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(English Medium) ICSE Class 9 - CISCE Question Bank Solutions

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Fill in the blank in the following table:

Class interval Frequency Cumulative Frequency
25 - 34 ...... 15
35 - 44 ...... 28
45 - 54 21 ......
55 - 64 16 ......
65 - 74 ...... 73
75 - 84 12 ......
[18] Statistics
Chapter: [18] Statistics
Concept: undefined >> undefined

Given below are the marks obtained by 30 students in an examination:

08 17 33 41 47 23 20 34
09 18 42 14 30 19 29 11
36 48 40 24 22 02 16 21
15 32 47 44 33 01    

Taking class intervals 1-10, 11-20, ....., 41-50; make a frequency table for the above distribution.

[18] Statistics
Chapter: [18] Statistics
Concept: undefined >> undefined

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Construct the frequency distribution table from the following cumulative frequency table:

Ages No. of students
Below 4 0
Below 7 85
Below 10 140
Below 13 243
Below 16 300

(i) State the number of students in the age group 10 - 13.
(ii) State the age-group which has the least number of students.

[18] Statistics
Chapter: [18] Statistics
Concept: undefined >> undefined

Construct a frequency table from the following data:

Marks No. of students
less than 10 6
less than 20 15
less than 30 30
less than 40 39
less than 50 53
less than 60 70
[18] Statistics
Chapter: [18] Statistics
Concept: undefined >> undefined

Construct a frequency distribution table from the following cumulative frequency distribution:

Class Interval Cumulative Frequency
10 - 19 8
20 - 29 19
30- 39 23
40- 49 30
[18] Statistics
Chapter: [18] Statistics
Concept: undefined >> undefined

Construct a cumulative frequency distribution table from the frequency table given below:
( i )

Class Interval Frequency
0 - 8  9
8 - 16  13
16 - 24  12
24 - 32  7
32 - 40  15

( ii )

Class Interval  Frequency 
1 - 10  12
11 - 20 18
21 - 30 23
31 - 40 15
41 - 50 10
[18] Statistics
Chapter: [18] Statistics
Concept: undefined >> undefined

Construct a cumulative frequency distribution table from the frequency table given below:

Class Interval Frequency
0 -8 9
8 - 16 13
16 - 24 12
24 - 32 7
32 - 40  15
[18] Statistics
Chapter: [18] Statistics
Concept: undefined >> undefined

The marks of 24 candidates in the subject mathematics are given below:

45 48 15 23 30 35 40 11
29 0 3 12 48 50 18 30
15 30 11 42 23 2 3 44

The maximum marks are 50. Make a frequency distribution taking class intervals 0 - 10, 10-20, .......

[18] Statistics
Chapter: [18] Statistics
Concept: undefined >> undefined

Given below are the marks obtained by 30 students in an examination:

08

17

33

41

47

23

20

34

09

18

42

14

30

19

29

11

36

48

40

24

22

02

16

21

15

32

47

44

33

01

   

Taking class intervals 1 - 10, 11 - 20, ....., 41 - 50; make a frequency table for the above distribution.

[18] Statistics
Chapter: [18] Statistics
Concept: undefined >> undefined

Construct a cumulative frequency distribution table from the frequency table given below:

Class Interval Frequency
1 - 10 12
11 - 20 18
21 - 30 23
31 - 40 15
41 - 50 10
[18] Statistics
Chapter: [18] Statistics
Concept: undefined >> undefined

Construct a frequency distribution table from the following cumulative frequency distribution:

C.I C.F
5 - 10  18
10 - 15 30
15 - 20 46
20 - 25 73
25 - 30  90
[18] Statistics
Chapter: [18] Statistics
Concept: undefined >> undefined

The diameter of a circle is 28 cm.
Find its :
(i) Circumference
(ii) Area.

[20] Area and Perimeter of Plane Figures
Chapter: [20] Area and Perimeter of Plane Figures
Concept: undefined >> undefined

A metal wire, when bent in the form of an equilateral triangle of largest area, encloses an area of 484 `sqrt3` cm2. If the same wire is bent into the form of a circle of largest area, find the area of this circle.

[20] Area and Perimeter of Plane Figures
Chapter: [20] Area and Perimeter of Plane Figures
Concept: undefined >> undefined

The circumference of a circular field is 308 m. Find is:
(i) Radius
(ii) Area.

[20] Area and Perimeter of Plane Figures
Chapter: [20] Area and Perimeter of Plane Figures
Concept: undefined >> undefined

The sum of the circumference and diameter of a circle is 116 cm. Find its radius. 

[20] Area and Perimeter of Plane Figures
Chapter: [20] Area and Perimeter of Plane Figures
Concept: undefined >> undefined

The radii of two circles are 25 cm and 18 cm. Find the radius of the circle which has a circumference equal to the sum of circumferences of these two circles. 

[20] Area and Perimeter of Plane Figures
Chapter: [20] Area and Perimeter of Plane Figures
Concept: undefined >> undefined

The cost of fencing a circular field at the rate of ₹ 240 per meter is ₹ 52,800. The field is to be ploughed at the rate of ₹ 12.50 per m2. Find the cost of pouching the field.

[20] Area and Perimeter of Plane Figures
Chapter: [20] Area and Perimeter of Plane Figures
Concept: undefined >> undefined

The radii of two circles are 48 cm and 13 cm. Find the area of the circle which has its circumference equal to the difference of the circumferences of the given two circles.

[20] Area and Perimeter of Plane Figures
Chapter: [20] Area and Perimeter of Plane Figures
Concept: undefined >> undefined

In the given figure, the area of the shaded portion is 770 cm2. If the circumference of the outer circle is 132 cm, find the width of the shaded portion.

[20] Area and Perimeter of Plane Figures
Chapter: [20] Area and Perimeter of Plane Figures
Concept: undefined >> undefined

The radius of a circle is 5 m. Find the circumference of the circle whose area is 49 times the area of the given circle.

[20] Area and Perimeter of Plane Figures
Chapter: [20] Area and Perimeter of Plane Figures
Concept: undefined >> undefined
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