Question

A distribution has the five-number summary shown below. What is the third quartile, Q3, of this distribution?

11, 21, 32, 43, 52

Answer 1

first you will have to find the median

Answer 2

so to get the median you would do 5+1 divide by 2 which will give us the position of the median

Answer 3

so the median is the 3rd number 32

Answer 4

to find the 3rd qtr we will have to find the median for the upper quartile

Answer 5

the numbers in the upper quartile are 32, 43, 52
so there are 3 numbers so we will do 3+1 divide by 2 and we get 2 which is the position of the 3rd qtr which is 43

Answer 6

thanks you so much for explaining how to find the third quartile