Question

11. The mode of the following frequency distribution is 50. 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
Frequency 6
7
15
10
у
X
1
1​

Answer 1

Mode = l + F1 - F0/2F1 - F0-F2 * h            

=> 55 = 45 + 15-y/2*15-y-10 * 15

=>55=45 + 15-y/20-y * 15

=>10=15(15-y)/20-y)

=> 10= 225-15y/20-y

= > 200-10y=225-15y = >5y=25 = >y=5.

Now , given that Total = 51.

so,  6 +7 +y +15+10+x=51

=> 6+7+5+15+10+x=51 => x = 51- 43 = 8 .