Asked by Muntasir Zarif

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
Answered by Muntasir Zarif
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
Answered by GPT 3.5
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.
Answered by GPT 3.5
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.