4. mr. downing graded his favorite five kids tests and the scores were: 86, 90, 92, 97, 100. then, he graded…

4. mr. downing graded his favorite five kids tests and the scores were: 86, 90, 92, 97, 100. then, he graded one more test that had a score of 42. what shape will the distribution of these test scores take (symmetric, skewed right, or skewed left)?\nbased on your answer, should downing use mean or median to report the center of the data?

4. mr. downing graded his favorite five kids tests and the scores were: 86, 90, 92, 97, 100. then, he graded one more test that had a score of 42. what shape will the distribution of these test scores take (symmetric, skewed right, or skewed left)?\nbased on your answer, should downing use mean or median to report the center of the data?

Answer

Explanation:

Step1: Arrange scores in order

$42,86,90,92,97,100$

Step2: Analyze distribution shape

The low - value 42 pulls the tail to the left, so it is skewed left.

Step3: Decide on measure of center

In a skewed - left distribution, the median is less affected by outliers. So median should be used.

Answer:

Shape: Skewed Left Measure of center: Median