- Mean, Median, and Mode
- Home
- Mode of a Data Set
- Finding the Mode and Range of a Data Set
- Finding the Mode and Range from a Line Plot
- Mean of a Data Set
- Understanding the Mean Graphically: Two bars
- Understanding the Mean Graphically: Four or more bars
- Finding the Mean of a Symmetric Distribution
- Computations Involving the Mean, Sample Size, and Sum of a Data Set
- Finding the Value for a New Score that will yield a Given Mean
- Mean and Median of a Data Set
- How Changing a Value Affects the Mean and Median
- Finding Outliers in a Data Set
- Choosing the Best Measure to Describe Data
Mean and Median of a Data Set
The median of data set is found as follows. The numbers of the data set are arranged in an increasing (or decreasing) order. We look for the middle number in the data set and it is the median of the data set. If the number data are odd, there will be one middle number which will be the median. If the number of data are even, there will be two middle numbers and the average of these numbers gives the median of the data set.
Find the mean and median of the following data set.
70, 68, 56, 62, 56, 66, 56
Solution
Step 1:
Mean of the data = $\frac{(70 + 68 + 56 + 62 + 56 + 66 + 56)}{7}$ = 62
Step 2:
Data set in increasing order − 56, 56, 56, 62, 66, 68, 70.
Middle score is 62
Median of data set = 62
Find the mean and median of the given data set.
94, 79, 81, 79, 87
Solution
Step 1:
Mean of the data = $\frac{(94 + 79 + 81 + 79 + 87)}{5}$ = 84
Step 2:
Data set in increasing order − 79, 79, 81, 87, 94
Middle score is 81
Median of data set = 81