Question

PLS NEED HELP

Participants in a survey were asked the number of hours of television they watch each week. The dot plot shows the distribution of their responses. After the data was recorded in the dot plot, another response was found for a participant who watches 30 hours of television each week.


How will this additional data point affect the mean number of hours of television watched each week?

A. The mean number of hours will remain the same.

B. The mean number of hours will increase.

C. The effect on the mean number of hours cannot be determined.

D. The mean number of hours will decrease.

Answer 1

The mean number of hours will increase.

Explanation:

The mean is the sum of all the values in a data set divided by the number of values in that data set.

First, find the mean of the original data set without the additional value. There are 22 values.

So, the mean of the original data set is approximately 7.27 hours.

Next, add the additional data point to the sum of the number of hours, and divide by the new number of values in the data set, 23, to find the new mean.

So, the mean of the data set with the additional value is approximately 8.26 hours.

Since 8.26 > 7.27, the effect of the additional value is that the mean number of hours will increase.