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If $Σ x_{i} = 20, Σ x_{i}^{2} = 200$ and $n = 10$ for an observed variable $x,$ then what is the coefficient of variation?

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Important Questions on Statistics

EASY

NDA & NA EE

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 31 - Statistics>NDA & NA EE 2020 Mathematics>Q 7

The arithmetic mean of

100

observations is

40 .

Later, it was found that an observation

53

was wrongly read as

83

. What is the correct arithmetic mean?

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NDA & NA EE

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 31 - Statistics>NDA & NA EE 2020 Mathematics>Q 8

Let

X

and

Y

represent prices (in

₹

) of a commodity in Kolkata and Mumbai respectively. It is given that

\bar{X} = 65, \bar{Y} = 67, σ_{X} = 25, σ_{Y} = 3.5

and

r (X, Y) = 0.8 .

What is the equation of regression of

Y

X ?

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NDA & NA EE

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 31 - Statistics>NDA & NA EE 2019 Paper 2 Mathematics>Q 9

The median of the observations

22

24, 33, 37, x + 1, x + 3, 46, 47, 57, 58

in ascending order is

42 .

What are the values of

5^{th} & 6^{th}

observations respectively?

MEDIUM

NDA & NA EE

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 31 - Statistics>NDA & NA EE 2019 Paper 2 Mathematics>Q 10

Arithmetic mean of

10

observations is

60

and sum of squares of deviations from

50

5000 .

What is the standard deviation of the observations?

HARD

NDA & NA EE

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 31 - Statistics>NDA & NA EE 2019 Paper 2 Mathematics>Q 11

For the variables $x$ and $y,$ the two regression lines are $6 x + y = 30$ and $3 x + 2 y = 25 .$ What are the values of $\bar{x}, \bar{y}$ and $r$ respectively?

HARD

NDA & NA EE

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 31 - Statistics>NDA & NA EE 2019 Paper 2 Mathematics>Q 12

The class marks in a frequency table are given to be

5, 10, 15, 20, 25, 30, 35, 40, 45, 50 .

The class limits of the first five classes are

EASY

NDA & NA EE

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 31 - Statistics>NDA & NA EE 2019 Paper 2 Mathematics>Q 13

The mean of

5

observations is

4.4

and variance is

8.24 .

If three of the five observations are

1, 2

and

6,

then what are the other two observations?

EASY

NDA & NA EE

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 31 - Statistics>NDA & NA EE 2019 Paper 2 Mathematics>Q 14

Consider the following discrete frequency distribution.

$x$	$1$	$2$	$3$	$4$	$5$	$6$	$7$	$8$
$f$	$3$	$15$	$45$	$57$	$50$	$36$	$25$	$9$

What is the value of median of the distribution?

If Σxi=20, Σxi2=200 and n=10 for an observed variable x, then what is the coefficient of variation?

Important Questions on Statistics

Learn and Prepare for any exam you want !

If $Σ x_{i} = 20, Σ x_{i}^{2} = 200$ and $n = 10$ for an observed variable $x,$ then what is the coefficient of variation?