Find the median and mean of the data set below:40, comma, 4, comma, 12, comma, 15, comma, 45, comma, 1640,4,12,15,45,16
Question
Find the median and mean of the data set below:40, comma, 4, comma, 12, comma, 15, comma, 45, comma, 1640,4,12,15,45,16
Solution 1
Sure, let's start with the median.
Step 1: Arrange the data in ascending order: 4, 12, 15, 16, 40, 45.
Step 2: Since there are 6 numbers (an even number), the median is the average of the middle two numbers. In this case, the middle two numbers are 15 and 16.
Median = (15 + 16) / 2 = 15.5
Now, let's find the mean.
Step 1: Add up all the numbers: 4 + 12 + 15 + 16 + 40 + 45 = 132
Step 2: Divide the sum by the total number of data points. In this case, there are 6 data points.
Mean = 132 / 6 = 22
So, the median of the data set is 15.5 and the mean is 22.
Solution 2
Sure, let's start with the median.
Step 1: Arrange the data in ascending order: 4, 12, 15, 16, 40, 45.
Step 2: Since there are 6 numbers (an even number), the median is the average of the middle two numbers. In this case, the middle two numbers are 15 and 16.
Median = (15 + 16) / 2 = 15.5
Now, let's find the mean.
Step 1: Add all the numbers together: 4 + 12 + 15 + 16 + 40 + 45 = 132
Step 2: Divide the sum by the total number of data points. In this case, there are 6 data points.
Mean = 132 / 6 = 22
So, the median of the data set is 15.5 and the mean is 22.
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