In the data set below, what is the variance? 2, 2, 4, 6, 8, 6, 7 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 + 2 + 4 + 6 + 8 + 6 + 7)/7 μ = 35/7 μ = 5Calculate Sum of Squared Differences: Data set: 2, 2, 4, 6, 8, 6, 7 μ = 5 Calculate the sum of the squared differences from the mean. Σ(x_i - μ)^2 = (2 - 5)^2 + (2 - 5)^2 + (4 - 5)^2 + (6 - 5)^2 + (8 - 5)^2 + (6 - 5)^2 + (7 - 5)^2 = (-3)^2 + (-3)^2 + (-1)^2 + (1)^2 + (3)^2 + (1)^2 + (2)^2 = 9 + 9 + 1 + 1 + 9 + 1 + 4 = 34Calculate Variance: We know: Σ(x_i - μ)^2= 34 N= 7 Calculate the variance and round your answer to the nearest tenth. σ^2 = (Σ(x_i - μ)^2)/N σ^2 = 34/7 σ^2 ≈ 4.857 Round to the nearest tenth: σ^2 ≈ 4.9

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In the data set below, what is the variance? $\newline$ $2, 2, 4, 6, 8, 6, 7$ $\newline$ 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, 2, 4, 6, 8, 6, 7

\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 = $(2 + 2 + 4 + 6 + 8 + 6 + 7)/7$ $\newline$ $\mu = 35/7$ $\newline$ $\mu = 5$
Calculate Sum of Squared Differences: Data set: $2, 2, 4, 6, 8, 6, 7$ $\newline$ $\mu = 5$ $\newline$ Calculate the sum of the squared differences from the mean. $\newline$ $\Sigma(x_i - \mu)^2 = (2 - 5)^2 + (2 - 5)^2 + (4 - 5)^2 + (6 - 5)^2 + (8 - 5)^2 + (6 - 5)^2 + (7 - 5)^2$ $\newline$ $= (-3)^2 + (-3)^2 + (-1)^2 + (1)^2 + (3)^2 + (1)^2 + (2)^2$ $\newline$ $= 9 + 9 + 1 + 1 + 9 + 1 + 4$ $\newline$ $= 34$
Calculate Variance: We know: $\newline$ $\Sigma(x_i - \mu)^2= 34$ $\newline$ $N= 7$ $\newline$ Calculate the variance and round your answer to the nearest tenth. $\newline$ $\sigma^2 = \frac{\Sigma(x_i - \mu)^2}{N}$ $\newline$ $\sigma^2 = \frac{34}{7}$ $\newline$ $\sigma^2 \approx 4.857$ $\newline$ Round to the nearest tenth: $\sigma^2 \approx 4.9$