What is the median of 47, 52, 57, 62, 67, 72, 77, 78 ?
- 62
- 67
- 64.5
- 69.5
The Correct Option is C
Solution and Explanation
To solve the problem, we need to find the median of the given data set: 47, 52, 57, 62, 67, 72, 77, 78
1. Understanding the Median:
The median of a data set is the middle value when the data is arranged in ascending order. If there is an even number of values, the median is the average of the two middle values.
2. Arranging the Data:
The data is already in ascending order:
47, 52, 57, 62, 67, 72, 77, 78
3. Count the Number of Terms:
There are 8 terms (even number), so we take the average of the 4th and 5th terms.
4. Identify the Middle Two Terms:
4th term = 62
5th term = 67
5. Calculate the Median:
Median = \( \frac{62 + 67}{2} = \frac{129}{2} = 64.5 \)
Final Answer:
The median is \( 64.5 \)
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