Find the values of frequencies and in the following frequency distribution table, if and median is .
Marks: | 0-10 | 10-20 | 20-30 | 30-40 | 40-50 | 50-60 | Total |
No. of Students: | 10 | x | 25 | 30 | y | 10 | 100 |
Marks | 0-10 | 10-20 | 20-30 | 30-40 | 40-50 | 50-60 | Total |
No. of students | 10 | x | 25 | 30 | y | 10 | 100 |
cumulative freq. | 10 | 10+x | 10+25+x=35+x |
30+35+x =65+x |
65+x+y |
65+x+y+10 +75+x+y |
Now,
_____(a)
As the median is , it must lie in the period
Median (M) =
Now from eq (a)