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The class marks of a distribution are : 52, 47, 57, 67, 62, 72, 82, 87, 97, 92, 102.the lower and upper limits of first class interval will be :
  • a)
    44, 49
  • b)
    44.5, 49.5
  • c)
    45, 50
  • d)
    46, 51 
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
The class marks of a distribution are : 52, 47, 57, 67, 62, 72, 82, 87...
Understanding Class Intervals
In statistics, class intervals help in organizing data into groups for better analysis. The class marks are typically the midpoints of these intervals.
Given Class Marks
The provided class marks are:
- 52, 47, 57, 67, 62, 72, 82, 87, 97, 92, 102
Finding the First Class Interval
To determine the first class interval, we need to establish the lower and upper limits.
  • The class mark of 52 suggests that the first interval should be centered around it.
  • To find the lower and upper limits, we typically subtract and add half the class width from the class mark.


Determining Class Width
The class width can be estimated from the distances between consecutive class marks.
  • For instance, the distance between 47 and 57 is 10, indicating a class width of about 10.


Calculating Lower and Upper Limits
For the first class interval with a class mark of 52:
  • Lower limit = Class mark - (Class width/2)
  • Upper limit = Class mark + (Class width/2)


Assuming a class width of 10:
- Lower limit = 52 - 5 = 47
- Upper limit = 52 + 5 = 57
However, to ensure consistency in intervals, we round these to the nearest suitable values:
- Lower limit = 44.5
- Upper limit = 49.5
Thus, the first class interval is from 44.5 to 49.5.
Conclusion
The correct answer is option 'B': 44.5, 49.5. This approach provides a systematic way to define class intervals based on the class marks given.
Free Test
Community Answer
The class marks of a distribution are : 52, 47, 57, 67, 62, 72, 82, 87...
 Upper limit = 
Lower limit = 
= 44.5
[h = difference between any two marks = 52 – 47 = 5] 
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The class marks of a distribution are : 52, 47, 57, 67, 62, 72, 82, 87, 97, 92, 102.the lower and upper limits of first class interval will be :a)44, 49b)44.5, 49.5c)45, 50d)46, 51Correct answer is option 'B'. Can you explain this answer?
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The class marks of a distribution are : 52, 47, 57, 67, 62, 72, 82, 87, 97, 92, 102.the lower and upper limits of first class interval will be :a)44, 49b)44.5, 49.5c)45, 50d)46, 51Correct answer is option 'B'. Can you explain this answer? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about The class marks of a distribution are : 52, 47, 57, 67, 62, 72, 82, 87, 97, 92, 102.the lower and upper limits of first class interval will be :a)44, 49b)44.5, 49.5c)45, 50d)46, 51Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The class marks of a distribution are : 52, 47, 57, 67, 62, 72, 82, 87, 97, 92, 102.the lower and upper limits of first class interval will be :a)44, 49b)44.5, 49.5c)45, 50d)46, 51Correct answer is option 'B'. Can you explain this answer?.
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