Question

- 20 cm
34. Find the missing frequency of the following data if its mode is * 240.
Expenditure 0-100 100-200 200-300 300-400 400-500
No. of families 140 230
270 x
150​

Answer 1

Step-by-step explanation:

From table, Median = 240 which lines between class 200 - 300 Median class = 200

Answer 2

Answer:

the missing frequency in the following data is 210

Step-by-step explanation:

class interval     frequency

0-100                  140

100-200             230

200-300            270

300-400             x

400-500             150

Given, mode = 240

So the modal class = 200-300

$mode= l+\frac{h(f1-fo)}{2f1-f2-fo}$

$l = 200, \ h=100, \ f1=270, \ fo=230, \ f2 = x$

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

$40=\frac{4000}{310-x}$

12400 - 40x= 4000

40x = 12400 - 4000 = 8400

40x = 8400

$x=\frac{8400}{40} =210$

Hence, the missing frequency in the following data is 210