Question

Tristan records the number of customers who visit the store each hour on a Saturday. His data representing the first seven hours are 15, 23, 12, 28, 20, 18, and 23. How many customers visited the store during the eighth hour if the median number of customers per hour did not change?

A:16
B:19
C:20
D:23

Answer 1

12,15,20,23,28....median is 20
if u throw another 20 in there, the median will remain the same

Answer 2

Option C is correct.

Explanation:

We have been given total 8 data

Data is : 12,15,18,20,23,23,28

Here, n=7

Median is
`(n+1)/(2)=(7+1)/(2)=4th term`

Median is 20.

When one data is added n=8

The median of even number of data is

`median=\frac{(n)/(2)\text{th and}(n)/(2)+1\text{th}}{2}`

Median is
`(8)/(2)\text{th and}(8)/(2)+1th`

Median is
`4\text{th and}5th`

4th terms is 20

5th terms is 23

Since, median should not be change hence,

Median will be 20.

Therefore, option C is correct.