Question

A graph of a cumulative frequency distribution is called
A) Frequency polygon
B) Histogram
C) Ogive
D) None of these

Answer 1

Hint:A cumulative frequency distribution is the sum of the group and all groups below it in a frequency distribution. All that means is you’re adding up a value and all of the values that came before it.

Complete step by step solution:
A cumulative frequency distribution is used to check that your math is correct. By adding up all of the numbers and comparing it to your sample size, you know you’ve included all your data And You’re interested in studying a population to find out a “more” or “less” question.

Label a new column in your frequency distribution table “Cumulative frequency” and compute the first two entries. The first entry will be the same as the first entry in the frequency column. The second entry will be the sum of the first two entries in the frequency column

Group limit	frequency	Cumulative frequency
\[10 - 15\]	1	1
\[15 - 20\]	2	3
\[20 - 25\]	4
\[25 - 30\]	0

Now for the rest of the cumulative frequency column.

Group limit	frequency	Cumulative frequency
\[10 - 15\]	1	1
\[15 - 20\]	2	3
\[20 - 25\]	4	7
\[25 - 30\]	0	7

Therefore A graph of cumulative frequency is called ogive, hence the correct option is (C).

Note: A histogram is a graphical display of frequency distribution where the heights are measures of the frequency.