- 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
How Changing a Value Affects the Mean and Median
In this lesson we are given a data set. We find it’s mean and median. Then one of its data is changed. We then find the changed mean and changed median after one of the data has been changed.
Find new mean and new median of the data set if a data is changed.
12, 15, 18, 13, 6, 14; 13 is changed to 5
Solution
Step 1:
Mean = $\frac{(12 + 15 + 18 + 13 + 6 + 14)}{6}$ = 13; Median = 13.5
Step 2:
With data change
New Mean = $\frac{(12 + 15 + 18 + 5 + 6 + 14)}{6}$ = 11.67; New Median = 13
Find new mean and new median of the data set if a data is changed.
18, 15, 11, 3, 8, 4, 13, 12, 3; 15 is changed to 18
Solution
Step 1:
Mean = $\frac{(18 + 15 + 11 + 3 + 8 + 4 + 13 + 12 +3)}{9}$ = 9.67; Median = 11
Step 2:
With data change
New Mean = $\frac{(18 + 18 + 11 + 3 + 8 + 4 + 13 + 12 +3)}{9}$ = 10 ; New Median = 11