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If the median of the following data is 40 then the value of p is –
- a)7
- b)8
- c)9
- d)7.6
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
If the median of the following data is 40 then the value of p is &ndas...
Given that the median of the data is 40, we can determine the value of p as follows:
Step 1: Identify the Cumulative Frequency
Step 2: Determine the Median Class
The median is given as 40, which lies in the class interval 30-60. Thus, the median class is 30-60.
Step 3: Apply the Median Formula
The formula for the median of grouped data is:
Median = L + ( (N/2 - F) / f ) * h
- L = Lower limit of the median class = 30
- N = Total frequency = 5 + 15 + 30 + p + 2 = 52 + p
- F = Cumulative frequency of the class before the median class = 20
- f = Frequency of the median class = 30
- h = Class width = 30 (for class 30-60)
Step 4: Substitute Values into the Formula
Given that the median is 40:
40 = 30 + ( (52 + p) / 2 - 20) / 30 ) * 30
Step 5: Simplify the Equation
- Calculate (52 + p) / 2: (52 + p) / 2 = 26 + p / 2
- Substitute into the equation: 40 = 30 + ( (26 + p / 2 - 20) / 30 ) * 30
- Simplify inside the parentheses: 40 = 30 + (6 + p / 2)
- Subtract 30 from both sides: 10 = 6 + p / 2
- Subtract 6 from both sides: 4 = p / 2
- Multiply both sides by 2: p = 8
Conclusion
The value of p is: 8
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If the median of the following data is 40 then the value of p is &ndas...
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If the median of the following data is 40 then the value of p is &ndas...
Yeah option b is rgt..
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If the median of the following data is 40 then the value of p is –a)7b)8c)9d)7.6Correct answer is option 'B'. Can you explain this answer? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about If the median of the following data is 40 then the value of p is –a)7b)8c)9d)7.6Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the median of the following data is 40 then the value of p is –a)7b)8c)9d)7.6Correct answer is option 'B'. Can you explain this answer?.
If the median of the following data is 40 then the value of p is –a)7b)8c)9d)7.6Correct answer is option 'B'. Can you explain this answer? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about If the median of the following data is 40 then the value of p is –a)7b)8c)9d)7.6Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the median of the following data is 40 then the value of p is –a)7b)8c)9d)7.6Correct answer is option 'B'. Can you explain this answer?.
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