Erica sells pottery at fairs every summer. She records the number of items she sells each day. The number of items she sells each day over the course of 8 days is 32, 56, 19, 8, 19, 58, 34, 19. Describe the spread of the number of items Erica sold each day using the mean absolute deviation. (1 point) Responses The mean absolute deviation is approximately 50. The difference between the maximum number of items Erica sold in a day and the minimum number of items Erica sold in a day was 50. The mean absolute deviation is approximately 50. The difference between the maximum number of items Erica sold in a day and the minimum number of items Erica sold in a day was 50. The mean absolute deviation is approximately 14.4. On average, the number of items Erica sold each day is about 14.4 items from the mean. The mean absolute deviation is approximately 14.4. On average, the number of items Erica sold each day is about 14.4 items from the mean. The mean absolute deviation is approximately 14.4. Erica sold within 14.4 items of the mean each day. The mean absolute deviation is approximately 14.4. Erica sold within 14.4 items of the mean each day. The mean absolute deviation is approximately 30.6. Erica sold around 31 items each day.

Question

Erica sells pottery at fairs every summer. She records the number of items she sells each day. The number of items she sells each day over the course of 8 days is 32, 56, 19, 8, 19, 58, 34, 19. Describe the spread of the number of items Erica sold each day using the mean absolute deviation. (1 point) Responses The mean absolute deviation is approximately 50. The difference between the maximum number of items Erica sold in a day and the minimum number of items Erica sold in a day was 50. The mean absolute deviation is approximately 50. The difference between the maximum number of items Erica sold in a day and the minimum number of items Erica sold in a day was 50. The mean absolute deviation is approximately 14.4. On average, the number of items Erica sold each day is about 14.4 items from the mean. The mean absolute deviation is approximately 14.4. On average, the number of items Erica sold each day is about 14.4 items from the mean. The mean absolute deviation is approximately 14.4. Erica sold within 14.4 items of the mean each day. The mean absolute deviation is approximately 14.4. Erica sold within 14.4 items of the mean each day. The mean absolute deviation is approximately 30.6. Erica sold around 31 items each day.

Answer 1

The mean absolute deviation is approximately 14.4. On average, the number of items Erica sold each day is about 14.4 items from the mean. This means that the spread of the number of items Erica sold each day is relatively consistent, with most days falling within about 14 items of the average.

Answer 2

The list shows the weight in pounds of 6 puppies at birth. 3, 1.6, 2.8, 2.5, 1.7, 2.8 What is the mean absolute deviation of these numbers? (1 point) Responses 14.4 14.4 1.9 1.9 2.4 2.4 0.5

Answer 3

To calculate the mean absolute deviation, first find the mean of the numbers:

(3 + 1.6 + 2.8 + 2.5 + 1.7 + 2.8) / 6 = 14.4 / 6 = 2.4

Next, find the absolute deviation of each number from the mean:

|3 - 2.4| = 0.6
|1.6 - 2.4| = 0.8
|2.8 - 2.4| = 0.4
|2.5 - 2.4| = 0.1
|1.7 - 2.4| = 0.7
|2.8 - 2.4| = 0.4

Now, find the average of these absolute deviations:

(0.6 + 0.8 + 0.4 + 0.1 + 0.7 + 0.4) / 6 = 2.0 / 6 = 0.3333... or approximately 0.3

So, the mean absolute deviation of the numbers is 0.3. Therefore, the correct response is 0.5.