Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 20 - Statistics>Target Exercises>Q 43

MEDIUM

JEE Advanced

IMPORTANT

Earn 100

For a series, the information available is $n = 10$ , $Σ x = 60$ and $Σ x^{2} = 1000 .$ The standard deviation is

50% studentsanswered this correctly

Important Questions on Statistics

MEDIUM

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 20 - Statistics>Target Exercises>Q 44

The sum of

10

items is

12

and sum of their squares is

18

, then the standard deviation will be

MEDIUM

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 20 - Statistics>Target Exercises>Q 45

The variance of

6, 8, 10, 12, 14

is

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JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 20 - Statistics>Target Exercises>Q 46

The mean and standard deviation of

1, 2, 3, 4, 5, 6

are

EASY

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 20 - Statistics>Target Exercises>Q 48

The standard deviation of certain data is

4

. Then, their variance is

EASY

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 20 - Statistics>Target Exercises>Q 49

The standard deviation of

- 1, - 2, - 3, - 4, - 5, - 6, - 7

is

HARD

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 20 - Statistics>Target Exercises>Q 50

The mean and

S . D

of the marks of

200

candidates were found to be

40

and

15

respectively. Later, it was discovered that a score of

40

was wrongly read as

50

. The correct mean and

S . D

respectively are

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JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 20 - Statistics>Target Exercises>Q 51

Suppose values taken by a variable

x

are such that

a \leq x_{i} \leq b

, where

x_{i}

denotes the value of

x

in the

i^{t h}

case for

i = 1, 2, 3, \dots, n

. Then,

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JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 20 - Statistics>Target Exercises>Q 52

Let

r

be the range and

S^{2} = \frac{1}{n - 1} \sum_{i = 1}^{n} {(x_{i} - \bar{x})}^{2}

be the

S D

of a set of observations

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

, then