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.
Second quartile = median = ${50}^{th}$percentile = _______

Short answer

We get $Q_2=4$. So $4$is the second quartile.

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 second quartile of the number of cars sold which is the first $50\%$of the data. Hence we get $50\%$of the data from the first is $4$. Also, this is the median of the data.