In the data set below, what is the variance? 3, 4, 1, 3, 1, 7, 2 If the answer is a decimal, round it to the nearest tenth. variance (σ^2): _____

Data Set: Data set: 3, 4, 1, 3, 1, 7, 2 Mean μ = 3 Calculate the sum of the squared differences from the mean, Σ(x_i - μ)^2. (3 - 3)^2 + (4 - 3)^2 + (1 - 3)^2 + (3 - 3)^2 + (1 - 3)^2 + (7 - 3)^2 + (2 - 3)^2 = (0)^2 + (1)^2 + (-2)^2 + (0)^2 + (-2)^2 + (4)^2 + (-1)^2 = 0 + 1 + 4 + 0 + 4 + 16 + 1 = 26Calculate Sum: We have: Σ(x_i - μ)^2= 26 Number of data points N= 7 Calculate the variance σ^2 and round your answer to the nearest tenth. σ^2 = (Σ(x_i - μ)^2)/N σ^2 = 26/7 σ^2 ≈ 3.71428571 Rounded to the nearest tenth: σ^2 ≈ 3.7

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In the data set below, what is the variance? $\newline$ $3, 4, 1, 3, 1, 7, 2$ $\newline$ 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, 4, 1, 3, 1, 7, 2

\newline

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

\newline

variance

(\sigma^2)

: _____

Data Set: Data set: $3, 4, 1, 3, 1, 7, 2$ $\newline$ Mean $\mu = 3$ $\newline$ Calculate the sum of the squared differences from the mean, $\Sigma(x_i - \mu)^2$ . $\newline$ $(3 - 3)^2 + (4 - 3)^2 + (1 - 3)^2 + (3 - 3)^2 + (1 - 3)^2 + (7 - 3)^2 + (2 - 3)^2$ $\newline$ $= (0)^2 + (1)^2 + (-2)^2 + (0)^2 + (-2)^2 + (4)^2 + (-1)^2$ $\newline$ $= 0 + 1 + 4 + 0 + 4 + 16 + 1$ $\newline$ $= $26$
Calculate Sum: We have:$\newline$$\Sigma(x_i - \mu)^2= 26$$\newline$Number of data points $N= 7$$\newline$Calculate the variance $\sigma^2$ and round your answer to the nearest tenth.$\newline$$\sigma^2 = \frac{\Sigma(x_i - \mu)^2}{N}$$\newline$$\sigma^2 = \frac{26}{7}$$\newline$$\sigma^2 \approx 3.71428571$$\newline$Rounded to the nearest tenth: $\sigma^2 \approx 3.7$