Question

$\huge \sf \fbox \red{☃question}$
___________________________

The following table gives the values of mean and variance of heights and weights of the 20th standard students of a school.

which is more varying than the other ?
___________________________

=> Need a correct answer ☃️

=> Step by step explaination needed ☃️

=> wrong answer will be reported on the spot ☺️​

Answer 1

Answer:

your solution is as follows

pls mark it as brainliest

Step-by-step explanation:

$to \: find : \\ nature \: of \: variability \\ (non - uniformity) \\ \\ for \: section \: of \: heights \\ mean \: (x) = 155.cm \\ variance \: = 72.25 \: cm {}^{2} \\ S.D \: (σx) = \sqrt{72.25} = 8.5 \: cm \\ \\ C.V \: (a) = \frac{σx}{x} \times 100 \\ \\ = \frac{8.5}{155} \times 100 \\ \\ = \frac{850}{155} \\ \\ C.V \: (a) = 5.483 \: \%$

$similarly \: then \\ for \: section \: of \: weights \\ mean \: (y) = 46.50 \: kg \\ variance \: = 28.09 \: kg {}^{2} \\ S.D \: (σy) = \sqrt{28.09} = 5.3 \: kg \\ \\ CV \: (b) = \frac{σy}{y} \times 100 \\ \\ = \frac{5.3}{46.5} \times 100 \\ \\ = \frac{530}{46.5} \\ \\CV \: (b) = 11.397 \: \%$

$so \: we \: know \: that \\ among \: the \: two \: sections \: \\ the \: section \: whose \: coefficient \: of \\ variation \: is \: highest \\ that \: section \: is \: more \: inconsistent \\ ie \: more \: varying \\ \\ since \: here \\ CV \: (b) > CV \: (a) \\ section \: of \: weight \: is \: more \: varying$