Question:
If a data set has values 4, 8, 6, 5, and 7, what is the median of the data set?
If a data set has values 4, 8, 6, 5, and 7, what is the median of the data set?
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The most common mistake when finding the median is forgetting to sort the data first. Always arrange the numbers from smallest to largest before identifying the middle value.
Updated On: Oct 4, 2025
- 5
- 6
- 7
- 8
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The Correct Option is B
Solution and Explanation
Step 1: Understanding the Concept:
The median is the middle value in a data set that has been arranged in numerical order.
Step 2: Detailed Explanation:
Step 2a: Order the data set.
The given data set is \{4, 8, 6, 5, 7\}.
Arranging the numbers in ascending order:
\[ 4, 5, 6, 7, 8 \] Step 2b: Identify the middle value.
The data set has 5 values, which is an odd number. For an odd number of values, the median is the single value in the middle.
The ordered list is 4, 5, 6, 7, 8.
The middle number is 6.
Step 3: Final Answer:
The median of the data set is 6.
The median is the middle value in a data set that has been arranged in numerical order.
Step 2: Detailed Explanation:
Step 2a: Order the data set.
The given data set is \{4, 8, 6, 5, 7\}.
Arranging the numbers in ascending order:
\[ 4, 5, 6, 7, 8 \] Step 2b: Identify the middle value.
The data set has 5 values, which is an odd number. For an odd number of values, the median is the single value in the middle.
The ordered list is 4, 5, 6, 7, 8.
The middle number is 6.
Step 3: Final Answer:
The median of the data set is 6.
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