Question

1. 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?

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