Problem No. 4. 10 pts Given Histogram shows the distribution of serum cholestero

Question

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

Explanation / Answer

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

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

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

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