Which of the two variables, the time spent by male children or the time spent by female children, has a larger dispersion? Explain the answer by using an appropriate measure that can compare dispersions between variables

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 28E
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Which of the two variables, the time spent by male children or the time spent by female children, has a larger dispersion?

Explain the answer by using an appropriate measure that can compare dispersions between variables

The table below summarises data collected from male and female children about the time they spent
on reading per week (X, in hours/week).
Male
Female
All
Sample size
20
22
? 42
Sum
values
?
?
(i)
of X Sum of X²
values
8,648
17,352
(ii) 26000
Mean
19.9
27
? 46.9
Standard
Deviation
6.19
7.91
? 14.1
Transcribed Image Text:The table below summarises data collected from male and female children about the time they spent on reading per week (X, in hours/week). Male Female All Sample size 20 22 ? 42 Sum values ? ? (i) of X Sum of X² values 8,648 17,352 (ii) 26000 Mean 19.9 27 ? 46.9 Standard Deviation 6.19 7.91 ? 14.1
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