Question

Find standard deviation from the following data: Class 0-4 4-8 8-12 12-16 16-20 Frequency 10 2 3 3 2​

Answer 1

Answer:

10/25

Step-by-step explanation:

hope it helped you

Answer 2

Answer

Correct option is

A

19

C.I  x  

i

​

  f  

i

​

  f  

i

​

x  

i

​

  (x  

i

​

−  

x

)  

2

  f  

i

​

(x  

i

​

−  

x

)  

2

 

4−8  6  3  18  49  147  

8−12  10  6  60  9  54  

12−16  14  4  56  1  4  

16−20  18  7  126  25  175  

   ∑f  

i

​

=20  ∑f  

i

​

x  

i

​

=260  ∑(x  

i

​

−  

x

)  

2

=84   ∑f  

i

​

(x  

i

​

−  

x

)  

2

=380  

⇒    

x

=  

∑f  

i

​

 

∑f  

i

​

x  

i

​

 

​

=  

20

260

​

=13

⇒  Variance(σ  

2

)  

∑f  

i

​

 

∑f  

i

​

(x  

i

​

−  

x

)  

2

 

​

=  

20

380

​

=19