Question

Can "mode" be calculated for grouped data with unequal Class sizes?

Answer 1

Hint: Here we will use the definition of mode and use an example to explain it. When the data is formed by arranging individual or single observations of a variable into groups then it is termed as grouped data. Now using the definition of grouped data we will find the required answer.

Complete step-by-step answer:
First, we will define the term mode. A mode is defined as the value which has a higher frequency in a given set of values.
For example: Let us assume a set of data: 4, 2, 2, 2, 5, 5, 6, 7. Here, 2 has occurred 3 times and 5 has occurred two times. As 2 has occurred more number of times, so the mode of the given data set is 2.
Yes, we can calculate the mode for a group of data with unequal class interval or class size. We need to do more computations and use an appropriate formula for that.
We have to first calculate the height of the class interval by dividing the frequency by that class width. The class which has the maximum height will be the required modal class, containing the mode.
Hence, we can say that the mode can be calculated for grouped data with unequal Class interval or class sizes.

Note: We know that there are different types of modes. If there are three modes in a given set of data, then it is called the trimodal mode. If there are four or more than four modes then it is called a multimodal mode. If in the data there are two modes, then the set is called bimodal. However, if the given set of data does not include any repeated value in the set, then it is said to be in no mode.