How to Find Mean, Median, Mode, and Range of the Given Data? (+FREE Worksheet!)

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Step by step guide to Find Mean, Median, Mode, and Range of the Given Data

• Mean: \(\frac{sum \ of \ the \ data}{total \ number \ of \ data \ entires}\)
• Mode: value in the list that appears most often
• Median: the middle value of the numbers.
• Range: the difference of the largest value and smallest value in the list

Mean (Average)

Mode

Median

Range

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Mean, Median, Mode, and Range of the Given Data – Example 1:

What is the mode of these numbers? \(18,12,8,5,3,2,0,2\)

Solution:

Mode: value in the list that appears most often.
Therefore: mode is \(2\)

Mean, Median, Mode, and Range of the Given Data – Example 2:

What is the median of these numbers? \(2,7,11,6,13,16,3\)

Solution:

Write the numbers in order: \(2,3,6,7,11,13,16\)
The Median is the number in the middle. Therefore, the median is \(7\).

Mean, Median, Mode, and Range of the Given Data – Example 3:

What is the median of these numbers? \(4,9,13,8,15,18,5\)

Solution:

Write the numbers in order: \(4,5,8,9,13,15,18\)
The Median is the number in the middle. Therefore, the median is \(9\).

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Mean, Median, Mode, and Range of the Given Data – Example 4:

What is the range of these numbers? \(22,16,12,9,7,6,4,6\)

Solution:

The range is the difference between the largest value and the smallest value.
Therefore: range is \(22-4=18\)

Exercises for Finding Mean, Median, Mode, and Range of the Given Data

Mean (Average)

Mode

Median

Range

Find Mean, Median, Mode, and Range of the Given Data.

1. \(\color{blue}{7, 2, 5, 1, 1, 2}\)
2. \(\color{blue}{2, 2, 2, 3, 6, 3, 7, 4 }\)
3. \(\color{blue}{9, 4, 3, 1, 7, 9, 4, 6, 4 }\)
4. \(\color{blue}{8, 4, 2, 4, 3, 2, 4, 5}\)
5. \(\color{blue}{8, 5, 7, 5, 7, 9, 8}\)
6. \(\color{blue}{5, 1, 4, 4, 9, 2, 9, 2, 5, 1}\)

Download Mode and Range Worksheet

1. \(\color{blue}{mean: 3, \ median: 2, \ mode: 1, 2, \ range: 6}\)
2. \(\color{blue}{mean: 3.625, \ median: 3, \ mode: 2, \ range: 5}\)
3. \(\color{blue}{mean: 5.22, \ median: 4, \ mode: 4, \ range: 8}\)
4. \(\color{blue}{mean: 4, \ median: 4, \ mode: 4, \ range: 6}\)
5. \(\color{blue}{mean: 7, \ median: 7, \ mode: 5, 7, 8, \ range: 4}\)
6. \(\color{blue}{mean: 4.2, \ median: 4, \ mode: 1,2,4,5,9, \ range: 8}\)

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