Statistics and Probability-Standard Deviation (KVPY Stream SB-SX (Class 12 & 1st Year BSC) Math): Questions 1 - 2 of 2

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Question number: 1

» Statistics and Probability » Standard Deviation

Appeared in Year: 2014

MCQ▾

Question

Let n3 . A list of number x1,x2,,xn has mean μ and standard deviation σ . A new list of numbers y1,y2,,yn is made as follows: y1=x1+x22,y2=x1+x22 and yj=x for j=3, 4,n . The mean and the standard deviation of the list are μ^ and σ^ . Then which of the following is necessarily true?

Choices

Choice (4) Response

a.

μ=μ^andσσ^

b.

σ=σ^

c.

μμ^

d.

μ=μ^andσσ^

Question number: 2

» Statistics and Probability » Standard Deviation

Appeared in Year: 2013

MCQ▾

Question

Let n3 . A list of numbers 0<x1<x2<<xn has mean μ and standard deviation σ . A new list of numbers is made as follows: y1=0,y2=x2,,yn1=xn1,yn=x1+xn . The mean and the standard deviation of the new list are μ^andσ^ . Which of the following is necessarily true? (Model Paper)

Choices

Choice (4) Response

a.

μ many or may not be equal to μ^

b.

μ=μ^,σσ^

c.

σ=σ^

d.

μ=μ^,σσ^

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