In the data set below, what is the variance? 7, 7, 5, 8, 4, 3, 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 = (7 + 7 + 5 + 8 + 4 + 3 + 8)/7 μ = 42/7 μ = 6Calculate Sum of Squared Differences: Data set: 7, 7, 5, 8, 4, 3, 8 μ = 6 Calculate the sum of the squared differences from the mean. (7 - 6)^2 + (7 - 6)^2 + (5 - 6)^2 + (8 - 6)^2 + (4 - 6)^2 + (3 - 6)^2 + (8 - 6)^2 = (1)^2 + (1)^2 + (-1)^2 + (2)^2 + (-2)^2 + (-3)^2 + (2)^2 = 1 + 1 + 1 + 4 + 4 + 9 + 4 = 24Calculate Variance: We know: Σ(x_i - μ)^2= 24 N= 7 Calculate the variance and round your answer to the nearest tenth. σ^2 = (Σ(x_i - μ)^2)/N σ^2 = 24/7 σ^2 ≈ 3.42857142857 σ^2 ≈ 3.4 when rounded to the nearest tenth.

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In the data set below, what is the variance? $\newline$ $7, 7, 5, 8, 4, 3, 8$ $\newline$ 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

7, 7, 5, 8, 4, 3, 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 = $(7 + 7 + 5 + 8 + 4 + 3 + 8)/7$ $\newline$ $\mu = 42/7$ $\newline$ $\mu = 6$
Calculate Sum of Squared Differences: Data set: $7, 7, 5, 8, 4, 3, 8$
$\mu = 6$
Calculate the sum of the squared differences from the mean.
$(7 - 6)^2 + (7 - 6)^2 + (5 - 6)^2 + (8 - 6)^2 + (4 - 6)^2 + (3 - 6)^2 + (8 - 6)^2$
$= (1)^2 + (1)^2 + (-1)^2 + (2)^2 + (-2)^2 + (-3)^2 + (2)^2$
$= 1 + 1 + 1 + 4 + 4 + 9 + 4$
$= 24$
Calculate Variance: We know: $\newline$ $\Sigma(x_i - \mu)^2= 24$ $\newline$ $N= 7$ $\newline$ Calculate the variance and round your answer to the nearest tenth. $\newline$ $\sigma^2 = (\Sigma(x_i - \mu)^2)/N$ $\newline$ $\sigma^2 = 24/7$ $\newline$ $\sigma^2 \approx 3.42857142857$ $\newline$ $\sigma^2 \approx 3.4$ when rounded to the nearest tenth.