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A grouped frequency distribution table with classes of equal sizes using 63 — 72 (72 included) as
one of the class is constructed for the following data: 
30,32,45,54,74,78,108,112,66, 76,88,
40,14, 20,15,35,44,66,75,84,95,96,
102,110,88,74,112,14,34,44
The number of classes in the distribution will be: 
  • a)
    9
  • b)
    10
  • c)
    11
  • d)
    12
Correct answer is option 'A'. Can you explain this answer?
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Understanding the Problem
To determine the number of classes in a grouped frequency distribution table, we first need to analyze the given data and the range of classes.
Step 1: Identify the Range of the Data
- The data provided is: 30, 32, 45, 54, 74, 78, 108, 112, 66, 76, 88, 40, 14, 20, 15, 35, 44, 66, 75, 84, 95, 96, 102, 110, 88, 74, 112, 14, 34, 44.
- Minimum value (lowest number): 14
- Maximum value (highest number): 112
Step 2: Calculate the Range
- The range can be calculated as: Maximum - Minimum = 112 - 14 = 98.
Step 3: Determine Class Width
- The problem states that one of the classes is 63-72 (where 72 is included). This indicates a class width of 10 (from 63 to 72).
Step 4: Calculate the Number of Classes
- The number of classes (k) can be calculated using the formula:
Number of classes = Range / Class width.
- Substituting the values:
k = 98 / 10 = 9.8.
Since the number of classes must be a whole number, we round it up to get 9 classes.
Conclusion
Thus, the number of classes in the distribution is 9. This aligns with option 'A'.
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A grouped frequency distribution table with classes of equal sizes using 63 — 72 (72 included) asone of the class is constructed for the following data:30,32,45,54,74,78,108,112,66, 76,88,40,14, 20,15,35,44,66,75,84,95,96,102,110,88,74,112,14,34,44The number of classes in the distribution will be:a)9b)10c)11d)12Correct answer is option 'A'. Can you explain this answer?
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A grouped frequency distribution table with classes of equal sizes using 63 — 72 (72 included) asone of the class is constructed for the following data:30,32,45,54,74,78,108,112,66, 76,88,40,14, 20,15,35,44,66,75,84,95,96,102,110,88,74,112,14,34,44The number of classes in the distribution will be:a)9b)10c)11d)12Correct answer is option 'A'. Can you explain this answer? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about A grouped frequency distribution table with classes of equal sizes using 63 — 72 (72 included) asone of the class is constructed for the following data:30,32,45,54,74,78,108,112,66, 76,88,40,14, 20,15,35,44,66,75,84,95,96,102,110,88,74,112,14,34,44The number of classes in the distribution will be:a)9b)10c)11d)12Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A grouped frequency distribution table with classes of equal sizes using 63 — 72 (72 included) asone of the class is constructed for the following data:30,32,45,54,74,78,108,112,66, 76,88,40,14, 20,15,35,44,66,75,84,95,96,102,110,88,74,112,14,34,44The number of classes in the distribution will be:a)9b)10c)11d)12Correct answer is option 'A'. Can you explain this answer?.
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