Sarina tracks her time spent on homework each night for a week, in minutes. She collects the following times: 51, 60, 25, 15, 20, 5, 35. When she solves for the mean absolute deviation, what number will she use for the divisor?(1 point)

Responses

30.1
30.1

55
55

7
7

15.9

1 answer

To find the mean absolute deviation, Sarina first needs to find the mean (average) of her time spent on homework.

Mean = (51 + 60 + 25 + 15 + 20 + 5 + 35) / 7 = 27.43 (rounded to two decimal places)

Next, she needs to find the average distance of each data point from the mean.

Mean absolute deviation = [(51-27.43) + (60-27.43) + (25-27.43) + (15-27.43) + (20-27.43) + (5-27.43) + (35-27.43)] / 7

Simplifying this expression, we get:

Mean absolute deviation = (23.57 + 32.57 + -2.43 + -12.43 + -7.43 + -22.43 + 7.57) / 7

Mean absolute deviation = -0.93

Therefore, Sarina would use 7 as the divisor when calculating the mean absolute deviation. So, the correct answer is 7.