Showing posts with label central tendency. Show all posts
Showing posts with label central tendency. Show all posts

Friday, January 18, 2013

Average and Range Method

Introduction for average and range method

An average, central tendency of a data set is a measure of the "middle" or "expected" value of the data set. the average is calculated by combining the values from the set in a specific way and computing a single number as being the average of the set. Understanding Newton S Method Calculus is always challenging for me but thanks to all math help websites to help me out.

-   Source Wikipedia

The range is subtracting least number from greatest number.

Examples for Average and Range Method:

Example 1 for average and range method:

Find the average and range for the given number set. 6, 2, 5, 3, 7, 4

Solution:

First we have to arrange the numbers in ascending order, so we get,

2, 3, 4, 5, 6, 7

Range = greatest number – least number.

Range = 7 – 2

Range = 5

Average = `"sum of the numbers" / "count of the numbers"`

Average = `(2 + 3 + 4 + 5 + 6 + 7) / 6`

Average = `27/6`

Average = 4.5

Example 2 for average and range method:

Find the average and range for the given number set. 16, 12, 15, 13, 17, 14

Solution:

First we have to arrange the numbers in ascending order, so we get,

12, 13, 14, 15, 16, 17

Range = greatest number – least number.

Range = 17 – 12

Range = 5

Average = `"sum of the numbers" / "count of the numbers"`

Average = `(12 + 13 + 14 + 15 + 16 + 17) / 6`

Average = `87/6`

Average = 14.5

Example 3 for average and range method:

Find the average and range for the given number set. 26, 22, 25, 23, 24

Solution:

First we have to arrange the numbers in ascending order, so we get,

22, 23, 24, 25, 26

Range = greatest number – least number.

Range = 26 – 22

Range = 4

Average = `"sum of the numbers" / "count of the numbers"`

Average = `(22 + 23 + 24 + 25 + 26) / 5`

Average = `120/5`

Average = 24

Example 4 for average and range method:

Find the average and range for the given number set. 36, 32, 35, 33, 34

Solution:

First we have to arrange the numbers in ascending order, so we get,

32, 33, 34, 35, 36

Range = greatest number – least number.

Range = 36 – 32

Range = 4

Average = `"sum of the numbers" / "count of the numbers"`

Average = `(32 + 33 + 34 + 35 + 36) / 5`

Average = `170/5`

Average = 34


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Practice Problems for Average and Range Method:

Problem 1 for average and range method:

Find the average and range for the given number set. 47, 42, 45, 43, 44

Range = 5

Average = 44.2

Problem 2 for average and range method:

Find the average and range for the given number set. 56, 52, 55, 53, 54, 51

Range = 5

Average = 53.5