Question

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Let in a series of 2n observations,half of them are equal to a and remaining half are equal to – a. Also by adding a constant b in each of these observations, the mean and standard deviation of new set become 5 and 20,respectively.Then the value of a² + b² is equal to:​

Answer 1

Step-by-step explanation:

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_Σ* _ (a+a+...+a)−(a+a+...+a) X= 2n

2n

2 and o 2n -(x)² = 2 2 a² + a² +...+ a² 2n -0=a²

⇒ x = a

Now, adding a constant b then y=x+b=5

⇒b=5

and oy = 0, (No change in S.D.) ⇒ a = 20 a² + b² = 425

Answer 2

Answer:

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