the mean absolute deviation.
To find the MAD, we need to find the mean of the data set first.
Adding up all the scores, we get:
55 + 60 + 70 + 70 + 75 + 75 + 75 + 80 + 80 + 85 + 85 + 85 + 85 + 90 + 90 + 95 + 100 = 1460
There are 17 scores in total, so the mean is:
mean = sum/number of scores = 1460/17 = 85.88 (rounded to the nearest hundredth)
Next, we need to find the absolute deviation for each score, which is the absolute value of the difference between each score and the mean. Then, we total up all the deviations:
|(55-85.88)| + |(60-85.88)| + |(70-85.88)| + |(70-85.88)| + |(75-85.88)| + |(75-85.88)| + |(75-85.88)| + |(80-85.88)| + |(80-85.88)| + |(85-85.88)| + |(85-85.88)| + |(85-85.88)| + |(85-85.88)| + |(90-85.88)| + |(90-85.88)| + |(95-85.88)| + |(100-85.88)|
= 30.88 + 25.88 + 15.88 + 15.88 + 10.88 + 10.88 + 10.88 + 5.88 + 5.88 + 0.88 + 0.88 + 0.88 + 0.88 + 4.12 + 4.12 + 9.12 + 14.12
= 147.96
Finally, to find the MAD, we divide the sum of the absolute deviations by the number of scores:
MAD = sum of absolute deviations/number of scores = 147.96/17 = 8.7047
So, the MAD is approximately 8.7047.
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
3 answers
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
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
the mean absolute deviation.
To find the MAD, we need to find the mean of the data set first.
Adding up all the scores, we get:
55 + 60 + 70 + 70 + 75 + 75 + 75 + 80 + 80 + 85 + 85 + 85 + 85 + 90 + 90 + 95 + 100 = 1430
There are 17 scores in total, so the mean is:
mean = sum/number of scores = 1430/17 = 84.12 (rounded to the nearest hundredth)
Next, we need to find the absolute deviation for each score, which is the absolute value of the difference between each score and the mean. Then, we total up all the deviations:
|(55-84.12)| + |(60-84.12)| + |(70-84.12)| + |(70-84.12)| + |(75-84.12)| + |(75-84.12)| + |(75-84.12)| + |(80-84.12)| + |(80-84.12)| + |(85-84.12)| + |(85-84.12)| + |(85-84.12)| + |(85-84.12)| + |(90-84.12)| + |(90-84.12)| + |(95-84.12)| + |(100-84.12)|
= 29.12 + 24.12 + 14.12 + 14.12 + 8.12 + 8.12 + 8.12 + 4.12 + 4.12 + 0.88 + 0.88 + 0.88 + 0.88 + 5.88 + 5.88 + 10.88 + 15.88
= 158.12
Finally, to find the MAD, we divide the sum of the absolute deviations by the number of scores:
MAD = sum of absolute deviations/number of scores = 158.12/17 = 9.3000
So, the MAD is approximately 9.3000.
To find the MAD, we need to find the mean of the data set first.
Adding up all the scores, we get:
55 + 60 + 70 + 70 + 75 + 75 + 75 + 80 + 80 + 85 + 85 + 85 + 85 + 90 + 90 + 95 + 100 = 1430
There are 17 scores in total, so the mean is:
mean = sum/number of scores = 1430/17 = 84.12 (rounded to the nearest hundredth)
Next, we need to find the absolute deviation for each score, which is the absolute value of the difference between each score and the mean. Then, we total up all the deviations:
|(55-84.12)| + |(60-84.12)| + |(70-84.12)| + |(70-84.12)| + |(75-84.12)| + |(75-84.12)| + |(75-84.12)| + |(80-84.12)| + |(80-84.12)| + |(85-84.12)| + |(85-84.12)| + |(85-84.12)| + |(85-84.12)| + |(90-84.12)| + |(90-84.12)| + |(95-84.12)| + |(100-84.12)|
= 29.12 + 24.12 + 14.12 + 14.12 + 8.12 + 8.12 + 8.12 + 4.12 + 4.12 + 0.88 + 0.88 + 0.88 + 0.88 + 5.88 + 5.88 + 10.88 + 15.88
= 158.12
Finally, to find the MAD, we divide the sum of the absolute deviations by the number of scores:
MAD = sum of absolute deviations/number of scores = 158.12/17 = 9.3000
So, the MAD is approximately 9.3000.