Evelyn's class jumped rope in P.E. She counted the number of jumps each student completed before getting tangled in the rope. The number of jumps 7 students completed was:13 jumps10 jumps82 jumps77 jumps18 jumps30 jumps92 jumpsWhat was the mean absolute deviation of the numbers of jumps completed?If the answer is a decimal, round it to the nearest tenth.mean absolute deviation (MAD): jumpsSubmit
Question
Evelyn's class jumped rope in P.E. She counted the number of jumps each student completed before getting tangled in the rope. The number of jumps 7 students completed was:13 jumps10 jumps82 jumps77 jumps18 jumps30 jumps92 jumpsWhat was the mean absolute deviation of the numbers of jumps completed?If the answer is a decimal, round it to the nearest tenth.mean absolute deviation (MAD): jumpsSubmit
Solution
To find the mean absolute deviation (MAD), we first need to find the mean (average) of the data set.
Step 1: Add up all the numbers of jumps: 13 + 10 + 82 + 77 + 18 + 30 + 92 = 322 jumps
Step 2: Divide the total by the number of students (7) to find the mean: 322 / 7 = 46 jumps (rounded to the nearest whole number)
Next, we find the absolute deviation of each number in the set from the mean.
Step 3: Subtract the mean from each number in the set and take the absolute value:
|13 - 46| = 33 |10 - 46| = 36 |82 - 46| = 36 |77 - 46| = 31 |18 - 46| = 28 |30 - 46| = 16 |92 - 46| = 46
Step 4: Add up these absolute deviations: 33 + 36 + 36 + 31 + 28 + 16 + 46 = 226
Step 5: Divide this total by the number of students (7) to find the mean absolute deviation: 226 / 7 = 32.3 jumps
So, the mean absolute deviation (MAD) of the numbers of jumps completed is approximately 32.3 jumps.
Similar Questions
In the data set below, what is the mean absolute deviation?927413548524If the answer is a decimal, round it to the nearest tenth.mean absolute deviation (MAD): Submit
A construction worker checked the number of screws needed to complete 7 jobs. He counted:20 screws53 screws13 screws53 screws62 screws35 screws93 screwsWhat was the mean absolute deviation of the numbers of screws needed?If the answer is a decimal, round it to the nearest tenth.mean absolute deviation (MAD): screwsSubmit
Using the following data, calculate the mean absolute deviation:7 2 8 5 9 9 5 6 8 1What is the mean absolute deviation for these data? (4 points)2.266.58
Chad checked the remaining stock for each garment sold at the store where he worked. For 6 garments, there remained:74 items54 items28 items63 items81 items60 itemsWhat was the mean absolute deviation of the amounts of remaining stock?If the answer is a decimal, round it to the nearest tenth.mean absolute deviation (MAD): itemsSubmit
4. (08.06)The following data show the height, in inches, of 11 different plants in a garden:94109522210335After removing the outlier, what does the mean absolute deviation of this data set represent? (4 points)On average, the height of a plant varies 2.8 inches from the mean of 6 inches.On average, the height of a plant varies 3.2 inches from the mean of 5 inches.On average, the height of a plant varies 2.8 inches from the mean of 5 inches.On average, the height of a plant varies 3.2 inches from the mean of 6 inches.
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.