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Problem No. 4. 10 pts Given Histogram shows the distribution of serum cholesterol level in milligrams per deciliter for a sample of men. Healthy serum cholesterol level is less than 200 mg/dL. Borderline high risk level: 200- 240 mg/dL. High risk level: greater than 240 mg/dL. 0 20 0.15 0.10 0.05 0.00 100 200 Serum choiesterol (mgidl Use the histogram to estimate the following: (a) Is the percentage of men with cholesterol levels below 240 mg/dL closest to 30%, 50% or 70%? (b) In which interval are there more men: 100-200 mg/dL or 240-340 mg/dL.? Solution

Answer 1

From the given histogram, the frequency table obtained is as follows

Class Interval Frequency Cumulative Frequency 100-120 2 2 120-140 4 6 140-160 3 9 160-180 12 21 180-200 13 34 200-220 19 53 220-240 15 68 240-260 14 82 260-280 8 90 280-300 5 95 300-320 1 96 320-340 4 100

a) The percentage of men with cholesterol level below 240mg/dL is closest to 70%. i.e., the cumulative frequency below 240 mg/dL is 68 (2+4+3+12+13+19+15)

b) between the interval 100-200 the number of men = 34

between the interval 240 -340 the number of men = 32 (14+8+5+1+4)

Hence we can say that there are more men between the interval 100-200 as compared to the interval 240-340