Question

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.(1 point)

Answer 1

WRONG

Answer 2

STILL WRONG:(

Answer 3

First, we calculate the mean of the dataset:

Mean = (109 + 89 + 112 + 98 + 101 + 105 + 120 + 106) / 8 = 940 / 8 = 117.5

Next, we find the absolute deviation for each data point by subtracting the mean from each data point:

|109 - 117.5| = 8.5
|89 - 117.5| = 28.5
|112 - 117.5| = 5.5
|98 - 117.5| = 19.5
|101 - 117.5| = 16.5
|105 - 117.5| = 12.5
|120 - 117.5| = 2.5
|106 - 117.5| = 11.5

To find the mean absolute deviation, we calculate the mean of these absolute deviations:

Mean Absolute Deviation = (8.5 + 28.5 + 5.5 + 19.5 + 16.5 + 12.5 + 2.5 + 11.5) / 8 = 105 / 8 = 13.1

Therefore, the mean absolute deviation of the dataset is 13.1.

Answer 4

I apologize for the incorrect answer. Let me recalculate.

First, let's find the mean of the dataset:

Mean = (109 + 89 + 112 + 98 + 101 + 105 + 120 + 106) / 8 = 840 / 8 = 105

Next, let's find the absolute deviation for each data point by subtracting the mean from each data point:

|109 - 105| = 4
|89 - 105| = 16
|112 - 105| = 7
|98 - 105| = 7
|101 - 105| = 4
|105 - 105| = 0
|120 - 105| = 15
|106 - 105| = 1

To find the mean absolute deviation, we calculate the mean of these absolute deviations:

Mean Absolute Deviation = (4 + 16 + 7 + 7 + 4 + 0 + 15 + 1) / 8 = 54 / 8 = 6.75

Therefore, the mean absolute deviation of the dataset is 6.75.

Answer 5

I apologize for the incorrect previous responses.

To calculate the mean absolute deviation, we need to follow these steps:

1. Find the mean of the dataset.

Mean = (109 + 89 + 112 + 98 + 101 + 105 + 120 + 106) / 8 = 840 / 8 = 105

2. Calculate the absolute deviation for each data point by finding the absolute difference between each data point and the mean.

|109 - 105| = 4
|89 - 105| = 16
|112 - 105| = 7
|98 - 105| = 7
|101 - 105| = 4
|105 - 105| = 0
|120 - 105| = 15
|106 - 105| = 1

3. Calculate the mean of these absolute deviations.

Mean Absolute Deviation = (4 + 16 + 7 + 7 + 4 + 0 + 15 + 1) / 8 = 54 / 8 = 6.75

Therefore, the mean absolute deviation of the dataset is 6.75.