Question

Draw a histogram for the marks of students given below:

$\begin{array}{cccccc}Marks:& 0-10& 10-30& 30-45& 45-50& 50-60\\ No.ofstudents& 8& 32& 18& 10& 6\end{array}$

• A.
• B.
• C.
• D. None of these

Answer 1

The correct option is B

Here, minimum class-size=5. So, we adjust the frequencies by using the following formula:

Adjusted frequency of a class $=\frac{Minimumclasssize}{Class-size}\times$ Frequencey of the class

The adjusted frequencies are computed as follows:

$\begin{array}{ccc}classintervals\left(Marks\right):& No.ofstudents\left(Frequency\right)& AdjustedFrequency\\ 0-10& 8& \frac{5}{10}\times =4\\ 10-30& 32& \frac{5}{20}\times 32=8\\ 30-45& 18& \frac{5}{15}\times 18=6\\ 45-50& 10& \frac{5}{5}\times 10=10\\ 50-60& 6& \frac{5}{10}\times 6=3\end{array}$