In the data set below, what is the variance? 6, 3, 6, 8, 5, 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 = (6 + 3 + 6 + 8 + 5 + 8)/6 μ = 36/6 μ = 6Calculate Sum of Squared Differences: Data set: 6, 3, 6, 8, 5, 8 μ = 6 Calculate the sum of the squared differences from the mean. (6 - 6)^2 + (3 - 6)^2 + (6 - 6)^2 + (8 - 6)^2 + (5 - 6)^2 + (8 - 6)^2 = (0)^2 + (-3)^2 + (0)^2 + (2)^2 + (-1)^2 + (2)^2 = 0 + 9 + 0 + 4 + 1 + 4 = 18Calculate Variance: We have: Σ(x_i - μ)^2= 18 N= 6 Calculate the variance and round your answer to the nearest tenth. σ^2 = (Σ(x_i - μ)^2)/N σ^2 = 18/6 σ^2 = 3 Since the result is not a decimal, there is no need to round.

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In the data set below, what is the variance? $\newline$ $6, 3, 6, 8, 5, 8$ $\newline$ 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

6, 3, 6, 8, 5, 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 = $(6 + 3 + 6 + 8 + 5 + 8)/6$ $\newline$ $\mu = 36/6$ $\newline$ $\mu = 6$
Calculate Sum of Squared Differences: Data set: $6, 3, 6, 8, 5, 8$ $\newline$ $\mu = 6$ $\newline$ Calculate the sum of the squared differences from the mean. $\newline$ $(6 - 6)^2 + (3 - 6)^2 + (6 - 6)^2 + (8 - 6)^2 + (5 - 6)^2 + (8 - 6)^2$ $\newline$ $= (0)^2 + (-3)^2 + (0)^2 + (2)^2 + (-1)^2 + (2)^2$ $\newline$ $= 0 + 9 + 0 + 4 + 1 + 4$ $\newline$ $= 18$
Calculate Variance: We have: $\newline$ $\Sigma(x_i - \mu)^2= 18$ $\newline$ $N= 6$ $\newline$ Calculate the variance and round your answer to the nearest tenth. $\newline$ $\sigma^2 = (\Sigma(x_i - \mu)^2)/N$ $\newline$ $\sigma^2 = 18/6$ $\newline$ $\sigma^2 = 3$ $\newline$ Since the result is not a decimal, there is no need to round.