MEDIUM

JEE Main

IMPORTANT

Earn 100

If the mean and variance of six observations $7, 10, 11, 15, a, b$ are $10$ and $\frac{20}{3},$ respectively, then the value of $| a - b |$ is equal to:

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Important Questions on Statistics

EASY

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 22 - Statistics>JEE Main - 22 July 2021 Shift 1>Q 9

Consider the following frequency distribution:

Class:	$0 - 6$	$6 - 12$	$12 - 18$	$18 - 24$	$24 - 30$
Frequency:	$a$	$b$	$12$	$9$	$5$

If mean $= \frac{309}{22}$ and median $= 14,$ then the value $(a - b)^{2}$ is equal to

EASY

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 22 - Statistics>JEE Main - 25 July 2021 Shift 1>Q 10

Consider the following frequency distribution :

class	$10 - 20$	$20 - 30$	$30 - 40$	$40 - 50$	$50 - 60$
Frequency	$α$	$110$	$54$	$30$	$β$

If the sum of all frequencies is $584$ and median is $45$ , then $| α - β |$ is equal to .

HARD

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 22 - Statistics>JEE Main - 25 July 2021 Shift 2>Q 11

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:

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 22 - Statistics>JEE Main - 27 July 2021 Shift 1>Q 12

If the mean and variance of the following data:

6, 10, 7, 13, a, 12, b, 12

are

9

and

\frac{37}{4}

respectively, then

{(a - b)}^{2}

is equal to:

EASY

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 22 - Statistics>JEE Main - 27 July 2021 Shift 2>Q 13

Let the mean and variance of the frequency distribution

$x :$	$x_{1} = 2$	$x_{2} = 6$	$x_{3} = 8$	$x_{4} = 9$
$f :$	$4$	$4$	$α$	$β$

be $6$ and $6.8$ respectively. If $x_{3}$ is changed from $8$ to $7,$ then the mean for the new data will be:

EASY

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 22 - Statistics>JEE Main 16 March 2021 Shift 1>Q 14

Consider three observations

a, b

and

c

such that

b = a + c

. If the standard deviation of

a + 2, b + 2, c + 2

d

, then which of the following is true?

HARD

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 22 - Statistics>JEE Main 16 March 2021 Shift 2>Q 15

Consider the statistics of two sets of observations as follows:

	Size	Mean	Variance
Observation I	$10$	$2$	$2$
Observation II	$n$	$3$	$1$

If the variance of the combined set of these two observations is $\frac{17}{9},$ then the value of $n$ is equal to ________.

HARD

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 22 - Statistics>JEE Main 17 March 2021 Shift 2>Q 16

Consider a set of

3 n

numbers having variance

4 .

In this set, the mean of first

2 n

numbers is

6

and the mean of the remaining

n

numbers is

3 .

A new set is constructed by adding

1

into each of the first

2 n

numbers, and subtracting

1

from each of the remaining

n

numbers. If the variance of the new set is

k,

then

9 k

is equal to ______.

If the mean and variance of six observations 7,10,11,15,a,b are 10 and 203, respectively, then the value of |a-b| is equal to:

Important Questions on Statistics

Learn and Prepare for any exam you want !

If the mean and variance of six observations $7, 10, 11, 15, a, b$ are $10$ and $\frac{20}{3},$ respectively, then the value of $| a - b |$ is equal to: