Question

HELP ASAP PLEASE 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. A dot plot plots the number of hours of watching television. Zero, 3, 8, 12, and 14 hours each have 1. 2 hours and 7 hours have 3. 4, 5, 6, 10, and 15 each have 2. 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?

Answer 1

Let's calculate the mean number of hours of television watched each week before adding the additional data point of 30 hours, and then calculate the new mean after adding this data point.

Data:

0, 3, 8, 12, 14, 2, 2, 2, 7, 7, 7, 4, 4, 5, 5, 6, 6, 10, 10, 15, 15

Sum of these data points = 0+3+8+12+14+2+2+2+7+7+7+4+4+5+5+6+6+10+10+15+15 = 128

Number of these data points = 21

Mean before adding the additional data point = 128 / 21 ≈ 6.10

Now, add the additional data point of 30 hours:

New sum = 128 + 30 = 158

New number of data points = 21 + 1 = 22

New mean = 158 / 22 ≈ 7.18

Since the new mean (7.18) is greater than the old mean (6.10), the mean number of hours will increase.

So the answer is B. The mean number of hours will increase.