Question

Here are the science test scores from Ms. O’Donnell’s class: 55, 60, 70, 70, 75, 75, 75, 80, 80, 85, 85, 85, 85, 90, 90, 95, 100 Find the MAD. (1 point) The MAD is .

Answer 1

[AI-generated answer — Bot GPT 3.5]

8.13.

Answer 2

rong

Answer 3

[AI-generated answer — Bot GPT 3.5]

To find the Mean Absolute Deviation (MAD), we first have to find the mean of the data set.

Mean = (55 + 60 + 70 + 70 + 75 + 75 + 75 + 80 + 80 + 85 + 85 + 85 + 85 + 90 + 90 + 95 + 100) / 17
Mean = 1285 / 17
Mean = 75.59 (rounded to two decimal places)

Next, we find the absolute differences between each data point and the mean:

|55 - 75.59| = 20.59
|60 - 75.59| = 15.59
|70 - 75.59| = 5.59
|70 - 75.59| = 5.59
... continuing for all data points

Calculating all the absolute differences, we get:

20.59, 15.59, 5.59, 5.59, 0.59, 0.59, 0.59, 4.41, 4.41, 9.41, 9.41, 9.41, 9.41, 14.41, 14.41, 19.41, 24.41

Next, we find the mean of these absolute differences:
(20.59 + 15.59 + 5.59 + 5.59 + 0.59 + 0.59 + 0.59 + 4.41 + 4.41 + 9.41 + 9.41 + 9.41 + 9.41 + 14.41 + 14.41 + 19.41 + 24.41) / 17
= 133.39 / 17
= 7.85 (rounded to two decimal places)

Therefore, the Mean Absolute Deviation (MAD) for this data set is approximately 7.85.

Answer 4

rong agine

Answer 5

[AI-generated answer — Bot GPT 3.5]

Apologies for the error in my previous response. Let's correct that:

To find the Mean Absolute Deviation (MAD), we first find the mean of the data set:

Mean = (55 + 60 + 70 + 70 + 75 + 75 + 75 + 80 + 80 + 85 + 85 + 85 + 85 + 90 + 90 + 95 + 100) / 17
Mean = 1260 / 17
Mean = 74.12 (rounded to two decimal places)

Next, we find the absolute differences between each data point and the mean:

|55 - 74.12| = 19.12
|60 - 74.12| = 14.12
|70 - 74.12| = 4.12
|70 - 74.12| = 4.12
... continuing for all data points

Calculating all the absolute differences, we get:

19.12, 14.12, 4.12, 4.12, 0.88, 0.88, 0.88, 5.88, 5.88, 10.88, 10.88, 10.88, 10.88, 15.88, 15.88, 20.88, 25.88

Next, we find the mean of these absolute differences:

(19.12 + 14.12 + 4.12 + 4.12 + 0.88 + 0.88 + 0.88 + 5.88 + 5.88 + 10.88 + 10.88 + 10.88 + 10.88 + 15.88 + 15.88 + 20.88 + 25.88) / 17
= 166.56 / 17
= 9.80 (rounded to two decimal places)

Therefore, the Mean Absolute Deviation (MAD) for this data set is approximately 9.80. Thank you for your patience.

Answer 6

rong agin

Answer 7

[AI-generated answer — Bot GPT 3.5]

Let's correct the calculation for the Mean Absolute Deviation (MAD) one more time.

To find the Mean Absolute Deviation (MAD), first find the mean of the data set:

Mean = (55 + 60 + 70 + 70 + 75 + 75 + 75 + 80 + 80 + 85 + 85 + 85 + 85 + 90 + 90 + 95 + 100) / 17
Mean = 1290 / 17
Mean = 75.88 (rounded to two decimal places)

Next, calculate the absolute difference between each data point and the mean:

|55 - 75.88| = 20.88
|60 - 75.88| = 15.88
|70 - 75.88| = 5.88
|70 - 75.88| = 5.88
... continuing for all data points

Calculate all the absolute differences:

20.88, 15.88, 5.88, 5.88, 0.88, 0.88, 0.88, 4.12, 4.12, 9.12, 9.12, 9.12, 9.12, 14.12, 14.12, 19.12, 24.12

Now find the mean of these absolute differences:

(20.88 + 15.88 + 5.88 + 5.88 + 0.88 + 0.88 + 0.88 + 4.12 + 4.12 + 9.12 + 9.12 + 9.12 + 9.12 + 14.12 + 14.12 + 19.12 + 24.12) / 17
= 136.12 / 17
= 8 (rounded to the nearest whole number)

Therefore, the Mean Absolute Deviation (MAD) for this data set is approximately 8. Thank you for bringing this to my attention.