Question

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 1

The mode and mean of this data are as follows

Mode=3

Mean=4.375

1. Mode is give by identifying the most repeated element in the given data.

2. The most repeated element is 3.

3. Mean is given by dividing sum of all observations with Number of observations.

4. Mean=(3+8+9+10+3+0+0+2)/8

Mean=35/8=4.375