Question

The demand for different shirt sizes is given in the table.

Size	38	39	40	41	42	43	44
No. of persons	26	36	20	15	13	7	5

Find the modal shirt size.
A.39
B.40
C.44
D.42

Answer 1

Hint: First we will find the total number of persons from the above table by adding the row for no. of persons and substitute value in the table. Then we will find the maximum frequency and write that corresponds to the required mode size.

Complete step-by-step answer:
We are given that demand for different shirt sizes is given in the table.

Size	38	39	40	41	42	43	44
No. of persons	26	36	20	15	13	7	5

Then we will find the total number of persons from the above table by adding the row for no. of persons, we get
\[
   \Rightarrow 26 + 39 + 20 + 15 + 13 + 7 + 5 \\
   \Rightarrow 125 \\
 \]
Thus, the total number of people is 125.
Substituting the above value in the above table, we get

Size	38	39	40	41	42	43	44	TOTAL
No. of persons	26	36	20	15	13	7	5	125

Since from the above table, maximum frequency is 39, which corresponds to the value 39, so then the mode size is 39.
Therefore, the modal shirt size is 39.
Hence, option A is correct.

Note: We need to know that the mode is the value that appears most frequently in a data set. A set of data may have one mode, more than one mode, or no mode at all. Other popular measures of central tendency include the mean, or the average of a set, and the median, the middle value in a set.