Math, asked by johan3350, 12 days ago

# The mean of the number of sales of cars over a 3-month period is \$87, and the standard deviation is 5. The mean of the commissions is \$5225, and the standard deviation is \$773. A. calculate the coefficient of variation. B. compare the variation of the two and give your comments regarding the variation.

12

## Heya................❤✌

A) Coefficient of Variation (sales) = (5/87) *100

= 5.74%

Coefficient of Variation ( commotions) = (773/5225)*100 = 14.8%

B) Commissions are more variable & less stable & less uniform than sales.

### Explanation:Coefficientofvariationislargeindicatesthatthegroupismorevariable&itislessstableorlessuniform. Ifacoefficientofvariationissmallthenitindicatesthatthegroupislessvariable&itismorestable&moreuniform.

0

The coefficients of variation are 5.78 and 14.8 respectively.

Step-by-step explanation:

Given:

Mean of sales (n₁) = 87

Standard deviation (S₁) = 5

Mean of commissions (n₂) = 5225

Standard deviation (S₂) = 773

To find:

Coefficients of variation

Formula:

Coefficient of variation = (S/n) × 100

Solution:

For the number of sales of cars:

Mean (n₁) = 87 and standard deviation (S₁) = 5

Using the given formula, we get

Coefficient of variation = (S/n) × 100

Coefficient of variation = (5/87) × 100

Coefficient of variation = 0.0578 × 100

Coefficient of variation = 5.78

For commissions:

Mean (n₂) = 5225 and standard deviation (S₂) = 773

Using the given formula, we get

Coefficient of variation = (S/n) × 100

Coefficient of variation = (773/5225) × 100

Coefficient of variation = 0.1479 × 100

Coefficient of variation = 14.8

The coefficient of variation for the number of sales is less than that of commissions. This implies that the data for the number of sales is less dispersed as compared to the data for the commissions.

#SPJ2

Similar questions
Math, 6 days ago
Political Science, 12 days ago
Social Sciences, 12 days ago
Math, 3 months ago
Math, 3 months ago
Math, 3 months ago