Male and female populations of humpback whales under 80 years old are represente

Question

Male and female populations of humpback whales under 80 years old are represented by age in the table below. Approximate the population mean and standard deviation of age for males. mu = (Round to two decimal places as needed.) sigma = (Round to two decimal places as needed.) Approximate the population mean and standard deviation of age for females. mu = (Round to two decimal places as needed.) sigma = (Round to two decimal places as needed.) Which gender has the higher mean age? have the higher mean age Which gender has the higher dispersion in age? have the greater dispersion

Explanation / Answer

from above for males

mean =41.41

and std deviation =(2155.397-41.4122)1/2 =20.99

similarly for females

mean =46.020

std deviation =(2493.93-46.022)1/2 =19.393

c) female have higher mean

men has high dispersion in age

age mid point x male (freq probability P(X) =freq/total xP(X) x^2P(x) 0-9 4.5 15 0.110 0.496 2.233 10-19 14.5 10 0.074 1.066 15.460 20-29 24.5 14 0.103 2.522 61.790 30-39 34.5 20 0.147 5.074 175.037 40-49 44.5 23 0.169 7.526 334.895 50-59 54.5 25 0.184 10.018 546.002 60-69 64.5 16 0.118 7.588 489.441 70-79 74.5 13 0.096 7.121 530.539 136 1 41.412 2155.397

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