Class 10 Exam  >  Class 10 Questions  >  The median of the data 5, 6, 7, 8, 9, 10 is _... Start Learning for Free
The median of the data 5, 6, 7, 8, 9, 10 is ______.
  • a)
    7
  • b)
    8
  • c)
    7.5
  • d)
    8.5
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The median of the data 5, 6, 7, 8, 9, 10 is ______.a)7b)8c)7.5d)8.5Cor...
Understanding Median
The median is a measure of central tendency that represents the middle value of a dataset when it is arranged in ascending order. Here’s how to find the median for the given data set.
Step 1: Arrange the Data
- The data provided is: 5, 6, 7, 8, 9, 10
- This data is already in ascending order.
Step 2: Identify the Number of Values
- There are 6 values in the dataset.
Step 3: Determine Median Position
- For an even number of observations, the median is calculated by taking the average of the two middle values.
- In this case, the two middle values are the 3rd and 4th values.
Step 4: Find the Middle Values
- The 3rd value is 7.
- The 4th value is 8.
Step 5: Calculate the Median
- To find the median, calculate the average of 7 and 8:
- Median = (7 + 8) / 2 = 15 / 2 = 7.5
Conclusion
- The median of the data set 5, 6, 7, 8, 9, 10 is 7.5.
- Therefore, the correct answer is option 'C'.
This step-by-step approach ensures clarity in understanding how to calculate the median effectively.
Free Test
Community Answer
The median of the data 5, 6, 7, 8, 9, 10 is ______.a)7b)8c)7.5d)8.5Cor...
If the no. of observations is even then the median of the data is the average of (n/2) and (n/2 + 1) observations.
Hence median of the data  observations.

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