Question

Use the following information to answer the next two 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.

Looking at your box plot, does it appear that the data are concentrated together, spread out evenly, or concentrated in some areas, but not in others? How can you tell?

Short answer

Data is concentrated at$4$.

Step-by-step solution

Given information

From sixty-five car salespersons, 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 in one week.

Explanation

According to the given information, the data is

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

Hereby plotting the data we have seen that the first quartile of the data is 4 (that is the starting point of the data) also the median is $4$(that is marked by the dark line) also the$3^{rd}$ quartile is at $6$. So there is partly concentration at $4$. According to this the data does not has an outlier.