Here are some summary statistics for all of the runners in a local 12 kilometre race: slowest $=124\text { time } = 124$ minutes $=85\text { mean } = 85$ minutes $=85\text { median } = 85$ minutes $=94\text { range } = 94$ minutes $IQR=56\mathrm { IQR } = 56$ $Q1=34\mathrm { Q } 1 = 34$ standard $=13\text { deviation } = 13$ minutes
Is the distribution symmetric,skewed to the left,or skewed to the right? Explain.

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

Question

Here are some summary statistics for all of the runners in a local 12 kilometre race: slowest

=124\text { time } = 124

minutes

=85\text { mean } = 85

minutes

=85\text { median } = 85

minutes

=94\text { range } = 94

minutes

IQR=56\mathrm { IQR } = 56

Q1=34\mathrm { Q } 1 = 34

standard

=13\text { deviation } = 13

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

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

Vivica Hodges · Accepted Answer

Final Answer : B, Explanation :  Since the mean and the median are the same, this suggests that the distribution is symmetric. In a symmetric distribution, the mean and median are equal or very close to each other.

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