Math, asked by rajbirsingh80, 4 months ago

If the median of the following frequency distribution is 46, find the missing frequencles, Class-interval Frequency
10-20 12
20-30 30
30-40 ?
40-50 65
50-60 ?
60-70 25
70-80 18
Total 229​

Answers

Answered by ItzYrSnowy
4

Answer:

Step-by-step explanation:

Correct option is

A

P = 34, Q = 45

Class interval Frequency C.F.

10 - 20 12 12

20 - 30 30 42

30 - 40 f  

1

 42+f  

1

 

40 - 50 65 107+f  

1

 

50 - 60 f  

2

 107+f  

1

+f  

2

 

60 - 70 25 132+f  

1

+f  

2

 

70 - 80 18 150+f  

1

+f  

2

 

Let the frequency of the class 30 - 40 be f  

1

 and that of the calss 50 - 60 be f  

2

 The total frequency is 229

12 + 30 + f  

1

 + 65 + f  

2

 + 25 + 18 = 229 ⇒f  

1

+f  

2

=79

It is given that median is 46 clearly 46 lies in the class 40 - 50. So 40 - 50 is the median class

∴l=40,h=10,f=65andC=42+f  

1

,N=229

Median = l+  

f

2

N

−C

×h⇒46=40+  

65

2

229

−(42+f  

1

)

×10⇒46=40+  

13

145−2f  

1

 

 

⇒6=  

13

145−2f  

1

 

→2f  

1

=67⇒f  

1

=33.5or34 Since f  

1

+f  

2

=79∴f  

2

=45 Hence f  

1

=34 and f  

2

=45

Answered by amitnrw
8

Given :  frequency distribution is 46

To Find : missing frequencies

Solution:

CI              f            cf

10-20        12          12

20-30      30          42

30-40       x           42 + x

40-50      65          107 + x

50-60       y            107 + x + y

60-70      25           132 + x + y

70-80       18           150 + x + y

Total       229​

 150 + x + y  = 229

=> x + y  =  79

Median is 46  lies in  40 - 50

46  = 40  + 10  ( 229/2  -  (42 + x)) / 65

=> 6  =   ( 229 - 84 - 2x) /13

=> 78  = 145 - 2x

=> 2x =  67

=> x = 33.5

x + y = 79

=> y = 45.5

Missing frequencies are  33.5  and 45.5

Learn More:

AM is 29 .find the missing frequency .x-5,15,25,35,45,55,f-5,7

brainly.in/question/24128502

AM is 29 .find the missing frequency .x-5,15,25,35,45,55,f-5,7

brainly.in/question/24128533

Similar questions