Question

for the following distribution compute the mean and median using the formula​

Answer 1

Answer:

Step-by-step explanation:

Number

x  

i

​  

  Frequency

f  

i

​  

  f  

i

​  

x  

i

​  

  c.f  

5  1  5  1  

10  2  20  3  

15  5  75  8  

20  6  120  14  

25  3  75  17  

30  2  60  19  

35  1  35  20  

 ∑f  

i

​  

=20  ∑f  

i

​  

x  

i

​  

=390  

Mean(  

x

)=  

∑f  

i

​  

 

∑f  

i

​  

x  

i

​  

 

​  

=  

20

390

​  

=19.5

Here, N=20

Median=  

2

1

​  

[(  

2

N

​  

)  

th

term+(  

2

N

​  

+1)  

th

term]

Median=  

2

1

​  

[(  

2

20

​  

)  

th

term+(  

2

20

​  

+1)  

th

term]

Median=  

2

1

​  

[10  

th

term+11  

th

term]

10  

th

term=20 and 11  

th

term=20

∴   Median=  

2

1

​  

[20+20]

∴  Median=20