How to Find Mean, Median, Mode, and Range of the Given Data? (+FREE Worksheet!)
Here you can learn how to find and calculate the Mean, Median, Mode, and Range of the Given Data. For education statistics and research National Center for Education Statistics.
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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
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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
Find Mean, Median, Mode, and Range of the Given Data.
- \(\color{blue}{7, 2, 5, 1, 1, 2}\)
- \(\color{blue}{2, 2, 2, 3, 6, 3, 7, 4 }\)
- \(\color{blue}{9, 4, 3, 1, 7, 9, 4, 6, 4 }\)
- \(\color{blue}{8, 4, 2, 4, 3, 2, 4, 5}\)
- \(\color{blue}{8, 5, 7, 5, 7, 9, 8}\)
- \(\color{blue}{5, 1, 4, 4, 9, 2, 9, 2, 5, 1}\)
Download Mode and Range Worksheet
- \(\color{blue}{mean: 3, \ median: 2, \ mode: 1, 2, \ range: 6}\)
- \(\color{blue}{mean: 3.625, \ median: 3, \ mode: 2, \ range: 5}\)
- \(\color{blue}{mean: 5.22, \ median: 4, \ mode: 4, \ range: 8}\)
- \(\color{blue}{mean: 4, \ median: 4, \ mode: 4, \ range: 6}\)
- \(\color{blue}{mean: 7, \ median: 7, \ mode: 5, 7, 8, \ range: 4}\)
- \(\color{blue}{mean: 4.2, \ median: 4, \ mode: 1,2,4,5,9, \ range: 8}\)
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