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CBSE Class 10 Maths (Standard) 2024 · Paper 30(B) · Question 36

Statistics 4 marks Hard
Student-teacher ratio expresses the relationship between the number of students enrolled in a school and the number of teachers employed by the school. This ratio is important for a number of reasons. It can be used as a tool to measure teachers' workload as well as the allocation of resources. A survey was conducted in 100 secondary schools of a state and the following frequency distribution table was prepared. Based on the above, answer the following questions :
Student-teacher ratio survey of 100 secondary schools
Number of students per TeacherNumber of Schools
20 - 255
25 - 3015
30 - 3525
35 - 4030
40 - 4515
45 - 5010
  1. (i)What is the lower limit of the median class?[1]
  2. (ii)What is the upper limit of the modal class?[1]
  3. (iii)(a)Find the median of the data.[2]
  4. (iii)(b)OR Find the mode of the data.[2]

Answer

(i) The lower limit of the median class is ; (ii) The upper limit of the modal class is ; (iii)(a) The median is ; (iii)(b) OR: The mode is .

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