In the data set below, what is the variance? 7, 8, 5, 6, 6 If the answer is a decimal, round it to the nearest tenth. variance (σ^2): _____

Calculate Sum Squared Differences: Now, let's calculate the sum of the squared differences from the mean. (7 - 6.4)^2 + (8 - 6.4)^2 + (5 - 6.4)^2 + (6 - 6.4)^2 + (6 - 6.4)^2 = (0.6)^2 + (1.6)^2 + (-1.4)^2 + (-0.4)^2 + (-0.4)^2 = 0.36 + 2.56 + 1.96 + 0.16 + 0.16 = 5.2Find Variance: Finally, we divide the sum of squared differences by the number of data points to find the variance. Variance (σ^2) = Sum of squared differences / Number of data points Variance (σ^2) = 5.2 / 5 Variance (σ^2) = 1.04 Since we need to round to the nearest tenth, the variance is 1.0.

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In the data set below, what is the variance? $\newline$ $7, 8, 5, 6, 6$ $\newline$ 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

7, 8, 5, 6, 6

\newline

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

\newline

variance

(\sigma^2)

: _____

Calculate Sum Squared Differences: Now, let's calculate the sum of the squared differences from the mean. $\newline$ $(7 - 6.4)^2 + (8 - 6.4)^2 + (5 - 6.4)^2 + (6 - 6.4)^2 + (6 - 6.4)^2$ $\newline$ = $(0.6)^2 + (1.6)^2 + (-1.4)^2 + (-0.4)^2 + (-0.4)^2$ $\newline$ = $0.36 + 2.56 + 1.96 + 0.16 + 0.16$ $\newline$ = $5.2$
Find Variance: Finally, we divide the sum of squared differences by the number of data points to find the variance. $\newline$ Variance $\sigma^2$ = Sum of squared differences / Number of data points $\newline$ Variance $\sigma^2$ = $\frac{5.2}{5}$ $\newline$ Variance $\sigma^2$ = $1$ . $04$ $\newline$ Since we need to round to the nearest tenth, the variance is $1.0$ .