Question

The number of words Mr. Ahmad’s students read per minute is 109, 89, 112, 98, 101, 105, 120, 106. What is the mean absolute deviation of the dataset? Round the answer to the nearest tenth.

Answer 1

Leon counts the number of bugs he finds on his tomato plants each day and collects the following data: 18, 24, 15, 9, 10. The mean is 15.2. What is the final equation that he would use in determining the mean absolute deviation? Round each value to the nearest tenth.(2 points)

Answer 2

To find the mean absolute deviation, we first need to find the mean of the dataset:

Mean = (109+89+112+98+101+105+120+106)/8 = 103.5

Next, we find the deviation of each data point from the mean:

|109 - 103.5| = 5.5
|89 - 103.5| = 14.5
|112 - 103.5| = 8.5
|98 - 103.5| = 5.5
|101 - 103.5| = 2.5
|105 - 103.5| = 1.5
|120 - 103.5| = 16.5
|106 - 103.5| = 2.5

To find the mean absolute deviation, we add up all the deviations and divide by the number of data points:

Mean absolute deviation = (5.5+14.5+8.5+5.5+2.5+1.5+16.5+2.5)/8 = 6.875

Rounded to the nearest tenth, the mean absolute deviation is 6.9. Therefore, the answer is 6.9.