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

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

Here you can learn how to find and calculate the 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

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 \(2\)

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 \(7\).

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 \(9\).

Example 4:

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

Solution:

Range is the difference of the largest value and smallest value
Therefore: range is \(22-4=18\)

Exercises

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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