Question 4:

The following distribution gives the state-wise teacher-student ratio in higher secondary schools of India. Find the mode and mean of this data. Interpret the two measures.

Answer:

It can be observed from the given data that the maximum class frequency is 10 belonging to class interval 30 − 35.

Therefore, modal class = 30 − 35

Class size (h) = 5

Lower limit (l) of modal class = 30

Frequency (f₁) of modal class = 10

Frequency (f₀) of class preceding modal class = 9

Frequency (f₂) of class succeeding modal class = 3

It represents that most of the states/U.T have a teacher-student ratio as 30.6.

To find the class marks, the following relation is used.

Taking 32.5 as assumed mean (a), d_i, u_i, and f_iu_i are calculated as follows.

Therefore, mean of the data is 29.2.

It represents that on an average, teacher−student ratio was 29.2.

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