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Lesson: Finding and Interpreting the Variance and the Standard Deviation

Univariate data can be represented by measures of variation that assess the variability of the data. In this lesson, we will learn how to find and interpret variance and the standard deviation.

Worksheet: Finding and Interpreting the Variance and the Standard Deviation • 18 Questions

Q1:

Calculate the standard deviation of the values 45, 35, 42, 49, 39, and 34. Give your answer to 3 decimal places.

Q2:

Without calculating exact standard deviation values, determine which of the following data sets has the highest standard deviation.

A18, 31, 32, 55, 55, 55
B10, 20, 30, 40, 50, 50
C900,
1 800
,
2 700
,
3 600
,
4 500
,
5 400
D144, 144, 144, 144, 144, 145
E75, 75, 75, 75, 75, 75

Q3:

Calculate the standard deviation of the values 46, 43, 36, 39, 31, and 38. Give your answer to 3 decimal places.

Q4:

If for a set of 6 values equals 25, find the standard deviation of the set, and round the result to the nearest thousandth if needed.

Q5:

If for a set of 4 values equals 900, find the standard deviation of the set, and round the result to the nearest thousandth if needed.

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