In the data set below, what is the variance? 9, 6, 6, 2, 4, 3 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. (9 - 5)^2 + (6 - 5)^2 + (6 - 5)^2 + (2 - 5)^2 + (4 - 5)^2 + (3 - 5)^2 = 16 + 1 + 1 + 9 + 1 + 4 = 32Divide by Number of Values: Finally, we divide the sum of squared differences by the number of values to find the variance. Variance (σ^2) = 32 / 6 Variance (σ^2) = 5.333... Rounded to the nearest tenth: 5.3

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In the data set below, what is the variance? $\newline$ $9, 6, 6, 2, 4, 3$ $\newline$ 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

9, 6, 6, 2, 4, 3

\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. $\newline$ $(9 - 5)^2 + (6 - 5)^2 + (6 - 5)^2 + (2 - 5)^2 + (4 - 5)^2 + (3 - 5)^2$ $\newline$ $= 16 + 1 + 1 + 9 + 1 + 4$ $\newline$ $= 32$
Divide by Number of Values: Finally, we divide the sum of squared differences by the number of values to find the variance. $\newline$ Variance $\sigma^2$ = $\frac{32}{6}$ $\newline$ Variance $\sigma^2$ = $5$ . $333$ ... $\newline$ Rounded to the nearest tenth: $5.3$