Question

A fire drill occurred in the middle of a math test that Ms Ramirez was giving. She decided to add 5 points to everyone's original score. Which of the following statistical measures would adding these 5 points alter when compared to the original scores? 1. the mean score 2. the interquartile range 3. the range 4. the standard deviation

Answer 1

Concept

Given the data below as the original score of the student

`5,10,\text{15,20}`

The mean score is given as

`(5+10+15+20)/(4)=12.5`

Adding 5marks to the score we will be having the score below

`10,15,20,25`

Then the new mean score becomes

`(10+15+20+25)/(4)=17.5`

Hence the mean will be altered by adding

Other statistical measures will not be altered