E M B I B E

Alpha Question Bank for Engineering: Mathematics>Chapter 23 - Statistics>Exercise-1>Q 29

EASY

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IMPORTANT

Earn 100

Standard deviation is independent of

50% studentsanswered this correctly

Important Questions on Statistics

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IMPORTANT

Alpha Question Bank for Engineering: Mathematics>Chapter 23 - Statistics>Exercise-1>Q 30

What is standard deviation of the set of observations

32, 28, 29, 30, 31

?

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IMPORTANT

Alpha Question Bank for Engineering: Mathematics>Chapter 23 - Statistics>Exercise-1>Q 31

If the standard deviation of

x_{1}, x_{2}, \dots . . x_{n}

is

3.5,

then the standard deviation of

- 2 x_{1} - 3, - 2 x_{2} - 3, \dots . - 2 x_{n} - 3

is

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IMPORTANT

Alpha Question Bank for Engineering: Mathematics>Chapter 23 - Statistics>Exercise-1>Q 32

The marks of some students were listed out of a maximum

100

. The standard deviation of marks was found to be

9

. Subsequently the marks raised to a maximum of

150

and standard deviation of new marks was calculated. The new standard deviation

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IMPORTANT

Alpha Question Bank for Engineering: Mathematics>Chapter 23 - Statistics>Exercise-2>Q 1

Find the arithmetic mean of

{}^{2 n + 1}C_{0}, {}^{2 n + 1}C_{1}, \dots \dots . .^{2 n + 1} C_{n}

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IMPORTANT

Alpha Question Bank for Engineering: Mathematics>Chapter 23 - Statistics>Exercise-2>Q 2

Following is the record of goals scored by team $A$ in football session

Numbers of goals scored	$0$	$1$	$2$	$3$	$4$
Numbers of match is	$1$	$9$	$7$	$5$	$3$

for team $‘ B ’$ mean number of goals scored per match was $2$ goals with standard deviation $1.25$ . The team which is more consistent

HARD

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IMPORTANT

Alpha Question Bank for Engineering: Mathematics>Chapter 23 - Statistics>Exercise-2>Q 3

The mean of two samples of sizes

200

and

300

were found to be

25, 10

, respectively. Their standard deviations were

3

and

4

respectively. Find the variance of combined sample of size

500

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IMPORTANT

Alpha Question Bank for Engineering: Mathematics>Chapter 23 - Statistics>Exercise-2>Q 4

The first of the two samples have

100

items with mean

15

and

S . D . 3 .

If the whole group has

250

items with mean

15.6

and

S . D . = \sqrt{13.44}

then

S . D .

of the second group is

HARD

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IMPORTANT

Alpha Question Bank for Engineering: Mathematics>Chapter 23 - Statistics>Exercise-2>Q 5

The average marks of

10

students in a class was

60

with standard deviation

4 .

While the average marks of other

10

students was

40

with a standard deviation

6 .

If all the

20

students are taken together, their standard deviation will be

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