eva earned the following test scores in science: 82, 100, 96, 90, 91. ms. wade entered the next score as 0…

eva earned the following test scores in science: 82, 100, 96, 90, 91. ms. wade entered the next score as 0 because eva was absent on test day and hadnt had a chance to make up the test. which statements are true based on the data? check all that apply. after adding the 0 test score, the mean would be the most appropriate measure of center to describe the data. after adding the 0 test score, the mean would be affected. after adding the 0 test score, the median would be the most appropriate measure of center to describe the data. before the missed test, evas median score was 96. before the missed test, evas median score was 91. before the missed test, evas mean score was 91.8.

eva earned the following test scores in science: 82, 100, 96, 90, 91. ms. wade entered the next score as 0 because eva was absent on test day and hadnt had a chance to make up the test. which statements are true based on the data? check all that apply. after adding the 0 test score, the mean would be the most appropriate measure of center to describe the data. after adding the 0 test score, the mean would be affected. after adding the 0 test score, the median would be the most appropriate measure of center to describe the data. before the missed test, evas median score was 96. before the missed test, evas median score was 91. before the missed test, evas mean score was 91.8.

Answer

Explanation:

Step1: Calculate mean before 0 - score

Sum of scores before = (82 + 100+96 + 90+91=459). Mean before (=\frac{459}{5}=91.8).

Step2: Find median before 0 - score

Arrange scores before in ascending order: (82,90,91,96,100). Median is the middle - value, so median before is (91).

Step3: Analyze effect of adding 0

When 0 is added, the new set of scores is (0,82,90,91,96,100). The mean is (\frac{459 + 0}{6}=\frac{459}{6}=76.5). The mean is affected by the outlier (0). The median of the new set is (\frac{90 + 91}{2}=90.5). Since 0 is an outlier, the median is a more appropriate measure of center than the mean.

Answer:

After adding the 0 test score, the mean would be affected. After adding the 0 test score, the median would be the most appropriate measure of center to describe the data. Before the missed test, Eva's median score was 91. Before the missed test, Eva's mean score was 91.8.