The number of visitors to a museum per hour recorded in one day is 106, 122, 134, 150, 120, 92, 75. What is the mean absolute deviation for this dataset? Round the answer to the nearest tenth.(1 point)

Question

Responses

114.1
114.1

19.8
19.8

799.0
799.0

138.9

Answer 1

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

Mean = (106 + 122 + 134 + 150 + 120 + 92 + 75) / 7
Mean = 799 / 7
Mean = 114.1

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

Deviation = |106 - 114.1| = 8.1
Deviation = |122 - 114.1| = 7.9
Deviation = |134 - 114.1| = 19.9
Deviation = |150 - 114.1| = 35.9
Deviation = |120 - 114.1| = 5.9
Deviation = |92 - 114.1| = 22.1
Deviation = |75 - 114.1| = 39.1

We then find the mean of these deviations.

Mean deviation = (8.1 + 7.9 + 19.9 + 35.9 + 5.9 + 22.1 + 39.1) / 7
Mean deviation = 139.9 / 7
Mean deviation ≈ 19.9

Therefore, the mean absolute deviation for this dataset is approximately 19.9.

Answer 2

again

Answer 3

I apologize for the mistake in my previous response. Let's calculate the mean absolute deviation correctly.

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

Mean = (106 + 122 + 134 + 150 + 120 + 92 + 75) / 7
Mean = 799 / 7
Mean = 114.1

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

Absolute Deviation = |106 - 114.1| = 8.1
Absolute Deviation = |122 - 114.1| = 7.9
Absolute Deviation = |134 - 114.1| = 19.9
Absolute Deviation = |150 - 114.1| = 35.9
Absolute Deviation = |120 - 114.1| = 5.9
Absolute Deviation = |92 - 114.1| = 22.1
Absolute Deviation = |75 - 114.1| = 39.1

Now, we find the mean of these absolute deviations.

Mean absolute deviation = (8.1 + 7.9 + 19.9 + 35.9 + 5.9 + 22.1 + 39.1) / 7
Mean absolute deviation = 138.9 / 7
Mean absolute deviation ≈ 19.8

Therefore, the mean absolute deviation for this dataset is approximately 19.8.