Statistics
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.
Number of students per teacher |
Number of states/U.T |
15 − 20 |
3 |
20 − 25 |
8 |
25 − 30 |
9 |
30 − 35 |
10 |
35 − 40 |
3 |
40 − 45 |
0 |
45 − 50 |
0 |
50 − 55 |
2 |
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 (f_{1}) of modal class = 10
Frequency (f_{0}) of class preceding modal class = 9
Frequency (f_{2}) 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}, uâ€¦
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