Find Midrange Math Problems

Introduction to finding midrange math problems:

In Statistical math, we are well known regarding the concept of range which is the difference between maximum and minimum value. Apart from range, there is a concept exists related to range, which is known as midrange.
Midrange of a data set is nothing but the arithmetic mean of maximum and minimum values given in a data set. In this article, we are going to learn about  problems for finding midrange in math.

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Formula with example problems for finding midrange math problems :


Formula:

In math, the formula for solving the midrange math problems is given below:

Midrange  =   (Maximum value + Minimum value) / 2

Example Problems:

The example problems for finding the midrange of a data set are as follows:

1) Find the midrange of the given data set

{ 4, 5, 9, 13, 12 }

Solution:    Maximum value = 12     Minimum value  =  4

Midrange   =  (Maximum value + Minimum value) / 2

=  (12 + 4) / 2

= 16 / 2

=  8

2) Find the midrange of the given data set

{ 7, 9, 15, 21, 14 }

Solution:    Maximum value = 21     Minimum value  =  7

Midrange   =  (Maximum value + Minimum value) / 2

=  (21 + 7) / 2

= 28 / 2

=  14

3) Find the midrange of the given data set

{ 23, 17, 14, 20, 13, 24 }

Solution:    Maximum value = 24     Minimum value  =  13

Midrange   =  (Maximum value + Minimum value) / 2

=  (24 + 13) / 2

= 37 / 2

=  18.5

4) Find the midrange of the given data set

{ 12, 16, 13, 21, 14, 20 }

Solution:    Maximum value = 21     Minimum value  =  12

Midrange   =  (Maximum value + Minimum value) / 2

=  (21 + 12) / 2

= 33 / 2

=  16.5

5) Find the midrange of the given data set

{ 41, 57, 69, 73, 92 }

Solution:    Maximum value = 92     Minimum value  =  41

Midrange   =  (Maximum value + Minimum value) / 2

=  (92 + 41) / 2

= 133 / 2

=  66.5

6) Find the midrange of the given data set

{ 27, 57, 39, 43, 82 }

Solution:    Maximum value = 82     Minimum value  =  27

Midrange   =  (Maximum value + Minimum value) / 2

=  (82 + 27) / 2

= 109 / 2

=  54.5

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Practice problems for finding mid range maths problems


The practice problems for finding the mid range of a data set are as follows:

1) Find the midrange of the data set  { 12, 45, 56, 11, 38 }

2) Find the midrange of the data set   { 31, 42, 46, 19, 27 }

3) Find the midrange of the data set    { 23, 24, 35, 41, 49 }

4) Find the midrange of the data set   { 20, 21, 32, 45, 48, 52 }

5) Find the midrange of the data set   { 27, 29, 39, 43, 49, 57 }

Answer key:

1) 33.5    2)  32.5    3)  36     4)  36    5)  42