Question

Given the follow statistics about scores on the last math test, what is the best description of the shape of the distribution?

Answer 1

The shape of the distribution, is symmetric, is the best description of   statistics about scores.

What is standard deviation ?

The standard deviation is the positive square root of the variance of this data set. Variance of a data set is the sum of squared differences of the data values from its mean to the total count of data values.

The given data in the problem is;

Mean = 78%

Standard deviation = 4%

Min = 64

Median = 78

Q1 = 72

Q3 = 84

Max = 99

The condition for the symmetric distribution is found as;

$(\rm Q_2-Q_1)=Q_3-Q_2)$

From the data we have;

$(\rm Q_2-Q_1)=Q_3-Q_2)\\\\ (\rm Q_2-Q_1)= (\rm 84-78)= 6 \\\\ Q_3-Q_2)=(78-72) = 6$

So that , $(\rm Q_2-Q_1)=Q_3-Q_2)$.

Hence, the condition of symmetry is followed.

To learn more about the symmetry, refer to the link;l

brainly.com/question/15970176

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