Question

Find the missing frequency 'x' of the following data if it's mode is ₹240.​

Answer 1

Answer:

940

Step-by-step explanation:

300+400-240=940 answer

Answer 2

Answer:

-210 is the required value of x .

Step-by-step explanation:

Explanation:

Given , class interval :0-100,100-200,200-300,300-400,400-500,

Frequency : 140,230,270,x,150

Mode = 240.

Step 1:

Here we see that 240 lies in class interval 200-300

So, the mode class is 200-300

Therefore ,

lower limit (l) = 200

h = 100  ,$f_{1}$ = 270 , $f_{0}$ = 230 and $f_{2}$ = x

Formula of mode = $l + (\frac{f_{1} -f_{0} }{2f_{1} -f_{0} +f_{2} } )h$

Now put the value in this formula

240 = $200+ (\frac{270 -230 }{2(270) -230 + x } )100$

⇒240 = 200 +$\frac{4000}{310+x}$

⇒240(310+x) = 200(310+x)+4000

⇒74400 +240x= 62000+200x+4000

⇒x = -210

Final answer:

Hence , the value of x is -210.