Question

Calculate the median of the data, value less than 10 less than 20 less than 30 less than 40 less than 50 with frequency 11 18 34 48 60

Answer 1

Answer:

Answer:36.912

Explanation:

class interval fi c.f(cumulative frequency)

0-10 11 5

10-20 18 20

20-30 34 45

30-40 48 80

40-50 60 125

N=125

N/2=125/2

=62.5

Median= l+(N/2-c.f/f) x h

=20+(125/2-5/34)x 10

=20+(62.5-5/34)x 10

=20+(62.5-5/17)x 5 (cancelling 34 and 10 by 2nd table)

=20+(57.5/17)x 5 (subtracting 62.5-5=57.5)

=20+287.5/17 (multiplying 57.5 x 5 = 287.5)

=20+16.912 (dividing 287.5 by 17 = 16.912)

=36.912