Question

A sample of discrete, quantitative data is skewed right and has a single outlier on the right side. The lower quartile is 45 and the upper quartile is 87. What are possible measures of the mean and median?

Answer 1

Explanation:

From the question we are told that:

Lower quartile
`x=45`

Upper quartile
`y=87`

Generally the equation for Mean is mathematically given by

`\=x=(Upper+Lower)/(2)`

`\=x=(x+y)/(2)`

`\=x=(45+87)/(2)`

`\=x=66`

Since Median m is half middle of distribution

`m=(Upper+Lower)/(2)`

Therefore

`\=x=m`

`m=66`