There are five numbers in a data set. They are 1, 2, 18, 19 and x, where x is one of the largest two number of the five. What value does x need to be so that the median of the five numbers equals the mean of the five numbers?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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There are five numbers in a data set. They are 1, 2, 18, 19 and x, where x is one of the largest two number of the five. What value does x need to be so that the median of the five numbers equals the mean of the five numbers?

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Step 1

The five numbers are 1,2,18, 19, and x.

Here, x is the one of the largest two number of five.

Median is (n+1)/2 th item.

Median is the 3rd data point.

Since x is one of the two largest number, Median =18

 

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