Mean, Median, and Mode
Selected Reading
- Choosing the Best Measure to Describe Data
- Finding Outliers in a Data Set
- How Changing a Value Affects the Mean and Median
- Mean and Median of a Data Set
- Finding the Value for a New Score that will yield a Given Mean
- Computations Involving the Mean, Sample Size, and Sum of a Data Set
- Finding the Mean of a Symmetric Distribution
- Understanding the Mean Graphically: Four or more bars
- Understanding the Mean Graphically: Two bars
- Mean of a Data Set
- Finding the Mode and Range from a Line Plot
- Finding the Mode and Range of a Data Set
- Mode of a Data Set
- Home
Selected Reading
- Who is Who
- Computer Glossary
- HR Interview Questions
- Effective Resume Writing
- Questions and Answers
- UPSC IAS Exams Notes
How Changing a Value Affects the Mean and Median
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