Case Study – 3 A survey was conducted by the Education Ministry of India to record the teacher-student ratio in…
CBSE Class 10 Maths PYQ · Statistics · Find Mean, median, mode · 4 Marks · July 2024 · Standard
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384 Marks · July 2024 · Standard
Case Study – 3 A survey was conducted by the Education Ministry of India to record the teacher-student ratio in various higher secondary schools of India. The following distribution was given by the Ministry : Number of students/teacher : $15-20$ $20-25$ $25-30$ $30-35$ $35-40$ $40-45$ Number of Schools : $3$ $8$ $9$ $10$ $3$ $2$ Based on the above information, answer the following questions : (i) Write the modal class. (ii) Write the median class. (iii) (a) Find the mode of the data. OR (b) Find the median of the data.
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Sol. (i) Modal class is $30 - 35$. (ii) Median class is $25 - 30$. (iii) (a) Mode = $30 + \frac{(10-9)}{(2 \times 10-9-3)} \times 5$ = $30.625$ OR (b) Median = $25 + \frac{(\frac{35}{2}-11)}{9} \times 5$ = $28.61$ approx.
