Question

The median of a data set 8, 21, 17, and 13 is 15. If 17 is changed to 18, what will be the new median? a. 15.5 c. 50 b. 17.5 d. 17

Answer 1

Answer:

Option A) 15.5 is correct

The new median for the new data set is 15.5

Step-by-step explanation:

Given data set is 8,21,17,13

To find the median :

First order the given set of data into least to greatest

The ordered set is 8,13,17,21

Since the given set of data is even

We can take midvalues of data in the set

Median is the mean of two middle values in the data set

$Median=\frac{13+17}{2}$

$=\frac{30}{2}$

$=15$

Therefore Median=15 ( given )

Given that if 17 is changed to 18 then the given set of data  8,21,17,13 is changed into new set  8,21,18,13

To find the median :

First order the new set of data into least to greatest

The ordered set is 8,13,18,21

Since the given set of data is even

We can take two midvalues of new data in the set

Median is the mean of two middle values in the data set

$Median=\frac{13+18}{2}$

$=\frac{31}{2}$

$=15.5$

Therefore New Median=15.5

Therefore option A) 15.5 is correct

The new median for the new data set is 15.5