EASY

JEE Main

IMPORTANT

Earn 100

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

50% studentsanswered this correctly

Important Questions on Statistics

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:

MEDIUM

JEE Main

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

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 22 - Statistics>JEE Main - 8th April 2019 Shift 1>Q 38

The mean and variance for seven observations are

8

and

16

respectively. If

5

of the observations are

2, 4, 10, 12, 14,

then the product of the remaining two observations is

EASY

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 22 - Statistics>JEE Main - 8th April 2019 Shift 2>Q 39

A student scores the following marks in five tests:

45,54,41,57,43

. His score is not known for the sixth test. If the mean score is

48

in the six tests, then the standard deviation of the marks in six tests is

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 22 - Statistics>JEE Main - 10th April 2019 Shift 1>Q 40

If for some $x \in R$ , the frequency distribution of the marks obtained by $20$ students in a test is:

Marks	2	3	5	7
Frequency distribution	${(x + 1)}^{2}$	$(2 x - 5)$	$x^{2} - 3 x$	$x$

Then the mean of the marks is :

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

Important Questions on Statistics

Learn and Prepare for any exam you want !

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