The average number of newspapers for sale in an airport newsstand is 59 with a standard deviation of 9. The number of newspapers for sale in a convenience store is 36 with a standard deviation of 8. Which data set is more variable?

Respuesta :

Answer: Sale of newspaper in a convenience store is more variable.

Step-by-step explanation:

For variability or consistency , we use the method of coefficient of variation, which states that

[tex]\text{coefficient of variation}= \frac{\text{Standard deviation}}{\text{ Mean }}\times 100[/tex]

So for sale of newspaper in an airport newsstand is given by

[tex]\text{coefficient of variation}\\\\=\frac{9}{59}\times 100\\\\=\frac{900}{59}\\\\=15.25\%[/tex]

Similarly, for sale of newspaper in a convenience store is given by

[tex]\text{coefficient of variation}\\\\=\frac{8}{36}\times 100\\\\=\frac{800}{36}\\\\=22.22\%[/tex]

Since we get that the sale of newspaper in a convenience store is more than the sale of newspaper in an airport newsstand.

So, Sale of newspaper in a convenience store is more variable.