Question

31.
In the following data, the median of the runs scored by 60 top batsmen of the
world in one-day international cricket matches is 5000. Find the missing
frequencies x and y.
Runs scored
2500 - 3500
Number of batsmen
5
3500 - 4500
Х
4500 - 5500
у
5500 - 6500
12.
6
6500 - 7500
2
7500 - 8500​

Answer 1

Answer:

x = 30

y = 5

Step-by-step explanation:

4500-5500 is the median class

so lower limit = 4500

no. of terms = 60

therefore n/2 = 30

cf of preceeding class = 5+x

frequency of modal class = y

given total no. = 60

therefore cf of 7500-8500= 25+x+y

and 25 + x + y = 60

y = 35- x

putting values in formula we get

5000 = (30-5-x/35-x) x 1000

500 = 2500 - 1000x/ 35- x

17500-500x = 2500- 1000x

x = 30

x = 30

y = 35-30 = 5

mrk m brainliest