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Arts (English Medium) Class 11 - CBSE Question Bank Solutions for Mathematics

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Find the mean deviation about the mean for the data.

xi 10 30 50 70 90
fi 4 24 28 16 8
[13] Statistics
Chapter: [13] Statistics
Concept: undefined >> undefined

Find the mean deviation about the median for the data.

xi 5 7 9 10 12 15
fi 8 6 2 2 2 6
[13] Statistics
Chapter: [13] Statistics
Concept: undefined >> undefined

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Find the mean deviation about the median for the data.

xi 15 21 27 30 35
fi 3 5 6 7 8
[13] Statistics
Chapter: [13] Statistics
Concept: undefined >> undefined

Find the mean deviation about the mean for the data.

Income per day in ₹ Number of persons
0-100 4
100-200 8
200-300 9
300-400 10
400-500 7
500-600 5
600-700 4
700-800 3
[13] Statistics
Chapter: [13] Statistics
Concept: undefined >> undefined

Find the mean deviation about the mean for the data.

Height in cms Number of boys
95 - 105 9
105 - 115 13
115 - 125 26
125 - 135 30
135 - 145 12
145 - 155 10
[13] Statistics
Chapter: [13] Statistics
Concept: undefined >> undefined

Find the mean deviation about median for the following data:

Marks Number of girls
0-10 6
10-20 8
20-30 14
30-40 16
40-50 4
50-60 2
[13] Statistics
Chapter: [13] Statistics
Concept: undefined >> undefined

Calculate the mean deviation about median age for the age distribution of 100 persons given below:

Age Number
16 - 20 5
21 - 25 6
26 - 30 12
31 - 35 14
36 - 40 26
41 - 45 12
46 - 50 16
51 - 55 9
[13] Statistics
Chapter: [13] Statistics
Concept: undefined >> undefined

Which of the following sets are finite and which are infinite? 

Set of concentric circles in a plane

[1] Sets
Chapter: [1] Sets
Concept: undefined >> undefined

Which of the following sets are finite and which are infinite? 

 Set of letters of the English Alphabets 

[1] Sets
Chapter: [1] Sets
Concept: undefined >> undefined

Which of the following sets are finite and which are infinite? 

{x ∈ N : x > 5}

[1] Sets
Chapter: [1] Sets
Concept: undefined >> undefined

Which of the following sets are finite and which are infinite? 

 {x = ∈ N : x < 200}

[1] Sets
Chapter: [1] Sets
Concept: undefined >> undefined

Which of the following sets are finite and which are infinite?

{x ∈ Z : x < 5}; 

[1] Sets
Chapter: [1] Sets
Concept: undefined >> undefined

Which of the following sets are finite and which are infinite? 

 {x ∈ R : 0 < x < 1}.

[1] Sets
Chapter: [1] Sets
Concept: undefined >> undefined

Compute: 

(i)\[\frac{30!}{28!}\]

[6] Permutations and Combinations
Chapter: [6] Permutations and Combinations
Concept: undefined >> undefined

Compute:

\[\frac{11! - 10!}{9!}\]
[6] Permutations and Combinations
Chapter: [6] Permutations and Combinations
Concept: undefined >> undefined

Compute:

 L.C.M. (6!, 7!, 8!)

[6] Permutations and Combinations
Chapter: [6] Permutations and Combinations
Concept: undefined >> undefined

Prove that

\[\frac{1}{9!} + \frac{1}{10!} + \frac{1}{11!} = \frac{122}{11!}\]
[6] Permutations and Combinations
Chapter: [6] Permutations and Combinations
Concept: undefined >> undefined

Which of the following statements are true? Give reason to support your answer.
(i) For any two sets A and B either \[A \subseteq B o\text{ or } B \subseteq A;\]

[1] Sets
Chapter: [1] Sets
Concept: undefined >> undefined

In a class there are 27 boys and 14 girls. The teacher wants to select 1 boy and 1 girl to represent the class in a function. In how many ways can the teacher make this selection?

[6] Permutations and Combinations
Chapter: [6] Permutations and Combinations
Concept: undefined >> undefined

Which of the following statements are true? Give reason to support your answer. 

Every subset of an infinite set is infinite 

[1] Sets
Chapter: [1] Sets
Concept: undefined >> undefined
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