Question

the mode of the below data is 97.5 find x
classes -81-85, 86-90, 91-95, 96-100 ,101-105,106-110,111-115
frequency- 2,7, 18,36 ,x, 5,3​

Answer 1

Answer:

Step-by-step explanation:

Modal class 86-90

L=85+86/2=85.5

f0=18,f1=36,f2=x,h=5 and mode=97.5

97.5=95.5+36-18/72-18-x*5

2=18/56-x*5

102-2x=90

-2x=-12

2x=12

x=6

Answer 2

Answer:

answer =9

Step-by-step explanation:

L = 95.5 (inclusive class interval 96-100)

f1=36,fo=18,f2=x,h=5

mode = l+ (f1-fo/2f1-fo-f2) × h

97.5=> 95.5+[36-18/2(36)-18-x] × 5

97.5-95.5= [18/54-x] ×5

2=90/54-x

2(54-x)=90

108-2x=90

108-90=2x

18=2x

x=9