Question

Given below are the heights of 20 students in centimetres. Find the number of students whose height is less than or equal to 169 cm.

$$\begin{array}{cc}150& 178\\ 153& 156\\ 162& 184\\ 170& 176\\ 186& 173\\ 153& 186\\ 162& 159\\ 180& 183\\ 165& 180\\ 150& 156\end{array}$$

• A. 15
• B. 9
• C. 10
• D. 12

Answer 1

The correct option is C

10

When we arrange the heights in a grouped frequency table, we get the following table:

$$\begin{array}{cc}\text{Height}& \text{Number of students}\\ 150-154& 4\\ 155-159& 3\\ 160-164& 2\\ 165-169& 1\\ 170-174& 2\\ 175-179& 2\\ 180-184& 4\\ 185-190& 2\\ \text{Total}& 20\end{array}$$

To consider students with height less than or equal to 169 cm, the groups to be considered are:

$$\begin{array}{cc}\text{Height}& \text{Number of students}\\ 150-154& 4\\ 155-159& 3\\ 160-164& 2\\ 165-169& 1\\ \text{Total}& 10\end{array}$$

Number of students less than or equal to the height of 169 cm is 10.