In the data set below, what is the variance? 3, 9, 9, 1, 6, 7, 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 = (3 + 9 + 9 + 1 + 6 + 7 + 7)/7 μ = 42/7 μ = 6Calculate Sum of Squared Differences: Data set: 3, 9, 9, 1, 6, 7, 7 μ = 6 Calculate the sum of the squared differences from the mean, Σ(x_i - μ)^2. (3 - 6)^2 + (9 - 6)^2 + (9 - 6)^2 + (1 - 6)^2 + (6 - 6)^2 + (7 - 6)^2 + (7 - 6)^2 = (-3)^2 + (3)^2 + (3)^2 + (-5)^2 + (0)^2 + (1)^2 + (1)^2 = 9 + 9 + 9 + 25 + 0 + 1 + 1 = 54Calculate Variance: We have: Σ(x_i - μ)^2= 54 N= 7 Calculate the variance and round your answer to the nearest tenth. σ^2 = (Σ(x_i - μ)^2)/N σ^2 = 54/7 σ^2 ≈ 7.7 (rounded to the nearest tenth)

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In the data set below, what is the variance? $\newline$ $3, 9, 9, 1, 6, 7, 7$ $\newline$ 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

3, 9, 9, 1, 6, 7, 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 = $(3 + 9 + 9 + 1 + 6 + 7 + 7)/7$ $\newline$ $\mu = 42/7$ $\newline$ $\mu = 6$
Calculate Sum of Squared Differences: Data set: $3, 9, 9, 1, 6, 7, 7$
$\mu = 6$
Calculate the sum of the squared differences from the mean, $\Sigma(x_i - \mu)^2$ .
$(3 - 6)^2 + (9 - 6)^2 + (9 - 6)^2 + (1 - 6)^2 + (6 - 6)^2 + (7 - 6)^2 + (7 - 6)^2$
$= (-3)^2 + (3)^2 + (3)^2 + (-5)^2 + (0)^2 + (1)^2 + (1)^2$
$= 9 + 9 + 9 + 25 + 0 + 1 + 1$
$= 54$
Calculate Variance: We have: $\newline$ $\Sigma(x_i - \mu)^2= 54$ $\newline$ $N= 7$ $\newline$ Calculate the variance and round your answer to the nearest tenth. $\newline$ $\sigma^2 = (\Sigma(x_i - \mu)^2)/N$ $\newline$ $\sigma^2 = 54/7$ $\newline$ $\sigma^2 \approx 7.7$ (rounded to the nearest tenth)