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The age distribution of 40 children is as follows:
Consider the following statements in respect of the above frequency distribution:
1. The median of the age distribution is 7 years
2. 70% of the children are in the age group 6 – 9 years.
3. The modal age of the children is 8 years.
Q. Which of the above statements are correct?
  • a)
    1 and 2 only
  • b)
    2 and 3 only
  • c)
    1 and 3 only
  • d)
    1, 2 and 3
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The age distribution of 40 children is as follows:Consider the followi...
Total number of children = 40
Half of the total number = 20
20th person will be in the group 7 – 8
Median = L + [(n/2 – cf) /f × h]
⇒ 7 + [(20 – 11) /9 × 1] = 8
⇒ Statement 1 is false
Number of students from 6 – 9 years = 7 + 9 + 12 = 28
⇒ 28 = 70% of 40
⇒ Statement 2 is true
Modal class = 8 – 9
⇒ Mode = L + [(f1 – f0) / (2f1 – f0 – f2) × h]
⇒ 8 + [(12 – 9) / (24 – 9 – 6) × 1]
⇒ 8 + 3/9 = 8.33 that is same as 8 years
⇒ Statement 3 is true
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The age distribution of 40 children is as follows:Consider the following statements in respect of the above frequency distribution:1. The median of the age distribution is 7 years2. 70% of the children are in the age group 6 – 9 years.3. The modal age of the children is 8 years.Q. Which of the above statements are correct?a)1 and 2 onlyb)2 and 3 onlyc)1 and 3 onlyd)1, 2 and 3Correct answer is option 'B'. Can you explain this answer?
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The age distribution of 40 children is as follows:Consider the following statements in respect of the above frequency distribution:1. The median of the age distribution is 7 years2. 70% of the children are in the age group 6 – 9 years.3. The modal age of the children is 8 years.Q. Which of the above statements are correct?a)1 and 2 onlyb)2 and 3 onlyc)1 and 3 onlyd)1, 2 and 3Correct answer is option 'B'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about The age distribution of 40 children is as follows:Consider the following statements in respect of the above frequency distribution:1. The median of the age distribution is 7 years2. 70% of the children are in the age group 6 – 9 years.3. The modal age of the children is 8 years.Q. Which of the above statements are correct?a)1 and 2 onlyb)2 and 3 onlyc)1 and 3 onlyd)1, 2 and 3Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The age distribution of 40 children is as follows:Consider the following statements in respect of the above frequency distribution:1. The median of the age distribution is 7 years2. 70% of the children are in the age group 6 – 9 years.3. The modal age of the children is 8 years.Q. Which of the above statements are correct?a)1 and 2 onlyb)2 and 3 onlyc)1 and 3 onlyd)1, 2 and 3Correct answer is option 'B'. Can you explain this answer?.
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