Question

If the median of the following data is 240 then find the value of f.
Class. Frequency
0-100. 15
100-200 17
200-300 f
300-400 12
400-500 9
500-600 5
600-700 2

Answer 1

Answer:

............................:)

Step-by-step explanation:

Answer 2

Answer:

The missing frequency is 20

Step-by-step explanation:

Class     Frequency       c.f

0-100        15                  15

100-200    17                  32

200-300    f                   32+f

300-400    12                 44+f

400-500     9                 53+f

500-600     5                 58+f

600-700     2                  60+f

given, median = 240

Thus, median class = 200-300

$median=l+\frac{h}{f} (\frac{N}{2} -C)$

$l= 200, h = 100 , \frac{N}{2} =\frac{60+f}{2} , C= 32$

$240 = 200+ \frac{100}{f}(\frac{60+f}{2} -32 )$

$40 = \frac{100}{f} (\frac{60+f-62}{2})$

$80f = 100(-4+f)$

80f = -400 + 100f

20f = 400

f = $\frac{400}{20}$ = 20

Therefore, the missing frequency is 20