📚 Quick Study Guide
🔍 Definition: The median is the middle value in a dataset that is ordered from least to greatest.
🔢 Odd Number of Values: If there is an odd number of values, the median is simply the middle number.
✏️ Even Number of Values: If there is an even number of values, the median is the average of the two middle numbers.
📊 Steps to Find the Median:
- 📝 Order the data from least to greatest.
- ➕ Identify the middle number (odd number of values) or the two middle numbers (even number of values).
- ➗ If there are two middle numbers, add them together and divide by 2 to find the average.
💡 Formula for Even Number of Values: Median = $\frac{x + y}{2}$, where $x$ and $y$ are the two middle numbers.
📈 Importance: The median is useful because it is not affected by extreme values (outliers) in the dataset, unlike the mean.
Practice Quiz
1. What is the median of the following data set: 2, 5, 8, 11, 15?
A. 5
B. 8
C. 11
D. 15
2. Find the median of the following data set: 1, 3, 5, 7, 9, 11.
A. 5
B. 6
C. 7
D. 8
3. What is the median of the following data set: 10, 12, 15, 18, 20, 22, 25?
A. 15
B. 18
C. 20
D. 22
4. Find the median of the following data set: 4, 6, 8, 10.
A. 6
B. 7
C. 8
D. 9
5. What is the median of the following data set: 23, 25, 27, 29, 31?
A. 23
B. 25
C. 27
D. 29
6. Find the median of the following data set: 100, 102, 104, 106, 108, 110.
A. 103
B. 104
C. 105
D. 106
7. What is the median of the following data set: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10?
A. 4
B. 5
C. 5.5
D. 6
Click to see Answers
- B
- B
- B
- B
- C
- C
- C