Question

The 20 bus drivers live a different distance in miles from the school.The 64 teachers live a different distance in miles from the schoolWhat is the difference between the number of teachers who live 15 or more miles away from the school and the number of busdrivers who live 15 or more miles away from the school?A. 38B. 10C. 5D. 48

Answer 1

Option A is correct.

38 is the difference between the number of teachers who live 15 or more miles away from the school and the number of bus drivers who live 15 or more miles away from the school.

Step-by-step explanation

From the boxplot, we can see that the teachers who live more thean 15 miles from the school start from the first point of the box, which signifies the first quartile of that distribution.

And for the bus drivers, the 15 miles or more starts from the marked point on the boxplot which is the median of that distribution.

First quartile = ¼(N + 1)

For the teachers, N = 64

First quartile = ¼(N + 1) = ¼(64 + 1) = ¼ (65) = 16.25

So, the number of teachers living 15 miles or more from the school

= 64 - 16 = 48

Median = ½(N + 1)

For the bus drivers, N = 20

Median = ½(N + 1) = ½(20 + 1) = ½(21) = 10.5

So, the number of bus drivers living 15 miles or more from the school

= 20 - 10 = 10

Difference = 48 - 10 = 38

Hope this Helps!!!