Mr. Z gave a test in Physics. Scores for the class are as follows: 76, 55, 73, 93, 29, 74, 57, 34, 54, and 75 out of a possible 100 points. Assume scores from this test are normally distributed.
Which three scores are the “most unusual”? Use z-scores to support your answer. Show all the values you calculated to support your answer. Round any z-scores in your answer to two decimal places.
Thanks for your Help.
I do not understand the method you want me to solve the problem with.
This is mine:
We can first find the median of this list of data, then find the numbers that are most of.
First, we can arrange it from least to greatest:
\(29, 34 , 54, 55, 57, 73, 74, 76, 93\)
The median, or middle number is 57.
The numbers farthest away from 57 are:
\( |57 - 29| = 28 \)
Therefore, the scores that are most unusual are:
29, 93, and 34.
I hope this helped,