Question

1 Calculate arithmetic mean , median and mode from the following frequency distribution
10-13 13-1616-19 19-22 22-25 25-28 28-31 31-34 34-3737-40
8 15 275175 54 36 18 97

Answer 1

Answer:

Sum of numbers =7+4+3+5+6+3+3+2+4+3+4+3+3+4+4+3+2+2+4+3

+5+4+3+4+3+4+3+1+2+3

=104

Total numbers are 30

mean=

30

104

=3.46667=3.47

The mode is the number which appeared most.

Therefore, mode=3

For median arrange the numbers in ascending order:

1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,5,5,6,7

Median =

2

(15

th

+16

th

)term

=

2

3+3

=3