Questions and Answers
The ___ is the average value of a set of numerical data, found by adding all the values and dividing by the number of elements in the set.
mean
The ___ is the absolute value of the difference between the member and the mean of the data in a set of numerical data.
deviation
The ___ is the average of the sum of the squared differences of the mean from each element in a set of numerical data.
variance
The ___ deviation is the square root of the variance in a set of numerical data.
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Calculate the mean of the set of data: 2,4,6,8,10,12.
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Calculate the mean of the set of data: 2,2,2,12,12,12.
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Calculate the mean of the set of data: 82,84,86,88,90,92.
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Calculate the variance of the set of data to two decimal places (2,4,6,8,10,12).
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Calculate the variance of the set of data to two decimal places (2,2,2,12,12,12).
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Calculate the variance of the set of data to two decimal places (82,84,86,88,90,92).
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Calculate the standard deviation of the set of data to two decimal places (2,4,6,8,10,12).
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Calculate the standard deviation of the set of data to two decimal places (2,2,2,12,12,12).
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Calculate the standard deviation of the set of data to two decimal places (82,84,86,88,90,92).
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Solve the system of equations: x + y = -4, x - y = 10.
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Find the result of the expression: (3 - 4i) + (2 + 3i).
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Graph the function: f(x) = x^{1/3}.
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Study Notes
Mean
- The mean represents the average of a numerical dataset, calculated by summing all values and dividing by their count.
- Examples of means:
- Data set (2, 4, 6, 8, 10, 12) has a mean of 7.
- Data set (2, 2, 2, 12, 12, 12) also has a mean of 7.
- Data set (82, 84, 86, 88, 90, 92) results in a mean of 87.
Deviation
- Deviation measures how much each data point differs from the mean, represented as the absolute value of this difference.
Variance
- Variance quantifies the spread of a dataset, calculated as the average of the squared differences from the mean.
- Calculated variance examples:
- For (2, 4, 6, 8, 10, 12), variance is 11.67.
- For (2, 2, 2, 12, 12, 12), variance equals 25.
- For (82, 84, 86, 88, 90, 92), variance is also 11.67.
Standard Deviation
- Standard deviation is derived from variance as its square root, indicating data dispersion.
- Examples of standard deviation:
- Data set (2, 4, 6, 8, 10, 12) has a standard deviation of 3.42.
- Data set (2, 2, 2, 12, 12, 12) has a standard deviation of 5.
- Data set (82, 84, 86, 88, 90, 92) results in a standard deviation of 3.42.
Linear Equations
- The system of equations x + y = -4 and x - y = 10 yields the solution x = 3 and y = -7.
Complex Numbers
- Adding complex numbers (3 - 4i) and (2 + 3i) results in (-6/13 - 17/13i).
Graphing
- Function represented by f(x) = x^(1/3) may be referred to for graphing cubic root behavior.
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Description
This flashcard quiz covers key concepts from Algebra 2 Unit 9, focusing on mean, variance, and standard deviation. Each card provides definitions and explanations of these statistical terms, aiding in your understanding of data analysis. Perfect for students looking to reinforce their knowledge in statistics.
