Find the median and mean of the data set below:
21
,
40
,
48
,
26
,
32
,
31
21,40,48,26,32,31
To find the median, we first need to put the data in order:
21, 26, 31, 32, 40, 48
There are six numbers in this data set, so the median is the middle number. In this case, the middle numbers are 31 and 32, so we take the average of these two numbers:
Median = (31 + 32)/2 = 31.5
To find the mean (or average), we add up all of the numbers in the data set and divide by the number of numbers:
Mean = (21 + 40 + 48 + 26 + 32 + 31)/6 = 31.33 (rounded to two decimal places).
Therefore, the median is 31.5 and the mean is 31.33 for this data set.
To find the median and mean of a data set, follow these steps:
Step 1: Arrange the numbers in ascending order:
21, 26, 31, 32, 40, 48
Step 2: Find the median:
To find the median, we need to determine the middle number(s) in the data set. Since we have 6 numbers, the median will be the average of the two middle numbers. In this case, the two middle numbers are 31 and 32.
Median = (31 + 32) / 2 = 63 / 2 = 31.5
Step 3: Find the mean:
To find the mean, we add up all the numbers in the data set and divide the sum by the number of data points. In this case, there are 6 data points.
Mean = (21 + 26 + 31 + 32 + 40 + 48) / 6 = 198 / 6 = 33
So, the median of the data set is 31.5 and the mean is 33.