40 Questions
What is the lower class limit for the class 40-45 in the given frequency distribution?
40
What is the type of data that can have fractions or decimals?
Continuous
What is the graph that uses bars to display categorical data?
Bar chart
What is the measure of central tendency that is most influenced by an outlying value in the data set?
Mean
What is the sum of the deviations from the mean for any data set?
0
What type of distribution has more than one mode?
Bimodal
What is the type of data that can only take certain specific values?
Discrete
What is the measure of central tendency that is the middle value of the data set when it is arranged in order?
Median
What percentage of a data set lies within one standard deviation of the mean?
50%
What is the unit for the variance of a data set?
The square of the unit for the variable
What is the median of a data set?
A measure of central tendency
What can be said about the standard deviation of a data set?
It is always a positive value
What is the range of a data set?
The difference between the largest and smallest values
What is the interquartile range of a data set?
The difference between the first and third quartiles
What can be said about the mean absolute deviation of a data set?
It is a measure of variability
What is the relationship between the variance and standard deviation of a data set?
The standard deviation is the square root of the variance
What is the relationship between the mode, median, and mean in a positively skewed distribution?
The mode is less than the median, and the median is less than the mean.
What is the median of a data set with an odd number of measurements?
The middle value when the data is ordered from smallest to largest.
What is the definition of the mode?
The value that occurs most frequently in a data set.
What are two measures of central tendency?
Mean and median.
What is the characteristic of a symmetrical distribution?
The mean, mode, and median are all equal to each other.
What is the relationship between the mean and median in a negatively skewed distribution?
The mean is less than the median.
What is the characteristic of the tail of a positively skewed distribution?
The tail is to the right of the distribution.
What is the relationship between the median and mode in a positively skewed distribution?
The median is less than the mode.
What is the relative frequency for the class 80-90?
0.1700
What is the lower class limit for the class 50-60?
49.5
What is the upper class limit for the class 70-80?
79.5
What is the cumulative frequency for the class 60-70?
57
Can a frequency distribution have overlapping classes?
No
What is the organization of observed data into tabular form in which classes and frequencies are used called?
a frequency distribution
What is the number that occurred the most in the given stem-and-leaf diagram?
3
What is the purpose of constructing a relative frequency distribution?
To show the distribution of values in a data set
Which measure of central tendency is not affected by extreme values?
Median
What is the purpose of the mean absolute deviation?
To measure the spread of the data
What is the percentage of data values that is expected to fall between 54 and 66 in a bell-shaped distribution with a mean of 60 and a standard deviation of 3?
68 percent
Which of the following is a measure of variation?
Standard deviation
What is the value of the coefficient of variation for the data set 8,12,15,20,11,5,21,0?
62.52 percent
Which of the following statements is correct about the coefficient of variation?
Two sets of numbers with completely different means and standard deviations may have the same coefficient of variation.
What is the interquartile range for the set of quiz scores 7,4,4,7,2,9,10,6,7,3,8,5?
7.5
Which of the following measures is being used when the average distance from the mean in a set of data values is 10?
The mean absolute deviation
Study Notes
Statistics and Data Analysis
- A frequency distribution is an organization of observed data into tabular form in which classes and frequencies are used.
Relative Frequency and Cumulative Frequency
- Relative frequency is the proportion of observations that fall within a particular class.
- Cumulative frequency is the total number of observations that fall within a particular class and all preceding classes.
Stem-and-Leaf Diagrams
- A stem-and-leaf diagram is a graphical representation of data that shows the distribution of values.
- The number that occurred the most is the mode of the data set.
Histograms
- A histogram is a graphical representation of a frequency distribution.
- It is used to display the distribution of continuous data.
Measures of Central Tendency
- The mean is a measure of central tendency that is sensitive to outliers.
- The median is a measure of central tendency that is not affected by outliers.
- The mode is a measure of central tendency that represents the most frequent value in the data set.
Measures of Variability
- The range is the difference between the largest and smallest values in a data set.
- The interquartile range is the difference between the third quartile (Q3) and the first quartile (Q1).
- The standard deviation is a measure of variability that represents how spread out the data is from the mean.
- The mean absolute deviation is a measure of variability that represents the average distance from the mean.
Skewness
- A negatively skewed distribution has a tail to the left of the mean.
- A positively skewed distribution has a tail to the right of the mean.
True/False and Multiple-Choice Questions
- A set of true/false and multiple-choice questions covering various topics in statistics and data analysis, including measures of central tendency, measures of variability, and skewness.
Data Analysis
- How to construct a frequency distribution, histogram, and stem-and-leaf diagram from a given data set.
- How to calculate the mean, median, mode, range, interquartile range, and standard deviation from a given data set.
- How to interpret the results of data analysis and make inferences about the population.
Test your understanding of statistical concepts, including frequency distribution, class limits, and cumulative frequencies.
Make Your Own Quizzes and Flashcards
Convert your notes into interactive study material.
Get started for free
