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

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