Find the mean, median and mode of the following data:
Classes: | 0-50 | 50-100 | 100-150 | 150-200 | 200-250 | 250-300 | 300-350 |
Frequency: | 2 | 3 | 5 | 6 | 5 | 3 | 1 |
Class interval | Mid value(x) | Frequency(f) | fx | Cumulative frequency |
0-50 | 25 | 2 | 50 | 2 |
50-100 | 75 | 3 | 225 | 5 |
100-150 | 125 | 5 | 625 | 10 |
150-200 | 175 | 6 | 1050 | 16 |
200-250 | 225 | 5 | 1125 | 21 |
250-300 | 275 | 3 | 825 | 24 |
300-350 | 325 | 1 | 325 | 25 |
Total | N=25 |
Mean= 
=
We have, N= 25,
N/2 = 12.5
Hence, median class =150-200, such that
l=150, f’=6, f=10, h=50
Median = l + 
Here, we may observe that maximum class frequency is 6 belonging to the class interval 150-200
So, modal class= 150-200
Lower limit, l= 150
f0=5, f2=5, f=6, h = 50
=
16