Question

(1) Find the mean of observations 1, 4.2.11 2​

Answer 1

Answer:

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Explanation:

Correct option is

A

9,4

Let the other two observations be x and y. Then,

Mean=4.4⇒

5

1+2+6+x+y

=4.4⇒x+y=13

Variance=8.24

⇒

5

1

(1

2

+2

2

+6

2

+x

2

+y

2

)−(4.4)

2

=8.24

⇒

5

41+x

2

+y

2

−19.36=8.24

⇒x

2

+y

2

+41=138⇒x

2

+y

2

=97...(ii)

Now, (x−y)

2

+(x+y)

2

⇒(x−y)

2

+169=2×97[Using(i)and(ii)]

⇒(x−y)

2

=25

⇒x−y=5...(iii)

Solving(i)and(iii), we get x=9 and y=4.