Find the median and mean of the data set below:9, comma, 45, comma, 25, comma, 419,45,25,41
Question
Find the median and mean of the data set below:
9, 45, 25, 419, 45, 25, 41
Solution
Sure, let's find the median and mean of the data set step by step.
Data Set:
9, 45, 25, 41
Step 1: Arrange the Data in Ascending Order
First, we need to arrange the data in ascending order: 9, 25, 41, 45
Step 2: Find the Median
The median is the middle value of a data set when it is ordered. If the number of data points is odd, the median is the middle number. If the number of data points is even, the median is the average of the two middle numbers.
In this case, we have 4 data points (an even number), so the median will be the average of the 2nd and 3rd values in the ordered list.
The 2nd value is 25 and the 3rd value is 41.
Median = (25 + 41) / 2 = 66 / 2 = 33
So, the median is 33.
Step 3: Find the Mean
The mean (or average) is found by adding all the numbers together and then dividing by the number of data points.
Sum of the data points: 9 + 25 + 41 + 45 = 120
Number of data points: 4
Mean = Sum of data points / Number of data points = 120 / 4 = 30
So, the mean is 30.
Summary
- Median: 33
- Mean: 30
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