Range Math Term

Introduction to Range Math Term:

In math term range is a difference between the maximum and minimum value in the set of numbers or elements. In math term, group of numbers or elements is called set. A set can have finite number of elements. There are two steps to find the range the range of set of numbers.

Step 1: Arrange the numbers in ascending order by size.

Step 2: Subtract minimum value by maximum value.

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Range Math Term - Examples


Example 1: Find the range of set of numbers: {18, 28, 30, 49, 54, 62, 31, 32, 59, 25}

Solution:

Arrange the set of numbers in ascending order

{18, 25, 28, 30, 31, 32, 49, 54, 59, 62}

Range = Maximum value – Minimum value

= 62 – 18 = 44

Therefore range of set of numbers is 44.

Example 2: Find the range of set of numbers: {36, 42, 47, 55, 21, 52, 122, 156, 260, 140}

Solution:

Arrange the set of numbers in ascending order

{21, 36, 42, 47, 52, 55, 122, 140, 156, 260}

Range = Maximum value – Minimum value

= 260 – 21 = 239

Therefore range is 239.

Example 3: Ten student’s weight is as follows {35, 45, 85, 74, 96, 46, 73, 60, 55, 60}. Find the range.

Solution:

Arrange the set of numbers in ascending order

{35, 45, 46, 55, 60, 60, 73, 74, 85, 96}

Range = Maximum value – Minimum value

= 96 – 35 = 61

Therefore range of ten student’s height is 61.

Example 4: Ten student’s heights as follows {133, 120, 160, 170, 170, 140, 165, 142, 135, 158}.  Find the range of set of numbers:

Solution:

Arrange the set of numbers in ascending order

{120, 133, 135, 140, 142, 158, 160, 165, 170, 170}

Range = Maximum value – Minimum value

= 170 – 120 = 50

Therefore range of ten student’s height is 50.

Example 5: Find the range of set of numbers: {7.52, 5.25, 3.65, 9.47, 8.52, 9.60, 6.29, 3.20, 5.68, 2.34}

Solution:

Arrange the set of numbers in ascending order

{2.34, 3.2, 3.65, 5.25, 5.68, 6.29, 7.52, 8.52, 9.47, 9.6}

Range = Maximum value – Minimum value

= 9.6 – 2.34 = 7.26

Therefore range of set of numbers is 7.26.

Example 6: Twelve students’ marks in math as follows {35, 43, 98, 99, 73, 81, 65, 95, 37, 42, 46, 57}. Find the range of set of numbers:

Solution:

Arrange the set of numbers in ascending order

{35, 37, 42, 43, 46, 57, 65, 73, 81, 95, 98, 99}

Range = Maximum value – Minimum value

= 99 – 35 = 64

Therefore range of set of numbers is 64. Having problem with Find the Median keep reading my upcoming posts, i will try to help you.


Range Math Term - Practice


Problem 1: Ten students’ marks in math as follows {31, 53, 75, 49, 77, 46, 59, 74, 99, 25}

Find the range of marks.

Answer: 74

Problem 2: Find the range of set of numbers: {27, 27, 25, 27, 22, 52, 24, 40, 25, 92}

Answer: 70

Problem 3: Find the range of set of numbers: {1.45, 2.27, 6.25, 2.47, 6.52, 21.6, 12.9, 31.3, 25.87, 2.04}

Answer: 29.85