In the data set below, what is the variance? 2, 3, 9, 3, 5 If the answer is a decimal, round it to the nearest tenth. variance (σ^2): _____

Calculate squared differences: Now, calculate the squared differences from the mean for each data point. (2 - 4.4)^2 + (3 - 4.4)^2 + (9 - 4.4)^2 + (3 - 4.4)^2 + (5 - 4.4)^2 = (-2.4)^2 + (-1.4)^2 + (4.6)^2 + (-1.4)^2 + (0.6)^2 = 5.76 + 1.96 + 21.16 + 1.96 + 0.36 = 31.2Find the variance: Finally, divide the sum of squared differences by the number of data points to find the variance. σ^2 = Σ(x_i - μ)^2 / N σ^2 = 31.2 / 5 σ^2 = 6.24 Round the variance to the nearest tenth. σ^2 ≈ 6.2

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In the data set below, what is the variance? $\newline$ $2, 3, 9, 3, 5$ $\newline$ 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

2, 3, 9, 3, 5

\newline

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

\newline

variance

\sigma^2

: _____

Calculate squared differences: Now, calculate the squared differences from the mean for each data point. $\newline$ $(2 - 4.4)^2 + (3 - 4.4)^2 + (9 - 4.4)^2 + (3 - 4.4)^2 + (5 - 4.4)^2$ $\newline$ = $(-2.4)^2 + (-1.4)^2 + (4.6)^2 + (-1.4)^2 + (0.6)^2$ $\newline$ = $5.76 + 1.96 + 21.16 + 1.96 + 0.36$ $\newline$ = $31.2$
Find the variance: Finally, divide the sum of squared differences by the number of data points to find the variance. $\newline$ $\sigma^2 = \frac{\Sigma(x_i - \mu)^2}{N}$ $\newline$ $\sigma^2 = \frac{31.2}{5}$ $\newline$ $\sigma^2 = 6.24$ $\newline$ Round the variance to the nearest tenth. $\newline$ $\sigma^2 \approx 6.2$