Statistics Question

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Step 1

(a) Mean : 

The mean of a data set is the sum of the terms divided by the total number of terms. Using math notation we have:

Statistics homework question answer, step 1, image 1

(b) Median : 

The median is the middle number in a sorted list of numbers. So, to find the median, we need to place the numbers in value order and find the middle number.

Ordering the data from least to greatest, we get:

3   3   5   7   12   18   

As you can see, we do not have just one middle number but we have a pair of middle numbers, so the median is the average of these two numbers:

Statistics homework question answer, step 1, image 2

(c) Range : 

The range is the difference between the highest and lowest values in the data set.

Ordering the data from least to greatest, we get:

3   3   5   7   12   18   

The lowest value is 3.

The highest value is 18.

The range = 18 - 3 = 15.

 

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