In the data set below, what is the variance? 7, 6, 5, 5, 5, 5 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. (7 - 5.5)^2 = (1.5)^2 = 2.25 (6 - 5.5)^2 = (0.5)^2 = 0.25 (5 - 5.5)^2 = (-0.5)^2 = 0.25 (5 - 5.5)^2 = (-0.5)^2 = 0.25 (5 - 5.5)^2 = (-0.5)^2 = 0.25 (5 - 5.5)^2 = (-0.5)^2 = 0.25Add Squared Differences: Add up all the squared differences. Sum of squared differences = 2.25 + 0.25 + 0.25 + 0.25 + 0.25 + 0.25 Sum of squared differences = 3.5Calculate Variance: 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) = 3.5 / 6 Variance (σ^2) = 0.583333...Round to Nearest Tenth: Round the variance to the nearest tenth. Variance (σ^2) ≈ 0.6

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

7, 6, 5, 5, 5, 5

\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. $\newline$ $(7 - 5.5)^2 = (1.5)^2 = 2.25$ $\newline$ $(6 - 5.5)^2 = (0.5)^2 = 0.25$ $\newline$ $(5 - 5.5)^2 = (-0.5)^2 = 0.25$ $\newline$ $(5 - 5.5)^2 = (-0.5)^2 = 0.25$ $\newline$ $(5 - 5.5)^2 = (-0.5)^2 = 0.25$ $\newline$ $(5 - 5.5)^2 = (-0.5)^2 = 0.25$
Add Squared Differences: Add up all the squared differences. $\newline$ Sum of squared differences = $2.25 + 0.25 + 0.25 + 0.25 + 0.25 + 0.25$ $\newline$ Sum of squared differences = $3.5$
Calculate Variance: 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 $\sigma^2$ = $\frac{3.5}{6}$ $\newline$ Variance $\sigma^2$ = $0$ . $583333$ ...
Round to Nearest Tenth: Round the variance to the nearest tenth. $\newline$ Variance $\sigma^2$ $\approx 0.6$