In the data set below, what is the variance? 1, 1, 6, 1, 3, 6 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 = (1 + 1 + 6 + 1 + 3 + 6)/6 μ = 18/6 μ = 3Calculate Sum of Squared Differences: Data set: 1, 1, 6, 1, 3, 6 μ = 3 Calculate the sum of the squared differences from the mean. (1 - 3)^2 + (1 - 3)^2 + (6 - 3)^2 + (1 - 3)^2 + (3 - 3)^2 + (6 - 3)^2 = (-2)^2 + (-2)^2 + (3)^2 + (-2)^2 + (0)^2 + (3)^2 = 4 + 4 + 9 + 4 + 0 + 9 = 30Calculate Variance: We have: Σ(x_i - μ)^2= 30 N= 6 Calculate the variance and round your answer to the nearest tenth. σ^2 = (Σ(x_i - μ)^2)/N σ^2 = 30/6 σ^2 = 5 Since the result is not a decimal, there is no need to round it.

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In the data set below, what is the variance? $\newline$ $1, 1, 6, 1, 3, 6$ $\newline$ 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

1, 1, 6, 1, 3, 6

\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 = $(1 + 1 + 6 + 1 + 3 + 6)/6$ $\newline$ $\mu = 18/6$ $\newline$ $\mu = 3$
Calculate Sum of Squared Differences: Data set: $1, 1, 6, 1, 3, 6$ $\newline$ $\mu = 3$ $\newline$ Calculate the sum of the squared differences from the mean. $\newline$ $(1 - 3)^2 + (1 - 3)^2 + (6 - 3)^2 + (1 - 3)^2 + (3 - 3)^2 + (6 - 3)^2$ $\newline$ $= (-2)^2 + (-2)^2 + (3)^2 + (-2)^2 + (0)^2 + (3)^2$ $\newline$ $= 4 + 4 + 9 + 4 + 0 + 9$ $\newline$ $= 30$
Calculate Variance: We have: $\newline$ $\Sigma(x_i - \mu)^2= 30$ $\newline$ $N= 6$ $\newline$ Calculate the variance and round your answer to the nearest tenth. $\newline$ $\sigma^2 = (\Sigma(x_i - \mu)^2)/N$ $\newline$ $\sigma^2 = 30/6$ $\newline$ $\sigma^2 = 5$ $\newline$ Since the result is not a decimal, there is no need to round it.