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)? based 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)? based on your answer, should downing use mean or median to report the center of the data?

Answer

Explanation:

Step1: Analyze the data set

The original scores are 86, 90, 92, 97, 100 and a new score of 42 is added. The low - value outlier (42) pulls the tail of the distribution to the left.

Step2: Determine the shape of distribution

Since the tail is pulled to the left by the outlier, the distribution is skewed left.

Step3: Decide on measure of center

In a skewed - left distribution, the mean is pulled down by the outlier. The median is a more robust measure of center and is not affected by extreme values. So, the median should be used.

Answer:

Shape: Skewed Left Measure of center: Median