By how much is the mean of 30, 56, 31, 55, 43 and 44 less than the median?

  • A 0.75
  • B 0.50
  • C 0.33
  • D 0.17

The correct answer is C. 0.33

To find the mean and median of the given set of numbers: 30, 56, 31, 55, 43, 44

Step 1: Arrange the numbers in ascending order:

30, 31, 43, 44, 55, 56

Step 2: Calculate the median:

Since there are 6 numbers, the median is the average of the 3rd and 4th numbers:

Median = (43 + 44) / 2 = 87 / 2 = 43.5

Step 3: Calculate the mean (average):

Mean = (30 + 56 + 31 + 55 + 43 + 44) / 6 = 259 / 6 ≈ 43.167

Now, find the difference between the mean and the median:

Difference = Mean - Median

Difference ≈ 43.167 - 43.5 ≈ -0.333

Rounded to two decimal places, the difference is approximately -0.33.

Note, the answer is in negative form to indicate that the mean is indeed lesser than the median

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