Find the median and mean of the data set below:37, comma, 27, comma, 1, comma, 31, comma, 27, comma, 40, comma, 4737,27,1,31,27,40,47
Question
Find the median and mean of the data set below:37, comma, 27, comma, 1, comma, 31, comma, 27, comma, 40, comma, 4737,27,1,31,27,40,47
Solution
Sure, let's start with the mean first:
Step 1: Add all the numbers together. 37 + 27 + 1 + 31 + 27 + 40 + 47 = 210
Step 2: Divide the sum by the total number of data points. 210 ÷ 7 = 30
So, the mean (average) of the data set is 30.
Now, let's find the median:
Step 1: Arrange the data in ascending order. 1, 27, 27, 31, 37, 40, 47
Step 2: Find the middle number. If there is an even number of data points, the median is the average of the two middle numbers. If there is an odd number of data points, like in this case, the median is simply the middle number.
In this case, the middle number is 31.
So, the median of the data set is 31.
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