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.

Respuesta :

Answer:

d = 261 miles

Step-by-step 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,

[tex]median =\dfrac{\dfrac{n}{2}^{th}+(\dfrac{n}{2}+1)^{th}}{2}\\\\median =\dfrac{\dfrac{6}{2}^{th}+(\dfrac{6}{2}+1)^{th}}{2}\\\\=\dfrac{3^{rd}+4^{th}}{2}\\\\=\dfrac{238+284}{2}\\\\=261\ mi[/tex]

So, the median distance is 261 miles.