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IMPORTANT

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If the mean and the standard deviation of the data $3, 5, 7, a, b$ are $5$ and $2$ respectively, then $a$ and $b$ are the roots of the equation:

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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 - 6 September 2020 Shift 1>Q 28

Σ_{i = 1}^{n} (x_{i} - a) = n

and

Σ_{i = 1}^{n} {(x_{i} - a)}^{2} = n a, (n, a > 1)

, then the standard deviation of

n

observations

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

HARD

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 22 - Statistics>JEE Main - 7th January 2020 Shift 1>Q 29

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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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

MEDIUM

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:

If the mean and the standard deviation of the data 3,5,7, a, b are 5 and 2 respectively, then a and b are the roots of the equation:

Important Questions on Statistics

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If the mean and the standard deviation of the data $3, 5, 7, a, b$ are $5$ and $2$ respectively, then $a$ and $b$ are the roots of the equation: