Question

If the mode of the given data is 67 find the missing frequency
Class 40-50 50-60 60-70 70-80 80-90
Frequ 5 x 15 12 7

Answer 1

Answer:

40-50 5

50-60 x

60-70 15

70-80 12

80-90 7

mode = L + (f1-f0/2f1-f0-f2)h

67 = 60+(15-x /30-x-12)10

7=(15-x/18-x)10

7/10=15-x/18-x

7(18-x)=10(15-x)

126-7x=150-10x

3x=24

x=8

Answer 2

Solution is attached below -

Mode = 67

Lower class = 60 ( l )

Modal class = 60 -70

F1 = 15

F0 = x

F2 = 12

h = 10 ( different between the lower and higher class interval )