In the data set below, what is the variance? 2, 4, 5, 2, 9, 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. Mean = (2 + 4 + 5 + 2 + 9 + 8)/6 μ = 30/6 μ = 5Calculate Sum of Squared Deviations: Data set: 2, 4, 5, 2, 9, 8 μ = 5 Calculate the sum of squared deviations from the mean Σ(x_i - μ)^2. (2 - 5)^2 + (4 - 5)^2 + (5 - 5)^2 + (2 - 5)^2 + (9 - 5)^2 + (8 - 5)^2 = (-3)^2 + (-1)^2 + (0)^2 + (-3)^2 + (4)^2 + (3)^2 = 9 + 1 + 0 + 9 + 16 + 9 = 44Calculate Variance: We have: Σ(x_i - μ)^2= 44 N= 6 Calculate the variance and round your answer to the nearest tenth. σ^2 = (Σ(x_i - μ)^2)/N σ^2 = 44/6 σ^2 ≈ 7.333... Rounded to the nearest tenth: σ^2 ≈ 7.3

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In the data set below, what is the variance? $\newline$ $2, 4, 5, 2, 9, 8$ $\newline$ 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, 4, 5, 2, 9, 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. $\newline$ Mean = $(2 + 4 + 5 + 2 + 9 + 8)/6$ $\newline$ $\mu = 30/6$ $\newline$ $\mu = 5$
Calculate Sum of Squared Deviations: Data set: $2, 4, 5, 2, 9, 8$ $\newline$ $\mu = 5$ $\newline$ Calculate the sum of squared deviations from the mean $\Sigma(x_i - \mu)^2$ . $\newline$ $(2 - 5)^2 + (4 - 5)^2 + (5 - 5)^2 + (2 - 5)^2 + (9 - 5)^2 + (8 - 5)^2$ $\newline$ $= (-3)^2 + (-1)^2 + (0)^2 + (-3)^2 + (4)^2 + (3)^2$ $\newline$ $= 9 + 1 + 0 + 9 + 16 + 9$ $\newline$ $= $44$
Calculate Variance: We have:$\newline$$\Sigma(x_i - \mu)^2= 44$$\newline$$N= 6$$\newline$Calculate the variance and round your answer to the nearest tenth.$\newline$$\sigma^2 = (\Sigma(x_i - \mu)^2)/N$$\newline$$\sigma^2 = 44/6$$\newline$$\sigma^2 \approx 7.333...$$\newline$Rounded to the nearest tenth: $\sigma^2 \approx 7.3$