Question

In “more than Ogive curve”, we consider the drawing
\[\begin{align}
  & \text{a) More than cumulative frequency, lower limits} \\
 & \text{b) }\text{More than cumulative frequency, upper limits} \\
 & \text{c) Less than cumulative frequency, lower limits} \\
 & \text{d) Less than cumulative frequency, upper limits} \\
\end{align}\]

Answer 1

Hint: While plotting a more than ogive curve we subtract the cumulative frequency of the previous from the current class. We plot these cumulative frequencies with lower limits of the given values.

Complete step by step answer:
The term ogive is usually used to describe curves. Ogives are nothing but basically graphs, which are used to determine how many numbers lie above a particular value or below a particular value. Now while calculating ogive first we calculate the cumulative frequency. Now let us first understand the term cumulative frequency. Cumulative frequencies are the frequencies which are the total frequencies so far in the frequency distribution.
Let us make a short table for values 1, 1, 2, 2, 2, 3, 3, 3, 4, 4
The table for this is

Values	Frequencies	Cumulative frequencies
1	2	2
2	3	2+3=5
3	3	2+3+3=8
4	2	2+3+3+2=10

Now we know how to create a cumulative frequency table.
Now with the help of these cumulative frequencies and the given values we will try to plot a graph such that the cumulative frequencies are plotted on y axis and the values are plotted on x-axis.
Now these graphs are further used to analyze the characteristics of the given data.
Now there are two methods to draw an Ogive graph.
First method is less than ogive and the second method is more than ogive.
Now let us understand what is more than ogive graphs.
It is a graph between lower limits and cumulative frequencies of distribution.
Here we form the cumulative frequencies by subtracting the cumulative frequency and the current frequency.
For example consider the data

Age	Number of students
10-15	11
15-20	18

Now total number of students is 11 + 18 = 29
Now let us create the CF column

Age	Number of students	CF
10-15	11	29
15-20	18	29 – 11 = 18

Hence we plot the lower limits on x-axis and the corresponding cumulative frequencies on y axis.
Hence we get upwards cumulating values resulting in more than cumulative frequency.
Hence it is a more than cumulative frequency, lower limits curve.

So, the correct answer is “Option A”.

Note: There is just a slight difference between less than ogive and more than ogive. In less than ogive we add the first class frequency to the second class frequency while in more than ogive we subtract the first class frequency with the second class frequency.