Question

Which of the given less than cumulative frequency curve (ogive) correctly represents the following distribution?

$\begin{array}{cccccc}\text{Height}& 110-120& 120-130& 130-140& 140-150& 150-160\\ \text{Number of students}& 7& 9& 12& 10& 4\end{array}$

• A.
• B.
• C.
• D.

Answer 1

The correct option is A

The less than cumulative frequency table for the given distribution is

$\begin{array}{ccc}\text{Height (Class Interval)}& \text{Number of students(Frequency)}& \text{Cumulative Frequency}\\ 110-120& 7& 7\\ 120-130& 9& 16\\ 130-140& 12& 28\\ 140-150& 10& 38\\ 150-160& 4& 42\end{array}$

Taking upper class limit along the x-axis and corresponding cumulative frequencies along the y-axis, we get the points (120,7), (130,16),(140,28),(150,38),(160,42).

Join the points to get the required ogive.