Question

6) The mode of following data is 45,find x and y given that
€=50.
Class interval
10-20
40-50
30-40
Frequency
4
8
x
12
10
4
y

Answer 1

x = 10   ;   y = 2.

To find : The value of x and y.

Given :

Class interval (h)           Frequency

10 - 20                                   4

20 - 30                                  8

30 - 40                                  x

40 - 50                                 12

50 - 60                                 10    

60 - 70                                  4    

70 - 80                                  y

                                $\sum f_{i}=$ 50      

                              Mode = 45                                            

Formula :

              $\text {Mode}=l+\left(\frac{f_{1}-f_{0}}{2 f_{1}-f_{0}-f_{2}}\right) \times h$

               Class interval (h) = 10

               $f_{0}$  = x   ;    $f_{1}$ = 12   ;    $f_{2}$ = 10        

$45=40+\left(\frac{12-x}{(2 \times 12)-x-10}\right) \times 10$

$45-40=\left(\frac{12-x}{24-x-10}\right) \times 10$

$5=\left(\frac{12-x}{14-x}\right) \times 10$

$70-5 x=120-10 x$

$10 x-5 x=120-70$

$5 x=50$

$x = \frac{50}{5}$

x = 10

To find "y" value :

x+y+4+8+12+10+4 = 50

x+y+38 = 50

x+y = 50 - 38

x+y = 12

10+y = 12  (x = 10)

y = 12 - 10

y = 2

Hence, the value of x is 10 and y is 2.

To learn more...

brainly.in/question/2681841

Answer 2

Answer:

Step-by-step explanation: