Question:
The median of the following set of numbers:
154, 130, 144, 137, 156, 146, 138, 149, 160, 138 is:
The median of the following set of numbers:
154, 130, 144, 137, 156, 146, 138, 149, 160, 138 is:
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To calculate the median, arrange the numbers in ascending order and find the average of the two middle numbers when there is an even number of data points.
Updated On: Apr 14, 2025
- 145.0
- 145.2
- 151.0
- 146.0
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The Correct Option is A
Solution and Explanation
Step 1: Arrange the numbers in ascending order
The given numbers are: 154, 130, 144, 137, 156, 146, 138, 149, 160, 138.
When sorted in ascending order, we get:
130, 137, 138, 138, 144, 146, 149, 154, 156, 160
Step 2: Find the middle numbers
There are 10 numbers in the set. Since the number of terms is even, the median is the average of the 5th and 6th numbers in the ordered list.
The 5th number is 144, and the 6th number is 146.
Step 3: Calculate the median
The median is the average of the 5th and 6th numbers:
Median = (144 + 146) / 2 = 290 / 2 = 145.0
Thus, the median is 145.0.
The given numbers are: 154, 130, 144, 137, 156, 146, 138, 149, 160, 138.
When sorted in ascending order, we get:
130, 137, 138, 138, 144, 146, 149, 154, 156, 160
Step 2: Find the middle numbers
There are 10 numbers in the set. Since the number of terms is even, the median is the average of the 5th and 6th numbers in the ordered list.
The 5th number is 144, and the 6th number is 146.
Step 3: Calculate the median
The median is the average of the 5th and 6th numbers:
Median = (144 + 146) / 2 = 290 / 2 = 145.0
Thus, the median is 145.0.
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