In the data set below, what is the variance? 2, 3, 8, 8, 4, 2, 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 + 3 + 8 + 8 + 4 + 2 + 8)/7 μ = 35/7 μ = 5Calculate Squared Differences: Data set: 2, 3, 8, 8, 4, 2, 8 μ = 5 Calculate the sum of the squared differences from the mean. (2 - 5)^2 + (3 - 5)^2 + (8 - 5)^2 + (8 - 5)^2 + (4 - 5)^2 + (2 - 5)^2 + (8 - 5)^2 = (-3)^2 + (-2)^2 + (3)^2 + (3)^2 + (-1)^2 + (-3)^2 + (3)^2 = 9 + 4 + 9 + 9 + 1 + 9 + 9 = 50Calculate Variance: We know: Σ(x_i - μ)^2= 50 N= 7 Calculate the variance and round your answer to the nearest tenth. σ^2 = (Σ(x_i - μ)^2)/N σ^2 = 50/7 σ^2 ≈ 7.1 (rounded to the nearest tenth)

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In the data set below, what is the variance? $\newline$ $2, 3, 8, 8, 4, 2, 8$ $\newline$ 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, 3, 8, 8, 4, 2, 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 = $(2 + 3 + 8 + 8 + 4 + 2 + 8)/7$ $\newline$ $\mu = 35/7$ $\newline$ $\mu = 5$
Calculate Squared Differences: Data set: $2, 3, 8, 8, 4, 2, 8$
$\mu = 5$
Calculate the sum of the squared differences from the mean.
$(2 - 5)^2 + (3 - 5)^2 + (8 - 5)^2 + (8 - 5)^2 + (4 - 5)^2 + (2 - 5)^2 + (8 - 5)^2$
$= (-3)^2 + (-2)^2 + (3)^2 + (3)^2 + (-1)^2 + (-3)^2 + (3)^2$
$= 9 + 4 + 9 + 9 + 1 + 9 + 9$
$= 50$
Calculate Variance: We know: $\newline$ $\Sigma(x_i - \mu)^2= 50$ $\newline$ $N= 7$ $\newline$ Calculate the variance and round your answer to the nearest tenth. $\newline$ $\sigma^2 = (\Sigma(x_i - \mu)^2)/N$ $\newline$ $\sigma^2 = 50/7$ $\newline$ $\sigma^2 \approx 7.1$ (rounded to the nearest tenth)