Question

If the median of the distribution given below is 28.5, find the values of x and y.
Class : 0-10 10-20 20-30 30-40 40-50 50-60
f1 : 5 x 20 15 y 5
Total frequency : 100

Answer 1

Step-by-step explanation:

hope this will help you

Answer 2

$\boxed{QUESTION:-}$

If the median of the distribution given below is 28.5, find the values of x and y.

$\boxed{Solution:-}$

Check The attachment for Class Interval, Fi, C.F and for Understanding!

median=28.5

median class=20-30

l=20

h=10

f=20

C.F=5+x

$\frac{N}{2}$=$\frac{\cancel{100}}{\cancel{2}}$=50

Median=l+$\frac{N/2-C.F}{F}$×h

28.5=20+$\frac{50-(5+x)}{20}$×10

28.5-20=$\frac{45-x}{20}$×10

8.5×20=(45-x)×10

170=(45-x)×10

$\frac{\cancel{170}}{\cancel{10}}$=45-x

→17=45-x

→17-45=-x

→-28=-x

=>x=28

Now, Refer Attachment-- From That Eq-(1)

We get,

x+y=55

→28+y=55

→y=55-28

→y=27

[x=28 & y=27]

$\mathcal{BE \: BRAINLY}$