In the data set below, what is the variance? 2, 1, 9, 7, 8 If the answer is a decimal, round it to the nearest tenth. variance (σ^2): _____

Calculate Mean: Calculate the mean of the data set. question_prompt: What is the variance of the data set 2, 1, 9, 7, 8? Mean μ = (2 + 1 + 9 + 7 + 8)/5 μ = 27/5 μ = 5.4Calculate Sum of Squared Deviations: Data set: 2, 1, 9, 7, 8 μ = 5.4 Calculate the sum of the squared deviations from the mean. Σ(x_i - μ)^2 = (2 - 5.4)^2 + (1 - 5.4)^2 + (9 - 5.4)^2 + (7 - 5.4)^2 + (8 - 5.4)^2 = (-3.4)^2 + (-4.4)^2 + (3.6)^2 + (1.6)^2 + (2.6)^2 = 11.56 + 19.36 + 12.96 + 2.56 + 6.76 = 53.2Calculate Variance: We know: Σ(x_i - μ)^2= 53.2 N= 5 Calculate the variance and round your answer to the nearest tenth. σ^2 = (Σ(x_i - μ)^2)/N σ^2 = 53.2/5 σ^2 = 10.64 σ^2 ≈ 10.6

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In the data set below, what is the variance? $\newline$ $2, 1, 9, 7, 8$ $\newline$ 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, 1, 9, 7, 8

\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. $\newline$ question_prompt: What is the variance of the data set $2, 1, 9, 7, 8$ ? $\newline$ Mean $\mu = (2 + 1 + 9 + 7 + 8)/5$ $\newline$ $\mu = 27/5$ $\newline$ $\mu = 5.4$
Calculate Sum of Squared Deviations: Data set: $2, 1, 9, 7, 8$ $\newline$ $\mu = 5.4$ $\newline$ Calculate the sum of the squared deviations from the mean. $\newline$ $\Sigma(x_i - \mu)^2 = (2 - 5.4)^2 + (1 - 5.4)^2 + (9 - 5.4)^2 + (7 - 5.4)^2 + (8 - 5.4)^2$ $\newline$ $= (-3.4)^2 + (-4.4)^2 + (3.6)^2 + (1.6)^2 + (2.6)^2$ $\newline$ $= 11.56 + 19.36 + 12.96 + 2.56 + 6.76$ $\newline$ $= 53.2$
Calculate Variance: We know: $\newline$ $\Sigma(x_i - \mu)^2= 53.2$ $\newline$ $N= 5$ $\newline$ Calculate the variance and round your answer to the nearest tenth. $\newline$ $\sigma^2 = (\Sigma(x_i - \mu)^2)/N$ $\newline$ $\sigma^2 = 53.2/5$ $\newline$ $\sigma^2 = 10.64$ $\newline$ $\sigma^2 \approx 10.6$