Find the median and mean of the data set below:
38,45,12,27,21,43
To find the median, we must first order the data set from smallest to largest:
12,21,27,38,43,45
The median is the middle number. In this case, the middle numbers are 27 and 38. To find the median, we take the average of these two numbers:
median = (27+38)/2 = 32.5
To find the mean, we add up all the numbers and divide by the total number of numbers:
mean = (38+45+12+27+21+43)/6 = 31.5
Therefore, the median is 32.5 and the mean is 31.5.
To find the median and mean of the given data set, follow these steps:
Step 1: Arrange the data set in ascending order:
12, 21, 27, 38, 43, 45
Step 2: Calculate the median:
Since the data set contains 6 numbers, the median is the average of the 3rd and 4th numbers.
The 3rd number is 27, and the 4th number is 38.
So, the median is (27 + 38) / 2 = 65 / 2 = 32.5.
Step 3: Calculate the mean:
The mean (average) is found by summing all the numbers in the data set and then dividing by the total number of values.
Sum of the numbers = 12 + 21 + 27 + 38 + 43 + 45 = 186.
Total number of values = 6.
Mean = Sum of the numbers / Total number of values = 186 / 6 = 31.
Therefore, the median of the data set is 32.5, and the mean is 31.