In the data set below, what is the variance? 1, 2, 6, 2, 9 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 + 2 + 6 + 2 + 9)/5 μ = 20/5 μ = 4Calculate Sum of Squared Deviations: Data set: 1, 2, 6, 2, 9 μ = 4 Calculate the sum of the squared deviations from the mean. (1 - 4)^2 + (2 - 4)^2 + (6 - 4)^2 + (2 - 4)^2 + (9 - 4)^2 = (-3)^2 + (-2)^2 + (2)^2 + (-2)^2 + (5)^2 = 9 + 4 + 4 + 4 + 25 = 46Calculate Variance: We have: Σ(x_i - μ)^2= 46 N= 5 Calculate the variance and round your answer to the nearest tenth. σ^2 = (Σ(x_i - μ)^2)/N σ^2 = 46/5 σ^2 = 9.2 σ^2 ≈ 9.2 (since it is already at one decimal place, no further rounding is needed)

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In the data set below, what is the variance? $\newline$ $1, 2, 6, 2, 9$ $\newline$ 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, 2, 6, 2, 9

\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 = $(1 + 2 + 6 + 2 + 9)/5$ $\newline$ $\mu = 20/5$ $\newline$ $\mu = 4$
Calculate Sum of Squared Deviations: Data set: $1, 2, 6, 2, 9$ $\newline$ $\mu = 4$ $\newline$ Calculate the sum of the squared deviations from the mean. $\newline$ $(1 - 4)^2 + (2 - 4)^2 + (6 - 4)^2 + (2 - 4)^2 + (9 - 4)^2$ $\newline$ $= (-3)^2 + (-2)^2 + (2)^2 + (-2)^2 + (5)^2$ $\newline$ $= 9 + 4 + 4 + 4 + 25$ $\newline$ $= 46$
Calculate Variance: We have: $\newline$ $\Sigma(x_i - \mu)^2= 46$ $\newline$ $N= 5$ $\newline$ Calculate the variance and round your answer to the nearest tenth. $\newline$ $\sigma^2 = (\Sigma(x_i - \mu)^2)/N$ $\newline$ $\sigma^2 = 46/5$ $\newline$ $\sigma^2 = 9.2$ $\newline$ $\sigma^2 \approx 9.2$ (since it is already at one decimal place, no further rounding is needed)