Question

Heights of students of class x are given in the following distribution: Height (cm) 150-155 155-160 160-165 165-170 170-175.
No of students 15 8 20 12 5.
find the model height.​

Answer 1

Step-by-step explanation:

Here the maximum class frequency is 20, and the class corresponding to this frequency is 160−165. So, the modal class is 160−165.

Now,

Modal class = 160−165, lower limit (l) of modal class = 160, class size (h) = 5,

frequency (f1) of the modal class = 20,

Heights of students of class x are given in the following distribution: Height (cm) 150-155 155-160 160-165 165-170 170-175.

No of students 15 8 20 12 5.

find the model height.

frequency (f0) of class preceding the modal class = 8,

frequency (f2) of class succeeding the modal class = 12.

Now, let us substitute these values in the formula:

Hence, the mode is 163.

It represents that the height of maximum number of students is 163 cm.