Questions: The measure of dispersion that measures how much the data differ from the mean is called the.

Solution Steps

The mean \( \mu \) of the dataset is calculated as follows:

\[ \mu = \frac{\sum x_i}{n} = \frac{144}{8} = 18.0 \]

The variance \( \sigma^2 \) is computed using the formula for sample variance:

\[ \sigma^2 = \frac{\sum (x_i - \mu)^2}{n-1} = 27.43 \]

The standard deviation \( \sigma \) is the square root of the variance:

\[ \sigma = \sqrt{27.43} = 5.24 \]

The measure of dispersion that quantifies how much the data differ from the mean is called the variance.

Final Answer