Question

If the coefficient of variation of height and weight for a group of students is 70% and 60 % respectively then​

Answer 1

Answer:

height is more consistent

Answer 2

Question: If the coefficient of variation of height and weight for a group of students is 70% and 60 % respectively then​ what is their mean if S.D of height and weight are 16 and 21 respectively.

Answer:

Their mean of height and weight are 22.85 and 35 respectively.

Step-by-step explanation:

For distribution of height,

Coefficient of variation, $cv$ = 70

Standard deviation, S.D = 16

Since $cv=$(Standard deviation × 100)/ Mean

⇒ $70=\frac{16}{Mean}$ × 100

⇒ Mean = $\frac{16}{70}$ × 100

⇒ Mean = 22.85

Thus, mean of heights for a group of students is 22.85.

For distribution of weight,

Coefficient of variation, $cv$ = 60

Standard deviation, S.D = 21

Since $cv=$(Standard deviation × 100)/ Mean

⇒ $60=\frac{21}{Mean}$ × 100

⇒ Mean = $\frac{21}{60}$ × 100

⇒ Mean = 35

Thus, mean of weights for a group of students is 35.

#SPJ3