Mode Math Example 4

Follow the full solution, then compare it with the other examples linked below.

Example 4

medium
The data set {3,5,5,7,8,x}\{3, 5, 5, 7, 8, x\} has mean 5.55.5 and mode 55. Find xx.

Solution

  1. 1
    A mean of 5.55.5 for 66 values gives a total of 6×5.5=336 \times 5.5 = 33.
  2. 2
    The known values add to 3+5+5+7+8=283 + 5 + 5 + 7 + 8 = 28.
  3. 3
    So x=33−28=5x = 33 - 28 = 5. Then 55 appears three times, making it the mode.

Answer

x=5x = 5
Using the mean gives the missing value, and then the frequency check confirms the mode. This connects two measures of central tendency in one problem.

About Mode

The mode is the value or values that appear most frequently in a data set — it is the most common or most popular data value.

Learn more about Mode →

More Mode Examples

Example 1 easy

Find the mode of [formula].

Example 2 medium

Find the mode of [formula].

Example 3 easy

Find the mode of [formula].

← All Mode Examples Mode Concept

Related Concepts

MeanMedianFrequency