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The following distribution gives the sta...

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

Text Solution

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Here, Maximum frequency is `10`.
So, Modal class will be corresponding class to `10` that is , `30-35`.
Now, Mode can be given by formula,
`Mode = l+(f_1-f_0)/(2f_1-f_0-f_2)**h`
Here, `l =` Lower limit of modal class `= 30`
`f_1 = ` Frequency of Modal class `= 10`
`f_2 = ` Frequency of Pre Modal class `= 9`
`f_3 = ` Frequency of Succeeding Modal class `= 3`
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