Question

The following numbers are the sizes of shoes sold by a shop on a particular day. Find the mode. 6, 7, 8, 9, 10, 6, 7, 10, 7, 6, 7, 9, 7, 6.

Answer 1

First we have to arrange the observations in order 6, 6, 6, 6, 7, 7, 7, 7, 7, 8, 9, 9, 10, 10 to make frequency distribution table
$\begin{array}{cccccc}\text{Size}& 6& 7& 8& 9& 10\\ \text{Number of}& & & & & \\ \text{shoes sold}& 4& 5& 1& 2& 2\end{array}$

Here number 7 occurred most frequently i.e., 5 times.
$\therefore$ Mode (size of the shoes) of the given data is 7. This indicates the shoes of size No. '7' is a fast selling item