Question

Identify the modal class for the following data:

Answer 1

The modal class is the class with the highest frequency. Number of animals in the farm represents the frequency in this given question. Class in which the frequency is the highest in a distribution of a continuous quantitative statistical variable in which the values are grouped into classes with the same dimensions. The mode is rarely used as a measure of central tendency for continuous quantitative variables.

Complete step by step answer:
In the given information write all the frequencies that is the number of animals in each farm.
That will be 12 , 14 , 21 , 34 , 15 .
Find the maximum of all these frequencies given in the question.
That will be 34 .
Now find the class interval that is the farm which is related to the maximum frequency.
That will be 50 – 60
Which implies the maximum number of animals are in 50 – 60 farms as per the given information.
We know that the modal class is the class with the highest frequency ( which is 34 in this question )
So the modal class in this question will be 50 – 60.
Note:
We can find modal classes only for group data. It is used mainly to find the median of the given information. We also have a median class which means the class which contains the middle value of frequency. Do not confuse these terms. Read the question properly to understand whether the asked for median class or modal class that is to find median or to find mode.