Find the median and mean of the data set below:47, comma, 27, comma, 9, comma, 15, comma, 15, comma, 1947,27,9,15,15,19
Question
Find the median and mean of the data set below:
47, 27, 9, 15, 15, 19
Solution
Sure, let's find the median and mean of the data set step by step.
Data Set:
47, 27, 9, 15, 15, 19
Step 1: Arrange the Data in Ascending Order
First, we need to arrange the data in ascending order: 9, 15, 15, 19, 27, 47
Step 2: Find the Median
The median is the middle value of a data set. If the data set has an odd number of observations, the median is the middle number. If the data set has an even number of observations, the median is the average of the two middle numbers.
In this case, we have 6 numbers (an even number), so the median will be the average of the 3rd and 4th numbers in the ordered list.
The 3rd number is 15 and the 4th number is 19.
Median = (15 + 19) / 2 = 34 / 2 = 17
So, the median is 17.
Step 3: Find the Mean
The mean (or average) is found by adding all the numbers together and then dividing by the number of observations.
Sum of the numbers = 9 + 15 + 15 + 19 + 27 + 47 = 132
Number of observations = 6
Mean = Sum of the numbers / Number of observations = 132 / 6 = 22
So, the mean is 22.
Summary
- Median: 17
- Mean: 22
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