An author collected the times (in minutes) it took him to run 4 miles on various

Question

An author collected the times (in minutes) it took him to run 4 miles on various courses during a 10-year period. The accompanying histogram shows the times. Describe the distribution and summarize the important features. What is it about running that might account for the shape of the histogram?

Describe the distribution and summarize the important features.

The distribution is

roughly symmetric

skewed to the left

skewed to the right

and

bimodal.

unimodal.

multimodal.

uniform.

It is centered at around

31 to 32

30 to 31

32 to 33

29 to 30

33 to 34

minutes, with most observations between

33 and 36

29 and 32

28 and 30

minutes.

Explanation / Answer

The figure isn't visible in the question. However I can guide you with the answer:

1. The distribution shape depends on following:

If it is symmetrical along mean then option 1 is correct
If it has left long tail then it is left skewed and 2 is correct
If it has right long tail then it is right skewed and 3 is correct

2. If there is one bell in the curve, then it' unimodal
If there are 2 peaks(bells) in the curve is bimodal
More than 2 peaks - multimodal
If no peaks only a uniform line then it uniform

3. Look for bucket around which the distribution is either symmetrical of bucket where it is centered around the point where there' mode or the highest frequency ( height)

4. If it is symmetrical then most observations will be between the bucket centered around mean
If it is not symertrical then the bucket which has mode ( or is near mode) has highest obs

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