Question

Draw a histogram of the following distribution.

Height $\left(cm\right)$	Number of students
$$\begin{gathered} 150-153 \\ 153-156 \\ 156-159 \\ 159-162 \\ 162-165 \\ 165-168 \end{gathered}$$	$$\begin{gathered} 7 \\ 8 \\ 14 \\ 10 \\ 6 \\ 5 \end{gathered}$$

Answer 1

Histogram

The histogram is a graphical representation of data that shows the frequency of the numerical data using rectangular bars.

The heights of the rectangular bars show the value of each element.

The histogram is similar to that of a bar graph.

The only difference between the two is that In the histogram, the bars are placed next to each other without any gap between them.

Drawing the histogram for the following data

The given data is

Height $\left(cm\right)$	Number of students
$$\begin{gathered} 150-153 \\ 153-156 \\ 156-159 \\ 159-162 \\ 162-165 \\ 165-168 \end{gathered}$$	$$\begin{gathered} 7 \\ 8 \\ 14 \\ 10 \\ 6 \\ 5 \end{gathered}$$

Let's represent the height of the students on $x-axis$ and the number of students on $y-axis$

[The scale used here:

On $x-axis$: $1cm=1unit$

On $y-axis$: $3cm=1unit$ ]

The histogram representing the heights of students in $cm$ can be represented as shown below.

Hence, This is the required histogram for the given data.