Gamma Question Bank for Engineering Mathematics>Chapter 17 - Statistics>Assignment>Q 36

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The mean and standard deviation of $50$ observations are $50$ and $10$ . Later on its was decided to omit an observation which was incorrect by recorded as $99$ . Then the standard deviation of the remaining $49$ observations are

50% studentsanswered this correctly

Important Questions on Statistics

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Gamma Question Bank for Engineering Mathematics>Chapter 17 - Statistics>Assignment>Q 37

If the co-efficient of variation of two distributions are

60 %

and

75 %

and their standard deviations are

45

and

40

, then the ratio of their arithmetic means is

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Gamma Question Bank for Engineering Mathematics>Chapter 17 - Statistics>Assignment>Q 38

If two distributions have equal means, then

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Gamma Question Bank for Engineering Mathematics>Chapter 17 - Statistics>Assignment>Q 39

Coefficients of variation of two distribution are

15

and

20

and their means are

20

and

10

respectively. If their standard deviations are

σ_{1}

and

σ_{2}

then

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Gamma Question Bank for Engineering Mathematics>Chapter 17 - Statistics>Assignment>Q 40

Given

\sum_{i = 1}^{20} a_{i} = 100, \sum_{i = 1}^{20} a_{i}^{2} = 600, \sum_{i = 1}^{20} b_{i} = 140, \sum_{i = 1}^{20} b_{i}^{2} = 1000

, where

a_{i}, b_{i}

denotes length and weight of an observation. Then which is more varying?

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Gamma Question Bank for Engineering Mathematics>Chapter 17 - Statistics>Assignment>Q 41

The mean of

50

observations were calculated as

4.04

by Mohan who took by mistake

10

instead of

8

for one observation. The correct mean is

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Gamma Question Bank for Engineering Mathematics>Chapter 17 - Statistics>Assignment>Q 42

The standard deviation of first

10

positive integral multiples of

3

is equal to

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Gamma Question Bank for Engineering Mathematics>Chapter 17 - Statistics>Assignment>Q 43

The mean and standard deviations of

100

observations were calculated as

40

and

5.1

respectively by a student who took by mistake

50

instead of

40

for one observation. The sum of correct mean and standard deviation is

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Gamma Question Bank for Engineering Mathematics>Chapter 17 - Statistics>Assignment>Q 44

If coefficient of variation of a distribution is

60 %

and its standard deviation is

18

, then its arithmetic mean is