We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website.
Please click on "Accept cookies" if you agree to the setting of cookies. Cookies that do not require consent remain unaffected by this, see
cookie policy and privacy policy.
DECLINE COOKIES

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.

Guest Apr 28, 2018

#1**+1 **

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:

\( |57 - 29| = 28 \)

\(|57-93|=-36\)

\(|57-34|=23\)

Therefore, the scores that are most unusual are:

29, 93, and 34.

I hope this helped,

Gavin

GYanggg Apr 28, 2018