Here are some summary statistics for last year's basketball team scoring output: lowest $=19\text { score } = 19$ points, $=55\text { mean } = 55$ points, $=49\text { median } = 49$ points, $=96\text { range } = 96$ points, $IQR=52\mathrm { IQR } = 52$ $Q1=22\mathrm { Q } 1 = 22$ standard $=6\text { deviation } = 6$ points.Is the distribution symmetric,skewed to the left,or skewed to the right? Explain.

A) Symmetric; mean higher than median.
B) Skewed to the left; mean higher than median.
C) Skewed to the right; mean higher than median.
D) Skewed to the right; mean lower than median.
E) Skewed to the left; mean lower than median.

Question

Here are some summary statistics for last year's basketball team scoring output: lowest

=19\text { score } = 19

points,

=55\text { mean } = 55

points,

=49\text { median } = 49

points,

=96\text { range } = 96

points,

IQR=52\mathrm { IQR } = 52

Q1=22\mathrm { Q } 1 = 22

standard

=6\text { deviation } = 6

points.Is the distribution symmetric,skewed to the left,or skewed to the right? Explain.

A) Symmetric; mean higher than median.
B) Skewed to the left; mean higher than median.
C) Skewed to the right; mean higher than median.
D) Skewed to the right; mean lower than median.
E) Skewed to the left; mean lower than median.

Alaa Eldin Mostafa · Accepted Answer

Final Answer : C, Explanation :  Since the mean is higher than the median and the lowest score occurs more frequently than the highest score, the distribution is skewed to the right.

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