EduSahara™ Worksheet

Question 1

1.

(i)

18
(ii)

17
(iii)

20
(iv)

19
(v)

16

Question 2

2.

(i)

37
(ii)

36
(iii)

40
(iv)

38
(v)

39

Question 3

3.

(i)

8
(ii)

13
(iii)

9
(iv)

11
(v)

10

Question 4

4.

(i)

49
(ii)

52
(iii)

50
(iv)

53
(v)

51

Question 5

5.

(i)

31
(ii)

33
(iii)

30
(iv)

29
(v)

28

Question 6

6.

If the upper and lower limit of class interval are 24 and 16 respectively, then the class interval is

(i)

15.5

-

24.5
(ii)

16.5

-

23.5
(iii)

15.5

-

24
(iv)

16

-

24
(v)

16

-

24.5

Question 7

7.

If the lower and upper limit of class interval are 21 and 27 respectively, then the class interval is

(i)

21.5

-

26.5
(ii)

20.5

-

27.5
(iii)

21

-

27
(iv)

20.5

-

27
(v)

21

-

27.5

Question 8

8.

The class boundaries of 19 - 29 which is in exclusive form are

(i)

19

-

29.5
(ii)

18.5

-

29
(iii)

18.5

-

29.5
(iv)

19.5

-

28.5
(v)

19

-

29

Question 9

9.

The class boundaries of 22 - 29 which is in inclusive form are

(i)

21.5

-

29.5
(ii)

22

-

29
(iii)

21

-

30
(iv)

21.5

-

30
(v)

21

-

29.5

Question 10

10.

Convert the exclusive form of the class interval 10.5 - 14.5 to inclusive form

(i)

11

-

14.5
(ii)

11.5

-

13.5
(iii)

10.5

-

14
(iv)

11

-

14
(v)

10.5

-

14.5

Question 11

11.

Convert the inclusive form of the class interval 11 - 20 to exclusive form

(i)

10.5

-

20.5
(ii)

10

-

20.5
(iii)

11

-

20
(iv)

10

-

21
(v)

10.5

-

21

Question 12

12.

Convert the discontinuous form of the class interval 35 - 45 to continuous form

(i)

35

-

45
(ii)

34.5

-

46
(iii)

34

-

46
(iv)

34.5

-

45.5
(v)

34

-

45.5

Question 13

13.

Convert the continuous form of the class interval 20.5 - 25.5 to discontinuous form

(i)

21

-

25.5
(ii)

21.5

-

24.5
(iii)

20.5

-

25
(iv)

20.5

-

25.5
(v)

21

-

25

Question 14

14.

The class size used in the below table is
Class-Interval

33 - 39

40 - 46

47 - 53

54 - 60

61 - 67

68 - 74

75 - 81

Frequency

16

24

19

24

9

24

14

(i)

10
(ii)

6
(iii)

7
(iv)

8
(v)

4

Question 15

15.

The class size used in the below table is
Class-Interval

39 - 47

47 - 55

55 - 63

63 - 71

71 - 79

79 - 87

87 - 95

Frequency

11

24

29

27

16

22

9

(i)

8
(ii)

5
(iii)

7
(iv)

11
(v)

9

Question 16

16.

Which of the following are true?

a)	The true lower limit of the inclusive form class interval 30 - 40 is 30.
b)	The difference between the true upper limit and true lower limit is called the class mark.
c)	The true lower limit of the exclusive form class interval 30 - 40 is 30.
d)	The number of times a particular observation occurs is called its frequency.
e)	Each numerical figure in a data set is called an observation.

(i)

{a,c}
(ii)

{b,d}
(iii)

{a,b,e}
(iv)

{c,d,e}
(v)

{a,c,d}

Question 17

17.

Which of the following class intervals are in inclusive form?

a)	40 - 49 , 50 - 59 , 60 - 69,...
b)	10 - 19 , 19 - 28 , 28 - 37,...
c)	9.5 - 19.5 , 19.5 - 29.5 , 29.5 - 39.5...
d)	37 - 46 , 46 - 55 , 55 - 64...
e)	10 - 19 , 20 - 29 , 30 - 39,...

(i)

{d,b,a}
(ii)

{c,e,a}
(iii)

{c,e}
(iv)

{a,e}
(v)

{b,a}

Question 18

18.

In inclusive form representation, the observation
35
falls in which class?

(i)

25

-

35
(ii)

20

-

30
(iii)

15

-

25
(iv)

24

-

34
(v)

36

-

45

Question 19

19.

In exclusive form representation, the observation
38
falls in which class?

(i)

38

-

48
(ii)

48

-

58
(iii)

33

-

38
(iv)

43

-

53
(v)

28

-

38

Question 20

20.

The class mark of the class with frequency x is

Class-Interval

Frequency

5 - 10

16

11 - 16

22

17 - 22

x

23 - 28

4

29 - 34

6

(i)

41
2
(ii)

37
2
(iii)

77
4
(iv)

20
(v)

39
2

Question 21

21.

The class mark of the class with frequency x is

Class-Interval

Frequency

19 - 24

17

24 - 29

x

29 - 34

11

34 - 39

14

39 - 44

13

(i)

51
2
(ii)

105
4
(iii)

27
(iv)

55
2
(v)

53
2

Question 22

22.

The mid value of the class with frequency x is

Class-Interval

Frequency

10 - 20

16

21 - 31

7

32 - 42

x

43 - 53

23

54 - 64

20

(i)

36
(ii)

39
(iii)

34
(iv)

37
(v)

38

Question 23

23.

The mid value of the class with frequency x is

Class-Interval

Frequency

10 - 20

12

20 - 30

x

30 - 40

19

40 - 50

9

50 - 60

10

(i)

24
(ii)

22
(iii)

25
(iv)

27
(v)

26

Question 24

24.

The class boundaries of the class with frequency x is

Class-Interval

Frequency

42 - 49

5

50 - 57

10

58 - 65

x

66 - 73

11

74 - 81

5

(i)

58

-

65
(ii)

57

-

65.5
(iii)

57

-

66
(iv)

57.5

-

65.5
(v)

57.5

-

66

Question 25

25.

The class boundaries of the class with frequency x is

Class-Interval

Frequency

16 - 22

30

22 - 28

16

28 - 34

29

34 - 40

1

40 - 46

x

(i)

39.5

-

46.5
(ii)

39.5

-

46
(iii)

40

-

46
(iv)

40

-

46.5
(v)

40.5

-

45.5

Question 26

26.

The true lower limit and true upper limit of the class with frequency x is

Class-Interval

Frequency

22 - 28

23

29 - 35

21

36 - 42

11

43 - 49

14

50 - 56

x

(i)

49

-

57
(ii)

50

-

56
(iii)

49.5

-

57
(iv)

49.5

-

56.5
(v)

49

-

56.5

Question 27

27.

The true lower limit and true upper limit of the class with frequency x is

Class-Interval

Frequency

44 - 50

x

50 - 56

17

56 - 62

14

62 - 68

24

68 - 74

10

(i)

43.5

-

50
(ii)

43.5

-

50.5
(iii)

44.5

-

49.5
(iv)

44

-

50
(v)

44

-

50.5

Question 28

28.

The lower limit of the class with frequency x is

Class-Interval

Frequency

28 - 34

15

35 - 41

20

42 - 48

x

49 - 55

20

56 - 62

23

(i)

40
(ii)

42
(iii)

43
(iv)

41
(v)

44

Question 29

29.

The upper limit of the class with frequency x is

Class-Interval

Frequency

38 - 48

12

48 - 58

x

58 - 68

25

68 - 78

26

78 - 88

7

(i)

57
(ii)

61
(iii)

59
(iv)

58
(v)

56

Question 30

30.

If the sample data with range 70 has to be divided into 8 class intervals, then the length of the class is

(i)

9
(ii)

10
(iii)

8
(iv)

7
(v)

11

Question 31

31.

If the length of the class is 7, then the number of class intervals needed to represent data with range 50 is

(i)

8
(ii)

10
(iii)

5
(iv)

7
(v)

9

Question 32

32.

If some random sample data is arranged in a frequency distribution table in
inclusive form
with
2
-
10
as the first class,
then the observation
23
falls in which class?

(i)

21

-

29
(ii)

19

-

27
(iii)

20

-

28
(iv)

19.5

-

28.5
(v)

20.5

-

27.5

Question 33

33.

If some random sample data is arranged in a frequency distribution table in
exclusive form
with
3
-
13
as the first class,
then the observation
29
falls in which class?

(i)

24

-

34
(ii)

23

-

33
(iii)

22.5

-

33.5
(iv)

23.5

-

32.5
(v)

22

-

32

Question 34

34.

Find the sum of frequencies for the given table

Value

24

42

52

56

67

68

72

80

85

Frequency

1

1

1

1

1

1

1

2

1

(i)

10
(ii)

9
(iii)

12
(iv)

8
(v)

11

Question 35

35.

Given class interval table, find the sum of frequencies.

Class-Interval

49 - 57

58 - 66

67 - 75

76 - 84

85 - 93

94 - 102

103 - 111

Frequency

15

21

23

17

6

3

10

(i)

95
(ii)

96
(iii)

94
(iv)

92
(v)

98

Question 36

36.

Given class interval table, find the sum of frequencies.

Class-Interval

40 - 45

45 - 50

50 - 55

55 - 60

Frequency

16

3

29

27

(i)

72
(ii)

74
(iii)

77
(iv)

76
(v)

75

Question 37

37.

Given table in inclusive form, convert it into exclusive form.

Class-Interval

19 - 25

26 - 32

33 - 39

40 - 46

47 - 53

Frequency

18

19

30

18

47

(i)

Class-Interval

19.5 - 25.5

26.5 - 32.5

33.5 - 39.5

40.5 - 46.5

47.5 - 53.5

Frequency

18

19

30

18

47
(ii)

Class-Interval

18.5 - 25

25.5 - 32

32.5 - 39

39.5 - 46

46.5 - 53

Frequency

18

19

30

18

47
(iii)

Class-Interval

19 - 25

25 - 31

31 - 37

37 - 43

43 - 49

Frequency

47

30

13

32

41
(iv)

Class-Interval

18.5 - 25.5

25.5 - 32.5

32.5 - 39.5

39.5 - 46.5

46.5 - 53.5

Frequency

18

19

30

18

47
(v)

Class-Interval

18.5 - 24.5

25.5 - 31.5

32.5 - 38.5

39.5 - 45.5

46.5 - 52.5

Frequency

18

19

30

18

47

Question 38

38.

Which of the following class intervals are in exclusive form?

a)	37 - 45 , 46 - 54 , 55 - 63,...
b)	34 - 42 , 42 - 50 , 50 - 58...
c)	10 - 18 , 19 - 27 , 28 - 36,...
d)	10 - 18 , 18 - 26 , 26 - 34,...
e)	9.5 - 18.5 , 18.5 - 27.5 , 27.5 - 36.5...

(i)

{a,b,d}
(ii)

{b,d,e}
(iii)

{a,c,e}
(iv)

{c,d}
(v)

{a,b}

Question 39

39.

A histogram consists of

(i)

rectangles
(ii)

triangles
(iii)

squares
(iv)

sectors

Question 40

40.

The width of the rectangles in a histogram represents

(i)

frequency of the class
(ii)

number of classes
(iii)

class interval
(iv)

mid values of the class

Question 41

41.

In a histogram

(i)

the lengths of all rectangles are equal
(ii)

the lengths and widths of all rectangles are equal
(iii)

the length and width of each rectangle are in proportion
(iv)

the width of all rectangles are equal

Question 42

42.

The frequency polygon is one drawn using

(i)

mid point of classes and frequencies
(ii)

lower boundaries of classes and greater than cumulative frequencies
(iii)

upper boundaries of classes and cumulative frequencies
(iv)

end points of classes and frequencies

Question 43

43.

Less than cumulative curves are drawn using

(i)

mid values of classes and less than cumulative frequencies
(ii)

lower boundaries of classes and greater than cumulative frequencies
(iii)

upper boundaries of classes and less than cumulative frequencies
(iv)

lower boundaries of classes and less than cumulative frequencies

Question 44

44.

Greater than cumulative curves are drawn using

(i)

lower boundaries of classes and greater than cumulative frequencies
(ii)

upper boundaries of classes and greater than cumulative frequencies
(iii)

upper boundaries of classes and less than cumulative frequencies
(iv)

mid values of classes and greater than cumulative frequencies

Assignment Key