Question

Draw a histogram to represent the following information:

$\begin{array}{cccccc}\text{Marks}& 0-10& 10-30& 30-45& 45-50& 50-60\\ \text{Number of students}& 8& 32& 18& 10& 6\end{array}$

Answer 1

Minimum class size = 50 - 45 = 5
Adjusted frequency of a class $=\frac{\text{minimum class size}}{\text{class size}}\times \text{frequency of the class}$

$\begin{array}{ccc}\text{Marks}& \text{No. of students}& \text{Adjusted Frequency}\\ & \text{(Frequency)}& \\ 0-10& 8& \frac{5}{10}\times 8=4\\ 10-30& 32& \frac{5}{20}\times 32=8\\ 30-45& 18& \frac{5}{15}\times 18=6\\ 45-50& 10& \frac{5}{5}\times 10=10\\ 50-60& 6& \frac{5}{10}\times 6=3\end{array}$