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The median of distribution 9, 3, 4, 7, 5, 1, 8 is:
  • a)
    4
  • b)
    5
  • c)
    1
  • d)
    9
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The median of distribution 9, 3, 4, 7, 5, 1, 8 is:a)4b)5c)1d)9Correct ...
Arranging the terms in ascending order 1, 3, 4, 5, 7, 8, 9
The median is the middle observation.
Therefore 5 is the median.
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Most Upvoted Answer
The median of distribution 9, 3, 4, 7, 5, 1, 8 is:a)4b)5c)1d)9Correct ...
Understanding the Median
The median is the middle value of a dataset when it is arranged in ascending order. If the dataset has an odd number of observations, the median is the value located at the center of the ordered list.
Step 1: Arrange the Data
First, we need to sort the given numbers:
- Original dataset: 9, 3, 4, 7, 5, 1, 8
- Sorted dataset: 1, 3, 4, 5, 7, 8, 9
Step 2: Identify the Median
Now, we can find the median:
- The sorted dataset has 7 numbers (an odd count).
- The median is the value at the (n + 1)/2 position, where n is the number of observations.
- For our dataset: (7 + 1)/2 = 4. This means the median is the 4th number in the sorted list.
Step 3: Locate the 4th Number
Looking at the sorted dataset:
- 1st: 1
- 2nd: 3
- 3rd: 4
- 4th: 5
The 4th number is 5.
Conclusion
Thus, the median of the distribution 9, 3, 4, 7, 5, 1, 8 is 5, confirming that the correct answer is option 'B'.
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The median of distribution 9, 3, 4, 7, 5, 1, 8 is:a)4b)5c)1d)9Correct answer is option 'B'. Can you explain this answer?
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