Range in Math Terms

Introduction to range in math terms:

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


Example 1: Calculate the range of set of numbers: {20, 30, 32, 51, 56, 64, 33, 35, 61, 27}

Solution:

Arrange the set of numbers in ascending order

{20, 27, 30, 32, 33, 35, 51, 56, 61, 63}

Range = Maximum value – Minimum value

= 63 – 20 = 43

Therefore range of set of numbers is 43.

Example 2: Calculate the range of set of numbers: {38, 44, 49, 57, 23, 54, 124, 158, 264, 142}

Solution:

Arrange the set of numbers in ascending order

{23, 38, 44, 49, 54, 57, 124, 142, 158, 264}

Range = Maximum value – Minimum value

= 264 – 23 = 241

Therefore range is 241.

Example 3: Ten student’s weight is as follows {37, 47, 87, 76, 99, 48, 75, 62, 57, 62}. Calculate the range.

Solution:

Arrange the set of numbers in ascending order

{37, 47, 48, 57, 62, 62, 75, 76, 87, 99}

Range = Maximum value – Minimum value

= 99 – 37 = 62

Therefore range of ten student’s height is 62.

Example 4: Ten student’s heights as follows {135, 122, 162, 172, 173, 142, 167, 144, 137, 160}.  Calculate the range of set of numbers:

Solution:

Arrange the set of numbers in ascending order

{122, 135, 137, 142, 144, 160, 162, 167, 172, 173}

Range = Maximum value – Minimum value

= 173 – 122 = 51

Therefore range of ten student’s height is 51.

Example 5: Calculate the range of set of numbers: {9.52, 7.25, 5.65, 10.47, 9.52, 12.60, 8.29, 5.20, 7.68, 4.34}

Solution:

Arrange the set of numbers in ascending order

{4.34, 5.2, 5.65, 7.25, 7.68, 8.29, 9.52, 10.52, 11.47, 12.6}

Range = Maximum value – Minimum value

= 12.6 – 4.34 = 8.26

Therefore range of set of numbers is 8.26.

Example 6: Twelve students’ marks in math as follows {37, 45, 100, 99, 75, 83, 67, 97, 39, 44, 48, 59}. Calculate the range of set of numbers:

Solution:

Arrange the set of numbers in ascending order

{37, 39, 44, 45, 48, 59, 67, 75, 83, 97, 99, 100}

Range = Maximum value – Minimum value

= 100 – 37 = 63

Therefore range of set of numbers is 63.

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Range in Math Terms - Practice


Problem 1: Ten students’ marks in math as follows {33, 55, 77, 51, 79, 48, 61, 76, 99, 27}. Calculate the range of marks.

Answer: 72

Problem 2: Calculate the range of set of numbers: {29, 29, 27, 29, 24, 54, 26, 42, 27, 95}

Answer: 71

Problem 3: Calculate the range of set of numbers: {3.45, 5.27, 8.25, 4.47, 8.52, 23.6, 14.9, 34.3, 27.87, 4.04}

Answer: 30.85