Mathematics Crash Course JEE Main>Chapter 27 - Statistics>Level 1>Q 29

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IMPORTANT

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Let $O$ be the mean deviation of the first five odd natural numbers about their mean and $P$ be the mean deviation of the first five prime numbers about their mean. Then $P - O =$

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Important Questions on Statistics

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IMPORTANT

Mathematics Crash Course JEE Main>Chapter 27 - Statistics>Level 1>Q 30

Which of the following data has minimum variance?

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IMPORTANT

Mathematics Crash Course JEE Main>Chapter 27 - Statistics>Level 1>Q 31

Let

λ

is the variance of first

50

odd natural number, then the value of

λ - 830

is equal to

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Mathematics Crash Course JEE Main>Chapter 27 - Statistics>Level 2>Q 1

If a variate

X

is expressed as a linear function of two variates

U

and

V

in the form

X = a U + b V,

then Mean

\bar{X}

of

X

is

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Mathematics Crash Course JEE Main>Chapter 27 - Statistics>Level 2>Q 2

In a group of students, the mean weight of boys is

65 kg

, and mean weight of girls is

55 kg

. If the mean weight of all students of group is

61 kg

, then the ratio of the number of boys and girls in the group is

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Mathematics Crash Course JEE Main>Chapter 27 - Statistics>Level 2>Q 3

If the mean of

n

observations

1^{2}, 2^{2}, 3^{2}, . . . . . . n^{2}

is

\frac{46 n}{11}

, then

n

is equal to

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Mathematics Crash Course JEE Main>Chapter 27 - Statistics>Level 2>Q 4

If

{\bar{x}}_{1}

and

{\bar{x}}_{2}

are means of two distribution, such that

{\bar{x}}_{1} < {\bar{x}}_{2}

and

\bar{x}

is the mean of the joint distribution, then

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Mathematics Crash Course JEE Main>Chapter 27 - Statistics>Level 2>Q 5

If the variance of

10

natural numbers

1, 1, 1, \dots, 1, k

is less than

10,

then the maximum possible integral value of

k

is ___________.

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IMPORTANT

Mathematics Crash Course JEE Main>Chapter 27 - Statistics>Level 2>Q 6

The first of the two samples in a group has

100

items with mean

15

and standard deviation

3 .

If the whole group has

250

items with mean

15.6

and standard deviation

\sqrt{13.44},

then the standard deviation of the second sample is: