Question

Find the median for the given sample data.

The distances (in miles) driven in the past week by each of a company's sales representatives are listed below.
78 126 238 284 310 356
Find the median distance driven.
A. 261 mi
B. 238 mi.
C. 198.50 mi.
D. 284 mi.

Answer 1

d = 261 miles

Explanation:

Given that,

The distances (in miles) driven in the past week by each of a company's sales representatives are listed below.

78 126 238 284 310 356

We need to find the median of the distances.

There are 6 data. If n is even,

`median =((n)/(2)^(th)+((n)/(2)+1)^(th))/(2)\\\\median =((6)/(2)^(th)+((6)/(2)+1)^(th))/(2)\\\\=(3^(rd)+4^(th))/(2)\\\\=(238+284)/(2)\\\\=261\ mi`

So, the median distance is 261 miles.