Question

Molly and James tracked the average temperature in their city for the past 8 days. They recorded their temperature findings in this list. 74°F , 79°F , 76°F, 85°F, 87°F, 83°F, 86°F, 78°F What is the mean absolute deviation of this data set? Enter your answer in the box.

Answer 1

4.25

Explanation:

Here in this question, we want to calculate the mean absolute deviation of the data.

The first thing we will do here is to calculate the mean;

= (74 + 79 + 76 + 85 + 87 + 83 + 86 + 78)/8 = 81

Now, the next thing to do here is to calculate how far each of the values have deviated from the mean. This can be calculated by subtracting the mean from each individual value;

This is presented in the table on the attachment, please check attachment for this

Afterwards, we find the absolute value of all these subtractions then divide by 8 which is the number of values in the data.

Mean absolute deviation = Sum of all absolute deviations/number of values in dataset