In the data set below, what is the variance? 9, 2, 6, 3, 3 If the answer is a decimal, round it to the nearest tenth. variance (σ^2): _____

Data Set: Data set: 9, 2, 6, 3, 3 μ = 4.6 Calculate the sum of the squared differences from the mean, Σ(x_i - μ)^2. (9 - 4.6)^2 + (2 - 4.6)^2 + (6 - 4.6)^2 + (3 - 4.6)^2 + (3 - 4.6)^2 = (4.4)^2 + (-2.6)^2 + (1.4)^2 + (-1.6)^2 + (-1.6)^2 = 19.36 + 6.76 + 1.96 + 2.56 + 2.56 = 33.2Calculate Sum of Squared Differences: We have: Σ(x_i - μ)^2= 33.2 N= 5 Now, calculate the variance using the formula σ^2 = (Σ(x_i - μ)^2)/N. σ^2 = 33.2/5 σ^2 = 6.64 Round the variance to the nearest tenth. σ^2 ≈ 6.6

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In the data set below, what is the variance? $\newline$ $9, 2, 6, 3, 3$ $\newline$ 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

9, 2, 6, 3, 3

\newline

If the answer is a decimal, round it to the nearest tenth.

\newline

variance

\sigma^2

: _____

Data Set: Data set: $9, 2, 6, 3, 3$ $\newline$ $\mu = 4.6$ $\newline$ Calculate the sum of the squared differences from the mean, $\Sigma(x_i - \mu)^2$ . $\newline$ $(9 - 4.6)^2 + (2 - 4.6)^2 + (6 - 4.6)^2 + (3 - 4.6)^2 + (3 - 4.6)^2$ $\newline$ $= (4.4)^2 + (-2.6)^2 + (1.4)^2 + (-1.6)^2 + (-1.6)^2$ $\newline$ $= 19.36 + 6.76 + 1.96 + 2.56 + 2.56$ $\newline$ $= 33.2$
Calculate Sum of Squared Differences: We have: $\newline$ $\Sigma(x_i - \mu)^2= 33.2$ $\newline$ $N= 5$ $\newline$ Now, calculate the variance using the formula $\sigma^2 = (\Sigma(x_i - \mu)^2)/N$ . $\newline$ $\sigma^2 = 33.2/5$ $\newline$ $\sigma^2 = 6.64$ $\newline$ Round the variance to the nearest tenth. $\newline$ $\sigma^2 \approx 6.6$