Question

what is the difference between the mean and the median of the data set?
{22, 8, 10,18,12, 20}
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Explanation:

Step1: Calculate the mean

First, find the sum of the data set. The data set is {22, 8, 10, 18, 12, 20}. The sum is \(22 + 8 + 10 + 18 + 12 + 20 = 90\). There are 6 data points, so the mean is \(\frac{90}{6}=15\).

Step2: Calculate the median

First, sort the data set in ascending order: {8, 10, 12, 18, 20, 22}. Since there are 6 (an even number) data points, the median is the average of the middle two numbers, which are the 3rd and 4th numbers. The 3rd number is 12 and the 4th number is 18. So the median is \(\frac{12 + 18}{2}=\frac{30}{2}=15\).

Step3: Find the difference

Subtract the median from the mean (or vice versa, since they are equal). \(15 - 15 = 0\).

Answer:

0