IXL - Variance and standard deviation (Algebra 1 practice)

In the data set below, what is the variance?

If the answer is a decimal, round it to the nearest tenth.

variance (σ²):

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Learn with an example

In the data set below, what is the variance?

If the answer is a decimal, round it to the nearest tenth.

variance (σ²):

The standard deviation (σ) is a measure of how much a data set varies.

The variance (σ²) is the square of the standard deviation.

Step
1:
Compute
the
mean,
μ
.

First add all of the numbers in the data set together. Then divide by the total number of values in the data set.

6 + 1 + 6 + 2 + 6

4.2

Step 2: Compute the variance, σ².

Take each number in the data set, subtract the mean, and square the result. Then take the sum of the squares.

(6 − 4.2)² + (1 − 4.2)² + ... + (6 − 4.2)² = 24.8

Now compute the variance by dividing the sum above by the total number of values in the data set.

σ²

24.8

4.96

Finally, round to the nearest tenth.

4.96 → 5.0

To the nearest tenth, the variance, σ², is 5.0.

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