Find the median and mean of the data set below:28, comma, 7, comma, 14, comma, 27, comma, 34, comma, 38, comma, 3428,7,14,27,34,38,34
Question
Find the median and mean of the data set below:
28, 7, 14, 27, 34, 38, 34, 28, 7, 14, 27, 34, 38, 34
Solution
Sure, let's calculate the median and mean of the given data set: 28, 7, 14, 27, 34, 38, 34.
Step 1: Arrange the data in ascending order: 7, 14, 27, 28, 34, 34, 38.
Step 2: Find the median. The median is the middle number in a sorted list of numbers. In this case, our sorted list has 7 numbers, so the median is the 4th number, which is 28.
Step 3: Find the mean. The mean is the sum of all numbers divided by the count of numbers. So, add all the numbers together: 7 + 14 + 27 + 28 + 34 + 34 + 38 = 182. Then divide by the count of numbers, which is 7. So, 182 ÷ 7 = 26.
So, the median of the data set is 28 and the mean is 26.
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