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A teacher surveyed her class after they had taken a vocabulary test. Eighteen of the students claimed they had studied at least one hour for the test. The remaining twelve students admitted that they had not studied for the test at all. The test results (expressed as a percent) for the two groups are shown below.

Studied: 87, 100, 94, 79, 92, 100, 95, 83, 89, 99, 100, 91, 89, 95, 100, 93, 96, 83
Did Not Study: 82, 72, 45, 91, 58, 83, 65, 87, 90, 77, 73, 89

Part 1: Calculate the mean of the group that did not study, rounded to the nearest tenth.
Part 2: Calculate the mean absolute deviation of the group that did not study, rounded to the nearest tenth.
Part 3: How many of the scores (from the group that did not study) are more than two mean absolute deviations from the mean?

Answers

Answer 1

Answer:

Didn't study: 76%

Mean absolute deviation: 11.2

Step-by-step explanation:

To find the mean, add all the scores from the people who didn't study and divide them by 12 (the total number of students who didn't study). You will get 76%To find the MAD, use the formula for MADTo answer the third, line them up in order. 45, 58, 65, 72, 73, 77, 82, 83, 87, 89, 90, 91. MAD is the average difference between the numbers. So, to find this answer, subtract two of the MAD's from the mean of 76%. 76-22.4 = 53.6. So, only one is more than two MAD's away from the mean of 76%.
Answer 2
92.5 is the answer for part 1

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