Histograms of random sample data are often used as an indication of the shape of
ID: 3065802 • Letter: H
Question
Histograms of random sample data are often used as an indication of the shape of the underlying population distribution. The histograms on the next page are based on random samples of size 30, 50 and 100 from the same population.
(a) Using the midpoint labels of the three histograms, what would you say about the estimated range of the population data from smallest to largest? Does the bulk of the data seem to be between 8 and 12 in all three histograms?
(i) Sample of size 30 ii) Sample of size SO 12 10 10 12 10 12 i) Sample of size 100 25 L 20 15 10 10Explanation / Answer
Answer: Since almost all three histograms shows that minimum value in the sample is 8 and the maximum value is 12 so the range is
Range=maximum value -minimum value=12-8=4
Yes, the bulk of the data seems to be between 8 and 12 in all three histograms
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