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