# HW-3 - Problem 3.7 The age values 13 15 16 16 19 20 20 21...

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Problem 3.7: The age values: 13, 15, 16, 16, 19, 20, 20, 21, 22, 22, 25, 25, 25, 25, 30, 33, 33, 35, 35, 35, 35, 36, 40, 45, 46, 52, 70. (a) Plot an equiwidth histogram of width 10. 0 1 2 3 4 5 6 7 8 9 0-10 11-20 21-30 31-40 41-50 51-60 61-70 (b) Give example of stratified sampling. Solution: Sample size =5. Strata’s to divide: young, middle-age and senior. Let’s consider peoples with age: <30: young >30 and <60: middle-aged >60: senior Total number of: Youngs: 15 Middle-aged: 11 Senior: 1 Total: 27 Sample size is 5, i.e. 5/27 *100= 18.5% of total. Number of youngs in new sample= (15 * 18.5)/100 =   2.8 ≈   3 Number of middle-aged in new sample= (11 * 18.5)/100 = 2.03 ≈   2 Number of seniors in new sample= (1 * 18.5)/100 =   0.18 ≈   0 13 Young 15 Young 16 Young 16 Young 19 Young 20 Young 20 Young 21 Young 22 Young 22 Young 25 Young 25 Young 25 Young 25 Young 30 Young 33 Middle-age 33 Middle-age 35 Middle-age 35 Middle-age 35 Middle-age 35 Middle-age 36 Middle-age 40 Middle-age 45 Middle-age 46 Middle-age 52 Middle-age 70 Senior Young Young Young Middle-aged Middle-aged New Sample of size 5.

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Problem L4-1: The age values: 13, 15, 16, 16, 19, 20, 20, 21, 22, 22, 25, 25, 25, 25, 30, 33, 33, 35, 35, 35, 35, 36, 40, 45, 46, 52, 70.
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