Question

Consider the following frequency distribution table:

Observations	Frequency	Tally Marks
1	4	||||
2	2	||
3	6	|||| |
4	5	||||
5	3	|||

Which of the following statements are true?

• A.
  Total frequency = 15
• B.
  Total frequency = 20
• C.
  Average = 3
• D.
  Average = 4

Answer 1

Answer: (B), (C)

The correct options are
B
Total frequency = 20
C

Average = 3
We know,

$Average=\frac{Sumofallobservations}{Totalnumberofobservations}$

In this case,

$Average=\frac{1+2+3+4+5}{5}=\frac{15}{5}=3$

Also, total frequency = 4 +2+ 6 +5 +3 = 20

Hence, (b), (c) are the required answers