Question

The mode of the following frequency distribution is 55, find the values of x and y, if the total frequency is 50.
C.I
0-15
15-30
30-45
45-60
60-75
75-90

f
6
7
y
15
10
x​

Answer 1

Answer:

ANSWER

 C.I frequency 0-15 6 15-30 7 30-45 k(f1) 45-60 15(f0) 60-75 10(f2) 75-90 8  51Given that

mode of frequency distribution is 55

Here given

mode =55

So 

mode class is 45−60

lower limit (t) =45

class height (h) =15

then

f0=15

f1=k

f2=10

mode =l+(2f0−f1−f2f0−f1)×h

55=45+(2×15−k−1015−k)×15

55−45=(30−k−1015−k)×15

10(30−k−10)=(15−k)15

10(20−k)=215−15k

200−10k=225−15k⇒15k−