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 .
7 answers
8.13.
rong
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.
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.
rong agine
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.
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.
rong agin
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.
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.
1 answer