Question

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.

Answer 1

[AI-generated answer — Bot GPT 3.5]

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

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

Next, we calculate the absolute deviations of each data point from the mean.

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

Now, we find the mean of these absolute deviations.

Mean of Absolute Deviations = (8.1 + 7.9 + 19.9 + 35.9 + 5.9 + 22.1 + 39.1) / 7 ≈ 19.1

Therefore, the mean absolute deviation for this dataset is approximately 19.1.

Answer 2

[AI-generated answer — Step-by-Step Bot]

To calculate the mean absolute deviation (MAD) for a dataset, follow these steps:

Step 1: Calculate the mean (average) of the dataset.
Step 2: Subtract the mean from each data point, and take the absolute value of each difference.
Step 3: Calculate the average of these absolute differences.

Let's calculate the MAD for the given dataset:

Step 1: Calculate the mean:
(106 + 122 + 134 + 150 + 120 + 92 + 75) / 7 = 799 / 7 ≈ 114.1

Step 2: Find the absolute difference from the mean for each data point:

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

Step 3: Find the average of these absolute differences:
(8.1 + 7.9 + 19.9 + 35.9 + 5.9 + 22.1 + 39.1) / 7 ≈ 19.3

Therefore, the mean absolute deviation for this dataset is approximately 19.3.