Question

In: Statistics and Probability

Male and female populations of humpback whaleshumpback whales under 80 years old are represented by age...

Male and female populations of

humpback whaleshumpback whales

under 80 years old are represented by age in the table below. Complete parts​ (a) through​ (d).

Age. Males. Females

​0-9 (13). (10)

​10-19 (11) (10)

​20-29 (18) (16)

​30-39 (18) (16)

​40-49 (25) (23)

​50-59 (22) (25)

​60-69 (19) (15)

​70-79 (14) (12)

Find the population mean and standard deviation of age for males and females.

Solutions

Expert Solution

Mid points(x) = (upper limit - lower limit)/2

For males :

Age Mid points(x) Number(f) fx fx^2
0-9 4.5 13 58.5 263.25
10-19 14.5 11 159.5 2312.75
20-29 24.5 18 441 10804.5
30-39 34.5 18 621 21424.5
40-49 44.5 25 1112.5 49506.25
50-59 54.5 22 1199 65345.5
60-69 64.5 19 1225.5 79044.75
70-79 74.5 14 1043 77703.5
Total 140 5860 306405

For females :

Age Mid points(x) Number(f) fx fx^2
0-9 4.5 10 45 202.5
10-19 14.5 10 145 2102.5
20-29 24.5 16 392 9604
30-39 34.5 16 552 19044
40-49 44.5 23 1023.5 45545.75
50-59 54.5 25 1362.5 74256.25
60-69 64.5 15 967.5 62403.75
70-79 74.5 12 894 66603
Total 127 5381.5 279761.75

orchestra answered 1 year ago
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