Solution:
Given data :
Population list = 1,3,6,10,15,19
Now, we have to find out the :
11. Find the
:
We know the ,
= mean
The formula for the Mean = ( sum of the all samples ) / (no.of samples )
= 1+3+6+10+15+19
= 54 / 6
= 9
Mean
= 9
12. Find
the
:-
Now,
= ( 1-9) + (3-9) + ( 6-9) + ( 10-9) + ( 15-9) +(
19-9)
= - 8 - 6 - 3 +1 + 6 + 10
= -17 + 17
= 0
13. Find the
:-
Now,
= ( 1-9)^2 + (3-9)^2 + ( 6-9)^2 + ( 10-9)^2 + ( 15-9)^2
+( 19-9)^2
= (- 8)^2 + (- 6 )^2 + (- 3)^2 +( 1)^2 + ( 6
)^2 + (10 )^2
= 64+ 36+ 9+ 1+36+100
= 246
14. Find the
:-
Now,
= 1+3+6+10+15+19
= 54
15. Find the
:-
Now, =
1^2 +3^2 + 6^2 + 10^2 + 15^2 +1 9 ^2
= 1+ 9 + 36 +100+ 225+ 361
= 732
16. Find the
:-
We know, the formula for the
is
=
=
=
=
=
=
= 3.5981
=
3.5981
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