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Question

Listed below are the ages (in years) of Olympic marathon winners at the time of their victories. Use these ages to construct a frequency distribution. Use a class width of 5 years and begin with a lower-class limit of 20 years. Do the ages appear to have a normal distribution? Give reason.

Data Set (Ages of Olympic Marathon Winners):

$23 comma 28 comma 32 comma 30 comma 29 comma 27 comma 31 comma 34 comma 26 comma 33 comma 25 comma 30 comma 35 comma 24 comma 28 comma 29 comma 27 comma 31 comma 33 comma 26 comma 36 comma 34 comma 30 comma 32 comma 29 comma 28 comma 37 comma 25 comma 26 comma 35$

Accepted Answer

Yes, the distribution is approximately normal because it is symmetric, unimodal, and bell-shaped.

Answer

No, the distribution is not normal because the values are heavily skewed towards younger ages.

Answer

No, the distribution is not normal because the frequencies are nearly equal across all class intervals.

Answer

It cannot be determined without plotting a histogram.