Gamma Question Bank for Engineering Mathematics>Chapter 17 - Statistics>Assignment>Q 23

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Consider the first $10$ positive integers. If we multiply each number by $- 1$ and then add $1$ to each number, the variance of the numbers so obtained is

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Important Questions on Statistics

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Gamma Question Bank for Engineering Mathematics>Chapter 17 - Statistics>Assignment>Q 24

The following information relates to a sample of size

60

:

\sum x_{i}^{2} = 18000, \sum x_{i} = 960

. The variance is

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Gamma Question Bank for Engineering Mathematics>Chapter 17 - Statistics>Assignment>Q 25

Standard deviation of the data

2, 4, 5, 6, 8, 17

is

23.33

. Then standard deviation of

4, 8, 10, 12, 16, 34

will be

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Gamma Question Bank for Engineering Mathematics>Chapter 17 - Statistics>Assignment>Q 26

The variance of

20

observations is

5

. If each observation is multiplied by

2

, then the variance of the resulting observations is

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Gamma Question Bank for Engineering Mathematics>Chapter 17 - Statistics>Assignment>Q 27

If the standard deviation of the numbers

2, 3, 2 x

and

11

is

3.5

, the possible value of

x

is

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Gamma Question Bank for Engineering Mathematics>Chapter 17 - Statistics>Assignment>Q 28

The standard deviation of some temperature data in

° C i s 5 .

If the data were converted into

° F,

the new variance would be

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Gamma Question Bank for Engineering Mathematics>Chapter 17 - Statistics>Assignment>Q 29

If the standard deviation of a variable

X

is

σ

, then the standard deviation of variable

\frac{a X + b}{c}

is

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Gamma Question Bank for Engineering Mathematics>Chapter 17 - Statistics>Assignment>Q 30

If

v

is the variance and

σ

is the standard deviation, then

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Gamma Question Bank for Engineering Mathematics>Chapter 17 - Statistics>Assignment>Q 31

If the standard deviation(

S . D .

) of a set of observations is

8

and if each observation is divided by

- 2

, then

S . D .

of the new set of observations will be