Question

On the board, your teacher writes an example of how to find the median. One of the numbers is erased, leaving what is shown. Which choice could be true?

17, 20, 30, 28, 18

Median=24

A 12
B 22
C 24
D 34

Answer 1

The missing number is 34.

Explanation:

Answer 2

Median = Mid value of Set of observation

If number of observation is odd, suppose n

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

If number of observation is even , then

Median = Mean of two middle observation i.e
`((n)/(2)+((n)/(2)+1))/(2))^{\text{th term}`

Data set : 17, 20, 30, 28, 18

Data arranged in ascending order: 17,18,20,28,30

Let one data =x

Number of observation is even.

Given, Median = 24

As , when number of observation is even , median is mean of two mid values.

Median=
`(20+28)/(2)=24`→→→ getting the median.

So, x must be greater than 30.

The correct option satisfying the above condition is Option (D) 34.