Question

Draw the histogram of the following data:

Height of student(m)	135 - 140	140 - 145	145 - 150	150-155
No. of students	4	12	16	8

Answer 1

Hint: We start solving the problem by analyzing the data given in the problem. We then decide what to be taken in x-axis and y-axis to draw a histogram. We check the frequency to take the scale on x and y-axes to plot. After checking all these factors, we draw the histogram.

Complete step by step answer:
According to the problem, we need to draw the histogram for the given data which is listed in the table below:

Height of students(m)	135 - 140	140 - 145	145 - 150	150-155
No. of students	4	12	16	8

Before drawing the histogram, we find the frequency of height of the students to take as scale on the x-axis.
We can see that the interval of 5m is taken to count the no. of students that lie in that interval. So, we scale on the x-axis as 1cm = 5m.
We take scale on the y-axis as 1cm = 2 to distribute the given date.
We take the height of the students on the x-axis and no. of students on the y-axis.
Now, we draw the histogram for the given data present in the table.
So, the histogram is as follows:

Note: We should not confuse histogram with bar graph as we take distance between bars bar graph which doesn’t in histogram. Histograms give a better idea about data to analyze than bar and other graphs. Most of the histograms follow normal distribution. We can also expect problems to draw bar graphs, pie charts for a given data.