In the data set below, what is the variance? 2, 6, 7, 8, 9, 9, 8 If the answer is a decimal, round it to the nearest tenth. variance (σ^2): _____

Calculate Squared Differences: Now, let's do the variance thing. We need to sum up each (number - mean)^2. So, (2 - 7)^2 + (6 - 7)^2 + (7 - 7)^2 + (8 - 7)^2 + (9 - 7)^2 + (9 - 7)^2 + (8 - 7)^2 That's (-5)^2 + (-1)^2 + (0)^2 + (1)^2 + (2)^2 + (2)^2 + (1)^2 Which is 25 + 1 + 0 + 1 + 4 + 4 + 1 Sum = 36Calculate Sum: Finally, divide that sum by the number of data points to get the variance. Variance = Sum / 7 Variance = 36 / 7 Variance = 5.1 (rounded to the nearest tenth)

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In the data set below, what is the variance? $\newline$ $2, 6, 7, 8, 9, 9, 8$ $\newline$ 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, 6, 7, 8, 9, 9, 8

\newline

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

\newline

variance

(\sigma^2):

_____

Calculate Squared Differences: Now, let's do the variance thing. $\newline$ We need to sum up each $(\text{number} - \text{mean})^2$ . $\newline$ So, $(2 - 7)^2 + (6 - 7)^2 + (7 - 7)^2 + (8 - 7)^2 + (9 - 7)^2 + (9 - 7)^2 + (8 - 7)^2$ $\newline$ That's $(-5)^2 + (-1)^2 + (0)^2 + (1)^2 + (2)^2 + (2)^2 + (1)^2$ $\newline$ Which is $25 + 1 + 0 + 1 + 4 + 4 + 1$ $\newline$ Sum = $36$
Calculate Sum: Finally, divide that sum by the number of data points to get the variance. $\newline$ $\text{Variance} = \frac{\text{Sum}}{7}$ $\newline$ $\text{Variance} = \frac{36}{7}$ $\newline$ $\text{Variance} = 5.1$ (rounded to the nearest tenth)