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JEE Main

IMPORTANT

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If the variance of the first $n$ natural numbers is $10$ and the variance of the first $m$ even natural numbers is $16,$ then the value of $m + n$ is equal to

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Important Questions on Statistics

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 22 - Statistics>JEE Main - 7th January 2020 Shift 2>Q 30

If the mean and variance of eight numbers

3, 7, 9, 12, 13, 20, x

and

y

10

and

25

respectively, then

x \cdot y

is equal to

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JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 22 - Statistics>JEE Main - 8th January 2020 Shift 1>Q 31

The mean and the standard deviation (s.d.) of

10

observations are

20

and

2

respectively. Each of these

10

observations is multiplied by

p

and then reduced by

q,

where

p \neq 0

and

q \neq 0 .

If the new mean and new s.d. become half of their original values, then

q

is equal to

EASY

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 22 - Statistics>JEE Main - 8th January 2020 Shift 2>Q 32

The mean and variance of

20

observations are found to be

10

and

4,

respectively. On rechecking, it was found that an observation

9

was incorrect and the correct observation was

11,

then the correct variance is

HARD

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 22 - Statistics>JEE Main - 9th January 2020 Shift 1>Q 33

Let the observation

x_{i} (1 \leq i \leq 10)

satisfy the equations

\sum_{i = 1}^{10} (x_{i} - 5) = 10

\sum_{i = 1}^{10} {(x_{i} - 5)}^{2} = 40

. If

μ

and

λ

are the mean and the variance of the observations,

x_{1} - 3, x_{2} - 3, . . . ., x_{10} - 3,

then the ordered pair

(μ, λ)

is equal to

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JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 22 - Statistics>JEE Main - 9th April 2019 Shift 1>Q 34

If the standard deviation of the numbers

- 1, 0, 1, k

\sqrt{5}

where

k > 0,

then

k

is equal to

EASY

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 22 - Statistics>JEE Main - 9th April 2019 Shift 2>Q 35

The mean and the median of the following ten numbers in increasing order

10, 22, 26, 29, 34, x, 42, 67, 70, y

are

42

and

35

respectively, then

\frac{y}{x}

is equal to:

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 22 - Statistics>JEE Main - 9th January 2019 Shift 1>Q 36

5

students of a class have an average height

150 c m

and variance

18 c m^{2} .

A new student, whose height is

156 c m,

joined them. The variance

(i n c m^{2})

of the height of these six students is:

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 22 - Statistics>JEE Main - 9th January 2019 Shift 2>Q 37

A data consists of

n

observations:

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

\sum_{i = 1}^{n} {(x_{i} + 1)}^{2} = 9 n

and

\sum_{i = 1}^{n} {(x_{i} - 1)}^{2} = 5 n

, then the standard deviation of this data is

If the variance of the first n natural numbers is 10 and the variance of the first m even natural numbers is 16, then the value of m+n is equal to

Important Questions on Statistics

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If the variance of the first $n$ natural numbers is $10$ and the variance of the first $m$ even natural numbers is $16,$ then the value of $m + n$ is equal to