In the data set below, what is the variance? 8, 4, 9, 4, 8, 5, 4 If the answer is a decimal, round it to the nearest tenth. variance (σ^2): _____

Calculate Differences Squared: Now, let's do the variance part. We need to square the difference of each number from the mean, then add 'em up. (8 - 6)^2 + (4 - 6)^2 + (9 - 6)^2 + (4 - 6)^2 + (8 - 6)^2 + (5 - 6)^2 + (4 - 6)^2 = 4 + 4 + 9 + 4 + 4 + 1 + 4 = 30Sum Squared Differences: Finally, divide that sum by the number of values to get the variance. Variance = 30 / 7 Variance ≈ 4.3 (rounded to the nearest tenth)

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In the data set below, what is the variance? $\newline$ $8, 4, 9, 4, 8, 5, 4$ $\newline$ If the answer is a decimal, round it to the nearest tenth. $\newline$ variance $(\sigma^2)$ : _____

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Algebra 1

Variance and standard deviation

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Q. In the data set below, what is the variance?

\newline

8, 4, 9, 4, 8, 5, 4

\newline

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

\newline

variance

(\sigma^2)

: _____

Calculate Differences Squared: Now, let's do the variance part. $\newline$ We need to square the difference of each number from the mean, then add 'em up. $\newline$ $(8 - 6)^2 + (4 - 6)^2 + (9 - 6)^2 + (4 - 6)^2 + (8 - 6)^2 + (5 - 6)^2 + (4 - 6)^2$ $\newline$ $= 4 + 4 + 9 + 4 + 4 + 1 + 4$ $\newline$ $= 30$
Sum Squared Differences: Finally, divide that sum by the number of values to get the variance. $\newline$ Variance = $\frac{30}{7}$ $\newline$ Variance $\approx 4.3$ (rounded to the nearest tenth)