Question

Construct a histogram from the following distribution of total marks obtained by 65 students of X class in the final examination

$\begin{array}{ccccccc}Marks(mid-points):& 150& 160& 170& 180& 190& 200\\ No.ofstudents& 8& 10& 25& 12& 7& 3\end{array}$

• A.
• B.
• C.
• D. None of these

Answer 1

The correct option is C

Ascertainment of lower and upper class limits:

Since the difference between the second and first mid – point is 160 -150 =10

$\therefore h=10\Rightarrow \frac{h}{2}=5$

So, lower and upper limits of the first class are 150 -5 and 150 + 5 i.e. 145 and 155 respectively

$\therefore$ First class interval is 145 – 155

Using the same procedure, we get the classes of other mid-points as under:

$\begin{array}{ccccccc}Marks:& 145-155& 155-165& 165-175& 175-185& 185-195& 195-205\\ No.ofstudents& 8& 10& 25& 12& 7& 3\end{array}$

The histogram of the above frequency distribution is given in the figure.