Question

The demand for different shirt sizes as obtained by a survey, is given. Calculate the Mode.

Size	38	39	40	41	42	43	44
Number of persons (wearing it)	27	40	51	16	14	8	6

Answer 1

Hint: In the given table, the data set is the row of “sizes” and frequency is the row of “Number of persons (wearing it)”. We know that mode is the dataset that has the greatest frequency value. Now, observe the greatest frequency and conclude the mode.

Complete step-by-step solution:
According to the question, we are given a table in which we have the demand for different shirt sizes as obtained by a survey.
We are asked to find the mode of the given table.

Size	38	39	40	41	42	43	44
Number of persons (wearing it)	27	40	51	16	14	8	6

We know that the mode of a given table is the value that appears most frequently in a table. In other words, we can say that mode is the data set having the greatest frequency value ……………………………………..(1)
Here, in this given table, the data set is the row of “sizes” and frequency is the row of “Number of persons (wearing it)”.
After observing the table, we can say that the greatest frequency of the table is 51 ………………………………………(2)
Now, using equation (1) and equation (2), we have
The data set 40 has the greatest frequency which is equal to 51.
Therefore, the mode of the given table is 40.

Note: In this question, one might make a silly mistake and take the greatest size of the shirt as the mode of the given table. This is wrong because the mode of a given table is the greatest frequency value and here frequency is the number of persons (wearing it).