Mathematics for Joint Entrance Examination JEE (Advanced) Algebra>Chapter 11 - Statistics>Exercises>Q 19

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IMPORTANT

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If $μ$ is the mean of distribution $(y_{i}, f_{i})$ , then $\sum f_{i} (y_{i} - μ) =$

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Important Questions on Statistics

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IMPORTANT

Mathematics for Joint Entrance Examination JEE (Advanced) Algebra>Chapter 11 - Statistics>Exercises>Q 20

The range of the following set of observations

2, 3, 5, 9, 8, 7, 6, 5, 7, 4, 3

is,

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IMPORTANT

Mathematics for Joint Entrance Examination JEE (Advanced) Algebra>Chapter 11 - Statistics>Exercises>Q 21

If each observation of a raw data whose variance is

σ

is multiplied by

h

, then the variance of the new set is

HARD

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IMPORTANT

Mathematics for Joint Entrance Examination JEE (Advanced) Algebra>Chapter 11 - Statistics>Exercises>Q 22

If a variable

x

takes values

0, 1, 2, . . ., n

with frequencies proportional to the binomial coefficients

{}^{n}C_{0}, {}^{n}C_{1}, {}^{n}C_{2}, . . . ., {}^{n}C_{n}

, then

var (X)

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Mathematics for Joint Entrance Examination JEE (Advanced) Algebra>Chapter 11 - Statistics>Exercises>Q 23

The variance of the data

2, 4, 6, 8, 10

is

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IMPORTANT

Mathematics for Joint Entrance Examination JEE (Advanced) Algebra>Chapter 11 - Statistics>Exercises>Q 24

If the standard deviation of

0, 1, 2, . . ., 9

is

K

, then the standard deviation of

10, 11, 12, . . ., 19

is

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Mathematics for Joint Entrance Examination JEE (Advanced) Algebra>Chapter 11 - Statistics>Exercises>Q 25

For a given distribution of marks, the mean is

35.16

and its standard deviation is

19.76

. The coefficient of variation is

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Mathematics for Joint Entrance Examination JEE (Advanced) Algebra>Chapter 11 - Statistics>Exercises>Q 26

The mean and the

S . D .

of

1, 2, 3, 4, 5, 6

are

HARD

JEE Main/Advance

IMPORTANT

Mathematics for Joint Entrance Examination JEE (Advanced) Algebra>Chapter 11 - Statistics>Exercises>Q 27

The standard deviation of

25

numbers is

40

. If each of the numbers in increased by

5

, then the new standard deviation will be