In the data set below, what is the variance? 8, 2, 6, 2, 9 If the answer is a decimal, round it to the nearest tenth. variance (σ^2): _____

Subtract and Square: Now, subtract the mean from each data point and square the result. (8 - 5.4)^2 = (2.6)^2 = 6.76 (2 - 5.4)^2 = (-3.4)^2 = 11.56 (6 - 5.4)^2 = (0.6)^2 = 0.36 (2 - 5.4)^2 = (-3.4)^2 = 11.56 (9 - 5.4)^2 = (3.6)^2 = 12.96Add Squared Differences: Add up all the squared differences. Sum of squared differences = 6.76 + 11.56 + 0.36 + 11.56 + 12.96 Sum of squared differences = 43.2Calculate Variance: Divide the sum of squared differences by the number of data points to find the variance. Variance (σ^2) = 43.2 / 5 Variance (σ^2) = 8.64Round to Tenth: Round the variance to the nearest tenth. Variance (σ^2) ≈ 8.6

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In the data set below, what is the variance? $\newline$ $8, 2, 6, 2, 9$ $\newline$ 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, 2, 6, 2, 9

\newline

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

\newline

variance

(\sigma^2)

: _____

Subtract and Square: Now, subtract the mean from each data point and square the result. $\newline$ $(8 - 5.4)^2 = (2.6)^2 = 6.76$ $\newline$ $(2 - 5.4)^2 = (-3.4)^2 = 11.56$ $\newline$ $(6 - 5.4)^2 = (0.6)^2 = 0.36$ $\newline$ $(2 - 5.4)^2 = (-3.4)^2 = 11.56$ $\newline$ $(9 - 5.4)^2 = (3.6)^2 = 12.96$
Add Squared Differences: Add up all the squared differences. $\newline$ Sum of squared differences = $6.76 + 11.56 + 0.36 + 11.56 + 12.96$ $\newline$ Sum of squared differences = $43.2$
Calculate Variance: Divide the sum of squared differences by the number of data points to find the variance. $\newline$ Variance $\sigma^2$ = $\frac{43.2}{5}$ $\newline$ Variance $\sigma^2$ = $8$ . $64$
Round to Tenth: Round the variance to the nearest tenth. Variance $\sigma^2$ $\approx 8.6$