In the data set below, what is the variance? 8, 7, 8, 2, 1 If the answer is a decimal, round it to the nearest tenth. variance (σ^2): _____

Calculate Mean: Calculate the mean of the data set. Mean = (8 + 7 + 8 + 2 + 1)/5 μ = 26/5 μ = 5.2Calculate Sum of Squared Deviations: Data set: 8, 7, 8, 2, 1 μ = 5.2 Calculate the sum of the squared deviations from the mean. (8 - 5.2)^2 + (7 - 5.2)^2 + (8 - 5.2)^2 + (2 - 5.2)^2 + (1 - 5.2)^2 = (2.8)^2 + (1.8)^2 + (2.8)^2 + (-3.2)^2 + (-4.2)^2 = 7.84 + 3.24 + 7.84 + 10.24 + 17.64 = 46.8Calculate Variance: We know: Σ(x_i - μ)^2= 46.8 N= 5 Calculate the variance and round your answer to the nearest tenth. σ^2 = (Σ(x_i - μ)^2)/N σ^2 = 46.8/5 σ^2 = 9.36 σ^2 ≈ 9.4

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In the data set below, what is the variance? $\newline$ $8, 7, 8, 2, 1$ $\newline$ 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

8, 7, 8, 2, 1

\newline

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

\newline

variance

(\sigma^2)

: _____

Calculate Mean: Calculate the mean of the data set. $\newline$ Mean = $(8 + 7 + 8 + 2 + 1)/5$ $\newline$ $\mu = 26/5$ $\newline$ $\mu = 5.2$
Calculate Sum of Squared Deviations: Data set: $8, 7, 8, 2, 1$ $\newline$ $\mu = 5.2$ $\newline$ Calculate the sum of the squared deviations from the mean. $\newline$ $(8 - 5.2)^2 + (7 - 5.2)^2 + (8 - 5.2)^2 + (2 - 5.2)^2 + (1 - 5.2)^2$ $\newline$ $= (2.8)^2 + (1.8)^2 + (2.8)^2 + (-3.2)^2 + (-4.2)^2$ $\newline$ $= 7.84 + 3.24 + 7.84 + 10.24 + 17.64$ $\newline$ $= 46.8$
Calculate Variance: We know: $\newline$ $\Sigma(x_i - \mu)^2= 46.8$ $\newline$ $N= 5$ $\newline$ Calculate the variance and round your answer to the nearest tenth. $\newline$ $\sigma^2 = (\Sigma(x_i - \mu)^2)/N$ $\newline$ $\sigma^2 = 46.8/5$ $\newline$ $\sigma^2 = 9.36$ $\newline$ $\sigma^2 \approx 9.4$