Commerce Exam > Commerce Questions > Find the median of the data set: 6, 3, 8, 2, ...
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Find the median of the data set: 6, 3, 8, 2, 9, 1?
- a)4.5
- b)3
- c)6
- d)5
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Find the median of the data set: 6, 3, 8, 2, 9, 1?a)4.5b)3c)6d)5Correc...
Understanding the Median
The median is the middle value of a data set when it is organized in ascending order. If the number of observations is odd, the median is the middle number. If it is even, the median is the average of the two middle numbers.
Step 1: Organize the Data
First, we need to arrange the given data set in ascending order:
- Original data: 6, 3, 8, 2, 9, 1
- Sorted data: 1, 2, 3, 6, 8, 9
Step 2: Identify the Number of Observations
Count the total number of values in the sorted list:
- There are 6 values (an even number).
Step 3: Find the Middle Values
Since the number of observations is even, the median will be the average of the two middle numbers.
- The middle numbers in our sorted data set are the 3rd and 4th values: 3 and 6.
Step 4: Calculate the Median
To find the median, we calculate the average of these two middle values:
- (3 + 6) / 2 = 9 / 2 = 4.5.
Conclusion
Thus, the median of the data set 6, 3, 8, 2, 9, 1 is 4.5, confirming that the correct answer is option 'A'.
The median is the middle value of a data set when it is organized in ascending order. If the number of observations is odd, the median is the middle number. If it is even, the median is the average of the two middle numbers.
Step 1: Organize the Data
First, we need to arrange the given data set in ascending order:
- Original data: 6, 3, 8, 2, 9, 1
- Sorted data: 1, 2, 3, 6, 8, 9
Step 2: Identify the Number of Observations
Count the total number of values in the sorted list:
- There are 6 values (an even number).
Step 3: Find the Middle Values
Since the number of observations is even, the median will be the average of the two middle numbers.
- The middle numbers in our sorted data set are the 3rd and 4th values: 3 and 6.
Step 4: Calculate the Median
To find the median, we calculate the average of these two middle values:
- (3 + 6) / 2 = 9 / 2 = 4.5.
Conclusion
Thus, the median of the data set 6, 3, 8, 2, 9, 1 is 4.5, confirming that the correct answer is option 'A'.
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Community Answer
Find the median of the data set: 6, 3, 8, 2, 9, 1?a)4.5b)3c)6d)5Correc...
Concept:
Median
Case 1: If number of observation (n) is even
Case 2: If number of observation (n) is odd
Median
Case 1: If number of observation (n) is even
Case 2: If number of observation (n) is odd
Calculation:
Arrange the observations in the ascending order are
1, 2, 3, 6, 8, 9
Here, n = 6 = even.
So, 3rd and 4th observation are 3 and 6
Arrange the observations in the ascending order are
1, 2, 3, 6, 8, 9
Here, n = 6 = even.
So, 3rd and 4th observation are 3 and 6
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Find the median of the data set: 6, 3, 8, 2, 9, 1?a)4.5b)3c)6d)5Correct answer is option 'A'. Can you explain this answer? for Commerce 2025 is part of Commerce preparation. The Question and answers have been prepared according to the Commerce exam syllabus. Information about Find the median of the data set: 6, 3, 8, 2, 9, 1?a)4.5b)3c)6d)5Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Commerce 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the median of the data set: 6, 3, 8, 2, 9, 1?a)4.5b)3c)6d)5Correct answer is option 'A'. Can you explain this answer?.
Find the median of the data set: 6, 3, 8, 2, 9, 1?a)4.5b)3c)6d)5Correct answer is option 'A'. Can you explain this answer? for Commerce 2025 is part of Commerce preparation. The Question and answers have been prepared according to the Commerce exam syllabus. Information about Find the median of the data set: 6, 3, 8, 2, 9, 1?a)4.5b)3c)6d)5Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Commerce 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the median of the data set: 6, 3, 8, 2, 9, 1?a)4.5b)3c)6d)5Correct answer is option 'A'. Can you explain this answer?.
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