In the data set below, what is the variance? 6, 7, 3, 1, 4, 7, 7 If the answer is a decimal, round it to the nearest tenth. variance (σ^2): _____

Calculate Variance: Now, let's do the variance thing. We need to sum up each (number - mean)^2. (6 - 5)^2 + (7 - 5)^2 + (3 - 5)^2 + (1 - 5)^2 + (4 - 5)^2 + (7 - 5)^2 + (7 - 5)^2 = 1^2 + 2^2 + (-2)^2 + (-4)^2 + (-1)^2 + 2^2 + 2^2 = 1 + 4 + 4 + 16 + 1 + 4 + 4 = 34Sum of Squared Differences: Alright, got the sum. Now divide by the number of data points to get the variance. Variance = 34 / 7 Variance ≈ 4.857 Round it to the nearest tenth. Variance ≈ 4.9

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In the data set below, what is the variance? $\newline$ $6, 7, 3, 1, 4, 7, 7$ $\newline$ 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

6, 7, 3, 1, 4, 7, 7

\newline

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

\newline

variance

(\sigma^2)

: _____

Calculate Variance: Now, let's do the variance thing. $\newline$ We need to sum up each $(number - mean)^2$ . $\newline$ $(6 - 5)^2 + (7 - 5)^2 + (3 - 5)^2 + (1 - 5)^2 + (4 - 5)^2 + (7 - 5)^2 + (7 - 5)^2$ $\newline$ $= 1^2 + 2^2 + (-2)^2 + (-4)^2 + (-1)^2 + 2^2 + 2^2$ $\newline$ $= 1 + 4 + 4 + 16 + 1 + 4 + 4$ $\newline$ $= 34$
Sum of Squared Differences: Alright, got the sum. Now divide by the number of data points to get the variance. $\newline$ Variance = $\frac{34}{7}$ $\newline$ Variance $\approx 4.857$ $\newline$ Round it to the nearest tenth. $\newline$ Variance $\approx 4.9$