Here are the science test scores from Ms. O’Donnell’s class:

Question

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

7.06.

Answer 2

wrong

Answer 3

To find the Mean Absolute Deviation (MAD), follow these steps:

1. Find the mean of the data set:
Mean = (sum of all numbers) / (number of data points)
Mean = (55 + 60 + 70 + 70 + 75 + 75 + 75 + 80 + 80 + 85 + 85 + 85 + 85 + 90 + 90 + 95 + 100) / 17
Mean = 1290 / 17
Mean = 76.47 (rounded to two decimal places)

2. Find the absolute deviation of each data point from the mean:
|55-76.47| = 21.47
|60-76.47| = 16.47
|70-76.47| = 6.47
|70-76.47| = 6.47
|75-76.47| = 1.47
|75-76.47| = 1.47
|75-76.47| = 1.47
|80-76.47| = 3.53
|80-76.47| = 3.53
|85-76.47| = 8.53
|85-76.47| = 8.53
|85-76.47| = 8.53
|85-76.47| = 8.53
|90-76.47| = 13.53
|90-76.47| = 13.53
|95-76.47| = 18.53
|100-76.47| = 23.53

3. Find the sum of the absolute deviations:
21.47 + 16.47 + 6.47 + 6.47 + 1.47 + 1.47 + 1.47 + 3.53 + 3.53 + 8.53 + 8.53 + 8.53 + 8.53 + 13.53 + 13.53 + 18.53 + 23.53 = 145

4. Find the MAD:
MAD = Sum of absolute deviations / Number of data points
MAD = 145 / 17
MAD ≈ 8.53

Therefore, the Mean Absolute Deviation (MAD) is approximately 8.53.

Answer 4

no

Answer 5

I apologize for the error. Let's recalculate the MAD using the correct method:

1. 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 = 76.47

2. Find the absolute deviation of each data point from the mean:

|55 - 76.47| = 21.47
|60 - 76.47| = 16.47
|70 - 76.47| = 6.47
...
|100 - 76.47| = 23.53

3. Find the mean of the absolute deviations:

Mean Absolute Deviation (MAD) = (21.47 + 16.47 + 6.47 + 6.47 + 1.47 + 1.47 + 1.47 + 3.53 + 3.53 + 8.53 + 8.53 + 8.53 + 8.53 + 13.53 + 13.53 + 18.53 + 23.53) / 17
MAD = 157.44 / 17
MAD ≈ 9.26

Therefore, the Mean Absolute Deviation (MAD) is approximately 9.26. Thank you for your patience.

Answer 6

nope

Answer 7

I apologize for the mistake. Let's recalculate the Mean Absolute Deviation (MAD) for the data set provided:

1. Find the mean of the data set:

(55 + 60 + 70 + 70 + 75 + 75 + 75 + 80 + 80 + 85 + 85 + 85 + 85 + 90 + 90 + 95 + 100) / 17 = 1350 / 17 = 79.41

2. Find the absolute deviation of each data point from the mean:

|55 - 79.41| = 24.41
|60 - 79.41| = 19.41
|70 - 79.41| = 9.41
...
|100 - 79.41| = 20.59

3. Find the sum of the absolute deviations:

24.41 + 19.41 + 9.41 + 9.41 + 4.41 + 4.41 + 4.41 + 0.59 + 0.59 + 5.59 + 5.59 + 5.59 + 5.59 + 10.59 + 10.59 + 15.59 + 20.59 = 160.59

4. Find the MAD:

MAD = Sum of absolute deviations / Number of data points
MAD = 160.59 / 17
MAD ≈ 9.45

Therefore, the Mean Absolute Deviation (MAD) is approximately 9.45. Thank you for your patience.

Answer 8

no.