Questions and Answers
What is the formula for the area of a triangle using the area rule?
When would you use the sine rule in a triangle?
What is the formula for the cosine rule in a triangle?
In which quadrant is the sine function positive?
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What is the main purpose of the area rule?
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When would you use the cosine rule in a triangle?
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What is the main difference between the sine rule and the cosine rule?
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What is the purpose of the CAST diagram?
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What is the formula for calculating the total accumulated value at the end of an investment or loan term?
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What is the formula for calculating the effective interest rate?
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What is the probability of two independent events A and B occurring?
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What is the formula for calculating the probability of event A occurring given that event B has occurred?
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What is the concept of mutually exclusive events in probability?
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What is the purpose of a Venn diagram in probability?
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What is the concept of the intersection of two events in a Venn diagram?
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What is the purpose of a tree diagram in probability?
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What is the concept of a branch in a tree diagram?
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What is the concept of a level in a tree diagram?
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What is the formula for simple depreciation?
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What is the main difference between simple and compound depreciation?
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What is the purpose of a timeline in calculating compound interest?
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What is the formula for compound interest when interest is compounded more than once a year?
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What is the relationship between the initial value, final value, and depreciation rate in simple decay?
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How is the depreciation rate calculated in simple decay?
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What is the formula for finding the accumulated value in compound interest?
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What happens to the depreciation amount in compound depreciation?
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What is the purpose of breaking down periods in compound interest calculations?
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What is the formula for finding the angle θ in trigonometry when sin(θ) = x?
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What is the formula for the probability of multiple independent events occurring?
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In a tree diagram, what is represented on the first level?
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What is the purpose of a contingency table?
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What is the formula for the probability of an event A?
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What is the characteristic of a histogram that distinguishes it from a bar graph?
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What is the purpose of a frequency polygon?
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What is the formula for the conditional probability of A given B?
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What is the purpose of a tree diagram?
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What is the formula for the probability of multiple dependent events?
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What is the characteristic of a histogram that represents the frequency of data in a class interval?
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What does a large standard deviation indicate about a dataset?
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What is the purpose of calculating the variance in a dataset?
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Which of the following is a characteristic of a symmetric distribution?
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What is the formula for calculating the standard deviation of a dataset?
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What is the purpose of a box-and-whisker diagram?
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How do you calculate the interquartile range (IQR) of a dataset?
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What is an outlier in a dataset?
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What is the formula for calculating the upper boundary for identifying outliers?
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What is the purpose of a scatter plot?
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Which of the following is a characteristic of a right-skewed distribution?
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What is the purpose of plotting points at the midpoint of each class interval in a frequency polygon?
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What is the formula for calculating the cumulative frequency?
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What is the purpose of an ogive?
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What is the definition of variance?
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What is the property of standard deviation that makes it directly comparable with the mean or the data themselves?
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What is the formula for calculating the standard deviation?
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What is the purpose of finding the median class?
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What is the definition of relative frequency?
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What is the purpose of finding the cumulative frequency?
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What is the definition of a class interval?
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What is the main difference between the Area Rule and the Sine Rule?
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In which quadrant is cosine positive?
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What is the formula for finding the length of a side in a triangle using the Cosine Rule?
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When would you use the Area Rule to solve a triangle?
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What is the main purpose of the CAST diagram?
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Why is the Sine Rule useful for solving triangles?
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What is the formula for finding the area of a triangle using the Area Rule?
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When would you use the Cosine Rule to solve a triangle?
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What is the purpose of rearranging the formula to solve for i in simple and compound depreciation?
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What happens to the depreciation amount in compound depreciation over time?
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What is the purpose of using a timeline in compound interest calculations?
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What is the formula for calculating the accumulated value in compound interest when interest is compounded more than once a year?
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What is the relationship between the initial value, final value, and depreciation rate in compound decay?
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What is the purpose of breaking down periods in compound interest calculations?
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What is the formula for finding the angle θ in trigonometry when sin(θ) = x?
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What is the purpose of using a timeline in calculating compound depreciation?
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What is the formula for calculating the book value or depreciated value in simple depreciation?
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What is the purpose of using a timeline in calculating compound interest?
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What is the formula for calculating the total accumulated value at the end of an investment or loan term?
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What is the formula for simple interest?
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What is the concept of mutually exclusive events in probability?
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What is the purpose of a Venn diagram in probability?
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What is the formula for compound interest when interest is compounded more than once a year?
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What is the concept of the intersection of two events in a Venn diagram?
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What is the purpose of a tree diagram in probability?
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What is the concept of a branch in a tree diagram?
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What is the formula for the effective interest rate?
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What is the formula for the probability of two independent events A and B occurring?
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What is the probability of a specific sequence of events in a tree diagram?
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What is the purpose of a contingency table?
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What is the formula for the probability of an event A in a contingency table?
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What is the characteristic of a histogram that distinguishes it from a bar graph?
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What is the formula for the conditional probability of A given B in a contingency table?
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What is the purpose of a frequency polygon?
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What is the formula for the probability of multiple independent events occurring?
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What is the purpose of a tree diagram?
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What is the characteristic of a histogram that represents the frequency of data in a class interval?
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What is the formula for the probability of multiple dependent events occurring?
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What represents the ratio of the frequency of an event to the total number of observations?
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What is the purpose of plotting points at the midpoint of each class interval in a frequency polygon?
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What is the formula for calculating the cumulative frequency?
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What does a large standard deviation indicate about a dataset?
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What is the purpose of calculating the variance in a dataset?
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What is the formula for the standard deviation of a dataset?
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What is the purpose of an ogive?
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What is the formula for finding the median of a dataset using an ogive?
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What is the purpose of a frequency polygon?
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What is the characteristic of a histogram that distinguishes it from a bar graph?
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What is the main purpose of calculating the variance in a dataset?
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In a symmetric distribution, what is the relationship between the mean and the median?
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What is the formula for calculating the standard deviation of a dataset?
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What is the purpose of a box-and-whisker diagram?
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What is the characteristic of a right-skewed distribution?
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How do you calculate the interquartile range (IQR) of a dataset?
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What is the formula for calculating the upper boundary for identifying outliers?
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What is the purpose of a scatter plot?
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What is an outlier in a dataset?
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What is the purpose of calculating the variance in a dataset?
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What is the main difference between the Area Rule and the Sine Rule?
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What is the purpose of the CAST diagram in trigonometry?
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What is the condition for using the Cosine Rule to solve a triangle?
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What is the significance of the periodic nature of trigonometric functions in solving trigonometric equations?
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What is the inverse operation of the sine function in the context of trigonometry?
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When would you use the Sine Rule to solve a triangle?
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What is the correct formula for calculating the depreciated value of an asset using the compound depreciation method?
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What is the condition for using the Area Rule to solve a triangle?
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What is the purpose of using a timeline in calculating compound interest?
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What is the relationship between the Area Rule and the Sine Rule formulas?
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What is the purpose of the sine, cosine, and tangent functions in trigonometry?
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What is the relationship between the initial value, final value, and depreciation rate in compound decay?
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What is the formula for finding the accumulated value in compound interest when interest is compounded more than once a year?
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What happens to the depreciation amount in compound depreciation?
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What is the purpose of breaking down periods in compound interest calculations?
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What is the formula for finding the angle θ in trigonometry when tan(θ) = x?
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What is the main difference between simple and compound depreciation?
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What is the purpose of using a timeline in calculating compound interest when interest is compounded more than once a year?
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What is the primary difference between independent and dependent events in probability?
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When drawing a tree diagram, what is represented on the second level?
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What is the purpose of a contingency table in probability?
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What is the formula for calculating the probability of multiple independent events occurring?
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What is the characteristic of a histogram that distinguishes it from a bar graph?
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What is the formula for calculating the conditional probability of A given B?
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What is the purpose of a frequency polygon?
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What is the formula for calculating the probability of an event A?
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What is the key concept in calculating the probability of multiple dependent events?
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What is the purpose of a contingency table in calculating the probability of an event?
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What is the total accumulated value at the end of an investment or loan term if the initial value is $100, the interest rate is 5%, and the investment is compounded annually for 5 years?
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Two events A and B are dependent. If P(A) = 0.4 and P(B|A) = 0.7, what is the probability of both events occurring?
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A company has a nominal interest rate of 6% per annum, compounded quarterly. What is the effective interest rate?
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In a Venn diagram, what is the representation of the set of outcomes that are not in event A?
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What is the formula for the probability of three independent events A, B, and C occurring?
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What is the purpose of a tree diagram in probability?
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What is the formula for simple depreciation if the initial value is $100, the depreciation rate is 10%, and the depreciation is calculated for 5 years?
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What is the probability of event A occurring given that event B has occurred, if P(A) = 0.3, P(B) = 0.5, and P(A and B) = 0.2?
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What is the formula for the total accumulated value at the end of an investment or loan term if the interest is compounded more than once a year?
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In a Venn diagram, what is the representation of the set of outcomes that are in both events A and B?
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What is the main purpose of calculating the variance in a dataset?
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Which of the following distributions is characterized by a longer right tail?
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What is the formula for calculating the lower boundary for identifying outliers?
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What is the purpose of a scatter plot in identifying outliers?
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What is the main characteristic of a symmetric distribution?
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What is the formula for calculating the standard deviation of a dataset?
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What is the purpose of a box-and-whisker diagram?
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What is the formula for calculating the interquartile range (IQR) of a dataset?
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What is the characteristic of a left-skewed distribution?
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What is the purpose of calculating the five-number summary of a dataset?
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What is the main purpose of plotting points at the midpoint of each class interval in a frequency polygon?
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What is the relationship between the variance and the standard deviation of a dataset?
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What is the main difference between the relative frequency and the cumulative frequency?
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What is the purpose of finding the median class in a dataset?
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What is the formula for calculating the variance of a dataset?
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What is the main purpose of drawing an ogive?
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What is the characteristic of a dataset with a small standard deviation?
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What is the formula for calculating the cumulative frequency up to the i-th interval?
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What is the purpose of calculating the quartiles of a dataset?
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What is the main difference between a histogram and a frequency polygon?
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What is the general form of the angle θ in trigonometry when cos(θ) = x?
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An asset is depreciated using the compound depreciation method. If the principal amount is $1000 and the depreciation rate is 10% per year, what is the book value after 2 years?
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What is the main difference between the formulas for simple and compound depreciation?
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An investment is compounded quarterly with an annual interest rate of 8%. If the principal amount is $5000, what is the accumulated value after 5 years?
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What is the purpose of creating a timeline when calculating compound interest?
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What is the formula for finding the depreciation rate (i) in compound depreciation?
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What is the relationship between the initial value, final value, and depreciation rate in compound decay?
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What happens to the depreciation amount in compound depreciation over time?
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What is the purpose of breaking down periods in compound interest calculations?
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What is the formula for finding the angle θ in trigonometry when tan(θ) = x?
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Which of the following formulas is used to calculate the total accumulated value at the end of an investment or loan term?
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What is the main difference between the Area Rule and the Sine Rule?
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What is the relationship between the nominal interest rate and the effective interest rate?
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When would you use the Cosine Rule to find the length of a side of a triangle?
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Which of the following events is an example of dependent events?
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What is the formula for calculating the probability of event A given that event B has occurred?
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In what quadrant is the cosine function positive?
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What is the purpose of the CAST diagram in trigonometry?
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Which of the following is an example of mutually exclusive events?
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What is the purpose of a Venn diagram in probability?
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When would you use the Sine Rule to find the length of a side of a triangle?
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What is the formula for calculating the probability of two independent events A and B occurring?
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What is the main difference between the Sine Rule and the Cosine Rule?
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What is the purpose of the Area Rule in trigonometry?
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What is the concept of a level in a tree diagram?
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What is the formula for calculating the effective interest rate?
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In what quadrant is the tangent function positive?
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What is the purpose of a tree diagram in probability?
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What is the main difference between independent and dependent events?
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What is the purpose of a contingency table?
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What is the formula for calculating the probability of a specific path in a tree diagram?
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What is the main difference between a histogram and a bar graph?
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What is the formula for calculating the conditional probability of an event A given event B?
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What is the purpose of a frequency polygon?
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What is the formula for calculating the probability of an event A?
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What is the purpose of a tree diagram?
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What is the formula for calculating the probability of multiple dependent events?
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What is the characteristic of a histogram that represents the frequency of data in a class interval?
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What is the primary purpose of plotting points at the midpoint of each class interval in a frequency polygon?
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What is the relationship between the variance and standard deviation of a dataset?
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What is the purpose of calculating the cumulative frequency in an ogive?
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What is the characteristic of a dataset with a small standard deviation?
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What is the purpose of drawing a histogram?
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What is the formula for calculating the variance of a dataset?
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What is the purpose of calculating the relative frequency of a dataset?
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What is the characteristic of a dataset with a large standard deviation?
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What is the purpose of drawing a frequency polygon?
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What is the formula for calculating the cumulative frequency of a dataset?
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What is the primary reason for calculating the variance of a dataset?
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A dataset has a mean of 10 and a standard deviation of 2. Which of the following values is most likely to be an outlier?
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What is the main difference between a symmetric distribution and a right-skewed distribution?
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What is the purpose of calculating the interquartile range (IQR) in a dataset?
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What is the main advantage of using a box-and-whisker diagram to display a dataset?
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Which of the following is a characteristic of a left-skewed distribution?
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What is the primary purpose of using a scatter plot to display bivariate data?
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What is the formula for calculating the variance of a dataset?
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Which of the following is a characteristic of a symmetric distribution?
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What is the purpose of calculating the standard deviation of a dataset?
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