the median of the data is 525 find x and y, if total frequency is 100 class 0-100 100-200 - Maths - Statistics

Question

the median of the data is 525 find x and y, if total frequency
is 100
class 0-100 100-200 200-300 300-400 400-500 500-600 600-700
700-800 800-900 900-1000
frequeency 2 5 x 12 17 20 y 9 7 4

Duke Biswass · Accepted Answer

Class Interval Frequency Cumulative frequency 0-100 2 2 100-200 5 7 200-300 x 7+x 300-400 12 19+x 400-500 17 36+x 500-600 20 56+x 600-700 y 56+x+y 700-800 9 65+x+y 800-900 7 72+x+y 900-1000 4 76+x+y Median = size of n/2th term n/2 = 100/2 = 50 Let us assume that it lies in the class 300-400 $M e d i a n = I_{1} + \frac{\frac{N}{2} - c f}{f} \times i$ â‡’ $500 = 300 + \frac{50 - 19 - x}{12} \times 100$ â‡’x=4 Hence our assumption is correct Also 76+x+y =100 â‡’ x+y =24 â‡’ y = 20

the median of the data is 525. find x and y, if total frequency is 100 class 0-100 100-200 200-300 300-400 400-500 500-600 600-700 700-800 800-900 900-1000 frequeency 2 5 x 12 17 20 y 9 7 4

the median of the data is 525. find x and y, if total frequency is 100

class 0-100 100-200 200-300 300-400 400-500 500-600 600-700 700-800 800-900 900-1000

frequeency 2 5 x 12 17 20 y 9 7 4