In the data set below, what is the variance? 9, 3, 3, 4, 5 If the answer is a decimal, round it to the nearest tenth. variance (σ^2): _____

Data Set: Data set: 9, 3, 3, 4, 5 Mean μ = 4.8 Calculate the sum of the squared differences from the mean, Σ(x_i - μ)^2. (9 - 4.8)^2 + (3 - 4.8)^2 + (3 - 4.8)^2 + (4 - 4.8)^2 + (5 - 4.8)^2 = (4.2)^2 + (-1.8)^2 + (-1.8)^2 + (-0.8)^2 + (0.2)^2 = 17.64 + 3.24 + 3.24 + 0.64 + 0.04 = 24.8Calculate Sum: We have the sum of squared differences Σ(x_i - μ)^2 = 24.8 and the number of data points N = 5. Now, calculate the variance σ^2. σ^2 = (Σ(x_i - μ)^2)/N σ^2 = 24.8/5 σ^2 = 4.96 Round the variance to the nearest tenth. σ^2 ≈ 5.0

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In the data set below, what is the variance? $\newline$ $9, 3, 3, 4, 5$ $\newline$ 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, 3, 3, 4, 5

\newline

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

\newline

variance

(\sigma^2)

: _____

Data Set: Data set: $9, 3, 3, 4, 5$ $\newline$ Mean $\mu = 4.8$ $\newline$ Calculate the sum of the squared differences from the mean, $\Sigma(x_i - \mu)^2$ . $\newline$ $(9 - 4.8)^2 + (3 - 4.8)^2 + (3 - 4.8)^2 + (4 - 4.8)^2 + (5 - 4.8)^2$ $\newline$ $= (4.2)^2 + (-1.8)^2 + (-1.8)^2 + (-0.8)^2 + (0.2)^2$ $\newline$ $= 17.64 + 3.24 + 3.24 + 0.64 + 0.04$ $\newline$ $= $24$.$8$
Calculate Sum: We have the sum of squared differences $\Sigma(x_i - \mu)^2 = 24.8$ and the number of data points $N = 5$. Now, calculate the variance $\sigma^2$. $\sigma^2 = (\Sigma(x_i - \mu)^2)/N$ $\sigma^2 = 24.8/5$ $\sigma^2 = 4.96$ Round the variance to the nearest tenth. $\sigma^2 \approx 5.0$