Compare Measures of Variation Practice
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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
.
To find the MAD (Mean Absolute Deviation), you need to calculate the average distance between each data point and the mean of the data set.
First, 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] = 82.647
Next, subtract the mean from each data point:
|55 - 82.647| = 27.647
|60 - 82.647| = 22.647
|70 - 82.647| = 12.647
|70 - 82.647| = 12.647
|75 - 82.647| = 7.647
|75 - 82.647| = 7.647
|75 - 82.647| = 7.647
|80 - 82.647| = 2.647
|80 - 82.647| = 2.647
|85 - 82.647| = 2.353
|85 - 82.647| = 2.353
|85 - 82.647| = 2.353
|85 - 82.647| = 2.353
|90 - 82.647| = 7.353
|90 - 82.647| = 7.353
|95 - 82.647| = 12.353
|100 - 82.647| = 17.353
Now, find the average of these absolute differences:
(27.647 + 22.647 + 12.647 + 12.647 + 7.647 + 7.647 + 7.647 + 2.647 + 2.647 + 2.353 + 2.353 + 2.353 + 2.353 + 7.353 + 7.353 + 12.353 + 17.353) / 17 = 10.353
Therefore, the MAD is approximately 10.353.
its wrong
Apologies for the error. Let's recalculate the MAD correctly.
To find the MAD, we need to find the absolute difference between each data point and the mean of the data set, and then find the average of these absolute differences.
First, 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] = 81.176
Next, subtract the mean from each data point:
|55 - 81.176| = 26.176
|60 - 81.176| = 21.176
|70 - 81.176| = 11.176
|70 - 81.176| = 11.176
|75 - 81.176| = 6.176
|75 - 81.176| = 6.176
|75 - 81.176| = 6.176
|80 - 81.176| = 1.176
|80 - 81.176| = 1.176
|85 - 81.176| = 3.824
|85 - 81.176| = 3.824
|85 - 81.176| = 3.824
|85 - 81.176| = 3.824
|90 - 81.176| = 8.824
|90 - 81.176| = 8.824
|95 - 81.176| = 13.824
|100 - 81.176| = 18.824
Now, find the average of these absolute differences:
(26.176 + 21.176 + 11.176 + 11.176 + 6.176 + 6.176 + 6.176 + 1.176 + 1.176 + 3.824 + 3.824 + 3.824 + 3.824 + 8.824 + 8.824 + 13.824 + 18.824) / 17 ≈ 9.18
Therefore, the MAD is approximately 9.18.
Its incorrect
Apologies for the previous incorrect response. Let's recalculate the MAD correctly.
To find the MAD (Mean Absolute Deviation), you need to calculate the average distance between each data point and the mean of the data set.
First, 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] = 82.647
Next, subtract the mean from each data point:
|55 - 82.647| = 27.647
|60 - 82.647| = 22.647
|70 - 82.647| = 12.647
|70 - 82.647| = 12.647
|75 - 82.647| = 7.647
|75 - 82.647| = 7.647
|75 - 82.647| = 7.647
|80 - 82.647| = 2.647
|80 - 82.647| = 2.647
|85 - 82.647| = 2.353
|85 - 82.647| = 2.353
|85 - 82.647| = 2.353
|85 - 82.647| = 2.353
|90 - 82.647| = 7.353
|90 - 82.647| = 7.353
|95 - 82.647| = 12.353
|100 - 82.647| = 17.353
Now, find the average of these absolute differences:
(27.647 + 22.647 + 12.647 + 12.647 + 7.647 + 7.647 + 7.647 + 2.647 + 2.647 + 2.353 + 2.353 + 2.353 + 2.353 + 7.353 + 7.353 + 12.353 + 17.353) / 17 = 8.647
Therefore, the MAD is approximately 8.647.
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
.
To find the MAD (Mean Absolute Deviation), you need to calculate the average difference between each data point and the mean of the data set.
First, 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 = 82.647
Next, subtract the mean from each data point and take the absolute value:
|55 - 82.647| = 27.647
|60 - 82.647| = 22.647
|70 - 82.647| = 12.647
|70 - 82.647| = 12.647
|75 - 82.647| = 7.647
|75 - 82.647| = 7.647
|75 - 82.647| = 7.647
|80 - 82.647| = 2.647
|80 - 82.647| = 2.647
|85 - 82.647| = 2.353
|85 - 82.647| = 2.353
|85 - 82.647| = 2.353
|85 - 82.647| = 2.353
|90 - 82.647| = 7.353
|90 - 82.647| = 7.353
|95 - 82.647| = 12.353
|100 - 82.647| = 17.353
Now, find the average (mean) of these absolute differences:
(27.647 + 22.647 + 12.647 + 12.647 + 7.647 + 7.647 + 7.647 + 2.647 + 2.647 + 2.353 + 2.353 + 2.353 + 2.353 + 7.353 + 7.353 + 12.353 + 17.353) / 17 ≈ 9.5294
Therefore, the MAD is approximately 9.5294.
Its wrong!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! get it right stupid!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
I apologize if my previous response was incorrect or unsatisfactory. Let me recalculate the MAD accurately.
To find the MAD (Mean Absolute Deviation), we need to calculate the average absolute difference between each data point and the mean of the data set.
Here are the given test scores:
55, 60, 70, 70, 75, 75, 75, 80, 80, 85, 85, 85, 85, 90, 90, 95, 100
First, 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 = 82.647
Next, subtract the mean from each data point and take the absolute value:
|55 - 82.647| = 27.647
|60 - 82.647| = 22.647
|70 - 82.647| = 12.647
|70 - 82.647| = 12.647
|75 - 82.647| = 7.647
|75 - 82.647| = 7.647
|75 - 82.647| = 7.647
|80 - 82.647| = 2.647
|80 - 82.647| = 2.647
|85 - 82.647| = 2.353
|85 - 82.647| = 2.353
|85 - 82.647| = 2.353
|85 - 82.647| = 2.353
|90 - 82.647| = 7.353
|90 - 82.647| = 7.353
|95 - 82.647| = 12.353
|100 - 82.647| = 17.353
Now, find the average (mean) of these absolute differences:
(27.647 + 22.647 + 12.647 + 12.647 + 7.647 + 7.647 + 7.647 + 2.647 + 2.647 + 2.353 + 2.353 + 2.353 + 2.353 + 7.353 + 7.353 + 12.353 + 17.353) / 17 ≈ 8.7065
Therefore, the MAD is approximately 8.7065.