Question

Use the following information to answer the next six exercises. Sixty-five randomly selected car salespersons were asked the number of cars they generally sell in one week. Fourteen people answered that they generally sell three cars; nineteen generally sell four cars; twelve generally sell five cars; nine generally sell six cars; eleven generally sell seven cars.

Interquartile range (IQR) = _____ – _____ = _____

Short answer

Interquartile range,$IQR=2$

Step-by-step solution

Given information

From Sixty-five car salespersons, fourteen people answered that they sell three cars; nineteen generally sell four cars; twelve generally sell five cars; nine generally sell six cars; eleven generally sell seven cars in one week.

Explanation

According to the given information, the data is

$$\begin{gathered} 33333333333333444444444444444444455555 \\ 555555566666666677777777777 \end{gathered}$$

Here we divide all these $65$data on a $100$scale. We asked to find the IQR of the number of cars sold from the data. Hence we get $25\%$of the data from the first is $4$. Also, we get $75\%$of the data from the first $6$. So,

$$\begin{gathered} IQR=6-4 \\ =2 \end{gathered}$$