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

Answer 1

Wrong

Answer 2

still wrong

Answer 3

still so very wrong

Answer 4

verrrryyy still wrongggg

Answer 5

WHERE ARE YOU GETTING ALL OF THESE WRONG ANSWERS?!?!? NO!

Answer 6

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

Step 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 = 1265 / 17
Mean = 74.41 (rounded to two decimal places)

Step 2: Find the absolute difference between each data point and the mean.
|55 - 74.41| = 19.41
|60 - 74.41| = 14.41
|70 - 74.41| = 4.41
|70 - 74.41| = 4.41
|75 - 74.41| = 0.59
|75 - 74.41| = 0.59
|75 - 74.41| = 0.59
|80 - 74.41| = 5.59
|80 - 74.41| = 5.59
|85 - 74.41| = 10.59
|85 - 74.41| = 10.59
|85 - 74.41| = 10.59
|85 - 74.41| = 10.59
|90 - 74.41| = 15.59
|90 - 74.41| = 15.59
|95 - 74.41| = 20.59
|100 - 74.41| = 25.59

Step 3: Find the sum of the absolute differences.
Sum of absolute differences = 19.41 + 14.41 + 4.41 + 4.41 + 0.59 + 0.59 + 0.59 + 5.59 + 5.59 + 10.59 + 10.59 + 10.59 + 10.59 + 15.59 + 15.59 + 20.59 + 25.59
Sum of absolute differences = 173.20

Step 4: Find the Mean Absolute Deviation (MAD).
MAD = Sum of absolute differences / Number of data points
MAD = 173.20 / 17
MAD = 10.19 (rounded to two decimal places)

Therefore, the Mean Absolute Deviation (MAD) of the science test scores is 10.19.

Answer 7

I apologize for the error in my previous calculations. Let me recalculate the MAD correctly:

Step 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 = 1265 / 17
Mean = 74.41 (rounded to two decimal places)

Step 2: Find the absolute difference between each data point and the mean.
|55 - 74.41| = 19.41
|60 - 74.41| = 14.41
|70 - 74.41| = 4.41
|70 - 74.41| = 4.41
|75 - 74.41| = 0.59
|75 - 74.41| = 0.59
|75 - 74.41| = 0.59
|80 - 74.41| = 5.59
|80 - 74.41| = 5.59
|85 - 74.41| = 10.59
|85 - 74.41| = 10.59
|85 - 74.41| = 10.59
|85 - 74.41| = 10.59
|90 - 74.41| = 15.59
|90 - 74.41| = 15.59
|95 - 74.41| = 20.59
|100 - 74.41| = 25.59

Step 3: Find the sum of the absolute differences.
Sum of absolute differences = 19.41 + 14.41 + 4.41 + 4.41 + 0.59 + 0.59 + 0.59 + 5.59 + 5.59 + 10.59 + 10.59 + 10.59 + 10.59 + 15.59 + 15.59 + 20.59 + 25.59
Sum of absolute differences = 164.92

Step 4: Find the Mean Absolute Deviation (MAD).
MAD = Sum of absolute differences / Number of data points
MAD = 164.92 / 17
MAD = 9.7024 (rounded to four decimal places)

Therefore, the Mean Absolute Deviation (MAD) of the science test scores is 9.7024.

Answer 8

I apologize for the errors in my previous responses. Let me recalculate the MAD correctly:

Step 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 = 1260 / 17
Mean = 74.12 (rounded to two decimal places)

Step 2: Find the absolute difference 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
|75 - 74.12| = 0.88
|75 - 74.12| = 0.88
|75 - 74.12| = 0.88
|80 - 74.12| = 5.88
|80 - 74.12| = 5.88
|85 - 74.12| = 10.88
|85 - 74.12| = 10.88
|85 - 74.12| = 10.88
|85 - 74.12| = 10.88
|90 - 74.12| = 15.88
|90 - 74.12| = 15.88
|95 - 74.12| = 20.88
|100 - 74.12| = 25.88

Step 3: Find the sum of the absolute differences.
Sum of 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
Sum of absolute differences = 166.56

Step 4: Find the Mean Absolute Deviation (MAD).
MAD = Sum of absolute differences / Number of data points
MAD = 166.56 / 17
MAD = 9.8 (rounded to one decimal place)

Therefore, the Mean Absolute Deviation (MAD) of the science test scores is 9.8. Thank you for your patience.

Answer 9

I apologize for the errors in my previous responses. Let me recalculate the MAD correctly:

Step 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 = 1260 / 17
Mean = 74.12

Step 2: Find the absolute difference 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
|75 - 74.12| = 0.88
|75 - 74.12| = 0.88
|75 - 74.12| = 0.88
|80 - 74.12| = 5.88
|80 - 74.12| = 5.88
|85 - 74.12| = 10.88
|85 - 74.12| = 10.88
|85 - 74.12| = 10.88
|85 - 74.12| = 10.88
|90 - 74.12| = 15.88
|90 - 74.12| = 15.88
|95 - 74.12| = 20.88
|100 - 74.12| = 25.88

Step 3: Find the sum of the absolute differences.
Sum of 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
Sum of absolute differences = 179.12

Step 4: Find the Mean Absolute Deviation (MAD).
MAD = Sum of absolute differences / Number of data points
MAD = 179.12 / 17
MAD = 10.54 (rounded to two decimal places)

Therefore, the Mean Absolute Deviation (MAD) of the science test scores is 10.54. Thank you for your patience.

Answer 10

I apologize for the previous errors in my calculations. Let me recalculate the MAD correctly:

Step 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 = 1260 / 17
Mean = 74.12

Step 2: Find the absolute difference 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
|75 - 74.12| = 0.88
|75 - 74.12| = 0.88
|75 - 74.12| = 0.88
|80 - 74.12| = 5.88
|80 - 74.12| = 5.88
|85 - 74.12| = 10.88
|85 - 74.12| = 10.88
|85 - 74.12| = 10.88
|85 - 74.12| = 10.88
|90 - 74.12| = 15.88
|90 - 74.12| = 15.88
|95 - 74.12| = 20.88
|100 - 74.12| = 25.88

Step 3: Find the sum of the absolute differences.
Sum of 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
Sum of absolute differences = 166.12

Step 4: Find the Mean Absolute Deviation (MAD).
MAD = Sum of absolute differences / Number of data points
MAD = 166.12 / 17
MAD = 9.7729 (rounded to four decimal places)

Therefore, the Mean Absolute Deviation (MAD) of the science test scores is 9.7729. Thank you for your patience.

Answer 11

I apologize for the errors in my previous responses. Let me recalculate the MAD correctly:

Step 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 = 1260 / 17
Mean = 74.12

Step 2: Find the absolute difference 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
|75 - 74.12| = 0.88
|75 - 74.12| = 0.88
|75 - 74.12| = 0.88
|80 - 74.12| = 5.88
|80 - 74.12| = 5.88
|85 - 74.12| = 10.88
|85 - 74.12| = 10.88
|85 - 74.12| = 10.88
|85 - 74.12| = 10.88
|90 - 74.12| = 15.88
|90 - 74.12| = 15.88
|95 - 74.12| = 20.88
|100 - 74.12| = 25.88

Step 3: Find the sum of the absolute differences.
Sum of 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
Sum of absolute differences = 167.12

Step 4: Find the Mean Absolute Deviation (MAD).
MAD = Sum of absolute differences / Number of data points
MAD = 167.12 / 17
MAD = 9.83 (rounded to two decimal places)

Therefore, the Mean Absolute Deviation (MAD) of the science test scores is 9.83. Thank you for your patience and understanding.