# Is the sample median always equal to one of the values in ## Problem 4E Chapter 1.2

Statistics for Engineers and Scientists | 4th Edition

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Problem 4E

Is the sample median always equal to one of the values in the sample? If so, explain why. If not, give an example.

Step-by-Step Solution:

Step 1 of 3 :

The claim is to check  the sample Median is always is equal to one of the values in the sample.

If it is not equal then we have to give example.

Step 2 of 3 :

Median :

If sample size is odd

The middle most value of the data when it is arranged in ascending order.

So, when the sample size is odd the median is equal to the value in the sample.

Example :

Let 1, 5, 10, 40, 13 be the sample

Arrange the sample in ascending order

1 , 5, 10, 13, 40.

In the given sample 10 is the median

Therefore, when the sample size is odd the median is equal to the value in the sample.

Step 3 of 3

##### ISBN: 9780073401331

Statistics for Engineers and Scientists was written by and is associated to the ISBN: 9780073401331. This full solution covers the following key subjects: sample, give, Example, explain, equal. This expansive textbook survival guide covers 153 chapters, and 2440 solutions. Since the solution to 4E from 1.2 chapter was answered, more than 271 students have viewed the full step-by-step answer. The answer to “Is the sample median always equal to one of the values in the sample? If so, explain why. If not, give an example.” is broken down into a number of easy to follow steps, and 23 words. The full step-by-step solution to problem: 4E from chapter: 1.2 was answered by , our top Statistics solution expert on 06/28/17, 11:15AM. This textbook survival guide was created for the textbook: Statistics for Engineers and Scientists , edition: 4th.

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