EduSahara™ Worksheet

Question 1

1.

(i)

17
(ii)

13
(iii)

12
(iv)

15
(v)

14

Question 2

2.

(i)

51
(ii)

50
(iii)

54
(iv)

52
(v)

48

Question 3

3.

(i)

7
(ii)

6
(iii)

5
(iv)

4
(v)

2

Question 4

4.

(i)

85
4
(ii)

41
2
(iii)

43
2
(iv)

45
2
(v)

22

Question 5

5.

(i)

117
4
(ii)

30
(iii)

61
2
(iv)

59
2
(v)

57
2

Question 6

6.

If the upper and lower limit of class interval are 39 and 36 respectively, then the class interval is

(i)

36

-

39.5
(ii)

35.5

-

39
(iii)

36

-

39
(iv)

35.5

-

39.5
(v)

36.5

-

38.5

Question 7

7.

If the lower and upper limit of class interval are 46 and 55 respectively, then the class interval is

(i)

46

-

55
(ii)

46

-

55.5
(iii)

45.5

-

55
(iv)

46.5

-

54.5
(v)

45.5

-

55.5

Question 8

8.

The class boundaries of 26 - 34 which is in exclusive form are

(i)

25.5

-

34.5
(ii)

26

-

34
(iii)

26

-

34.5
(iv)

25.5

-

34
(v)

26.5

-

33.5

Question 9

9.

The class boundaries of 44 - 47 which is in inclusive form are

(i)

43.5

-

48
(ii)

43.5

-

47.5
(iii)

43

-

48
(iv)

44

-

47
(v)

43

-

47.5

Question 10

10.

Convert the exclusive form of the class interval 18.5 - 24.5 to inclusive form

(i)

18.5

-

24.5
(ii)

19.5

-

23.5
(iii)

18.5

-

24
(iv)

19

-

24
(v)

19

-

24.5

Question 11

11.

Convert the inclusive form of the class interval 39 - 46 to exclusive form

(i)

38

-

47
(ii)

38.5

-

47
(iii)

38.5

-

46.5
(iv)

39

-

46
(v)

38

-

46.5

Question 12

12.

Convert the discontinuous form of the class interval 38 - 48 to continuous form

(i)

37

-

48.5
(ii)

37

-

49
(iii)

37.5

-

48.5
(iv)

37.5

-

49
(v)

38

-

48

Question 13

13.

Convert the continuous form of the class interval 46.5 - 49.5 to discontinuous form

(i)

47

-

49.5
(ii)

46.5

-

49.5
(iii)

46.5

-

49
(iv)

47

-

49
(v)

47.5

-

48.5

Question 14

14.

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

20 - 29

30 - 39

40 - 49

50 - 59

60 - 69

Frequency

24

2

3

18

12

(i)

9
(ii)

10
(iii)

12
(iv)

7
(v)

11

Question 15

15.

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

39 - 44

44 - 49

49 - 54

54 - 59

Frequency

26

30

20

29

(i)

5
(ii)

6
(iii)

4
(iv)

2
(v)

8

Question 16

16.

Which of the following are true?

a)	The true lower limit of the inclusive form class interval 20 - 30 is 20.
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 20 - 30 is 20.
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,b,e}
(ii)

{a,c,d}
(iii)

{c,d,e}
(iv)

{b,d}
(v)

{a,c}

Question 17

17.

Which of the following class intervals are in inclusive form?

a)	25 - 31 , 32 - 38 , 39 - 45,...
b)	43 - 49 , 49 - 55 , 55 - 61...
c)	46 - 52 , 53 - 59 , 60 - 66,...
d)	25 - 31 , 31 - 37 , 37 - 43,...
e)	24.5 - 31.5 , 31.5 - 38.5 , 38.5 - 45.5...

(i)

{d,c,a}
(ii)

{b,a}
(iii)

{a,c}
(iv)

{d,c}
(v)

{e,b,a}

Question 18

18.

In inclusive form representation, the observation
40
falls in which class?

(i)

41

-

50
(ii)

30

-

40
(iii)

29

-

39
(iv)

20

-

30
(v)

25

-

35

Question 19

19.

In exclusive form representation, the observation
10
falls in which class?

(i)

0

-

10
(ii)

5

-

10
(iii)

10

-

20
(iv)

20

-

30
(v)

15

-

25

Question 20

20.

The class mark of the class with frequency x is

Class-Interval

Frequency

16 - 26

12

27 - 37

4

38 - 48

x

49 - 59

18

60 - 70

9

(i)

42
(ii)

40
(iii)

43
(iv)

44
(v)

46

Question 21

21.

The class mark of the class with frequency x is

Class-Interval

Frequency

17 - 22

30

22 - 27

x

27 - 32

27

32 - 37

18

37 - 42

30

(i)

25
(ii)

97
4
(iii)

51
2
(iv)

49
2
(v)

47
2

Question 22

22.

The mid value of the class with frequency x is

Class-Interval

Frequency

17 - 27

19

28 - 38

16

39 - 49

22

50 - 60

27

61 - 71

x

(i)

69
(ii)

66
(iii)

65
(iv)

67
(v)

64

Question 23

23.

The mid value of the class with frequency x is

Class-Interval

Frequency

8 - 13

3

13 - 18

16

18 - 23

10

23 - 28

18

28 - 33

x

(i)

121
4
(ii)

31
(iii)

61
2
(iv)

63
2
(v)

59
2

Question 24

24.

The class boundaries of the class with frequency x is

Class-Interval

Frequency

43 - 50

21

51 - 58

18

59 - 66

28

67 - 74

x

75 - 82

4

(i)

66.5

-

75
(ii)

66

-

75
(iii)

66.5

-

74.5
(iv)

66

-

74.5
(v)

67

-

74

Question 25

25.

The class boundaries of the class with frequency x is

Class-Interval

Frequency

48 - 55

23

55 - 62

12

62 - 69

x

69 - 76

5

76 - 83

18

(i)

61.5

-

69.5
(ii)

62.5

-

68.5
(iii)

62

-

69
(iv)

61.5

-

69
(v)

62

-

69.5

Question 26

26.

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

Class-Interval

Frequency

40 - 45

20

46 - 51

10

52 - 57

5

58 - 63

x

64 - 69

17

(i)

57.5

-

63.5
(ii)

57.5

-

64
(iii)

57

-

63.5
(iv)

58

-

63
(v)

57

-

64

Question 27

27.

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

Class-Interval

Frequency

25 - 31

11

31 - 37

2

37 - 43

24

43 - 49

x

49 - 55

26

(i)

42.5

-

49
(ii)

43.5

-

48.5
(iii)

42.5

-

49.5
(iv)

43

-

49
(v)

43

-

49.5

Question 28

28.

The lower limit of the class with frequency x is

Class-Interval

Frequency

46 - 55

13

56 - 65

x

66 - 75

25

76 - 85

17

86 - 95

4

(i)

56
(ii)

59
(iii)

57
(iv)

55
(v)

53

Question 29

29.

The upper limit of the class with frequency x is

Class-Interval

Frequency

27 - 34

28

34 - 41

26

41 - 48

10

48 - 55

x

55 - 62

5

(i)

54
(ii)

56
(iii)

55
(iv)

57
(v)

53

Question 30

30.

If the sample data with range 60 has to be divided into 4 class intervals, then the length of the class is

(i)

15
(ii)

17
(iii)

13
(iv)

16
(v)

14

Question 31

31.

If the length of the class is 9, then the number of class intervals needed to represent data with range 50 is

(i)

5
(ii)

9
(iii)

7
(iv)

6
(v)

3

Question 32

32.

If some random sample data is arranged in a frequency distribution table in
inclusive form
with
1
-
10
as the first class,
then the observation
28
falls in which class?

(i)

22

-

31
(ii)

21

-

30
(iii)

21.5

-

29.5
(iv)

20.5

-

30.5
(v)

20

-

29

Question 33

33.

If some random sample data is arranged in a frequency distribution table in
exclusive form
with
1
-
9
as the first class,
then the observation
28
falls in which class?

(i)

25.5

-

32.5
(ii)

25

-

33
(iii)

26

-

34
(iv)

24.5

-

33.5
(v)

24

-

32

Question 34

34.

Find the sum of frequencies for the given table

Value

10

14

16

23

25

26

42

56

68

90

Frequency

1

1

1

1

1

1

1

1

1

1

(i)

11
(ii)

13
(iii)

9
(iv)

10
(v)

7

Question 35

35.

Given class interval table, find the sum of frequencies.

Class-Interval

31 - 41

42 - 52

53 - 63

64 - 74

75 - 85

Frequency

23

16

20

17

30

(i)

106
(ii)

107
(iii)

104
(iv)

105
(v)

108

Question 36

36.

Given class interval table, find the sum of frequencies.

Class-Interval

33 - 42

42 - 51

51 - 60

60 - 69

69 - 78

78 - 87

87 - 96

Frequency

19

2

18

23

24

1

24

(i)

111
(ii)

112
(iii)

110
(iv)

114
(v)

109

Question 37

37.

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

Class-Interval

14 - 24

25 - 35

36 - 46

47 - 57

58 - 68

Frequency

22

24

33

15

27

(i)

Class-Interval

13.5 - 23.5

24.5 - 34.5

35.5 - 45.5

46.5 - 56.5

57.5 - 67.5

Frequency

22

24

33

15

27
(ii)

Class-Interval

14.5 - 24.5

25.5 - 35.5

36.5 - 46.5

47.5 - 57.5

58.5 - 68.5

Frequency

22

24

33

15

27
(iii)

Class-Interval

14 - 24

24 - 34

34 - 44

44 - 54

54 - 64

Frequency

10

42

23

39

29
(iv)

Class-Interval

13.5 - 24.5

24.5 - 35.5

35.5 - 46.5

46.5 - 57.5

57.5 - 68.5

Frequency

22

24

33

15

27
(v)

Class-Interval

13.5 - 24

24.5 - 35

35.5 - 46

46.5 - 57

57.5 - 68

Frequency

22

24

33

15

27

Question 38

38.

Which of the following class intervals are in exclusive form?

a)	24 - 31 , 32 - 39 , 40 - 47,...
b)	24 - 31 , 31 - 38 , 38 - 45,...
c)	45 - 52 , 52 - 59 , 59 - 66...
d)	23.5 - 31.5 , 31.5 - 39.5 , 39.5 - 47.5...
e)	48 - 55 , 56 - 63 , 64 - 71,...

(i)

{b,c,d}
(ii)

{e,c}
(iii)

{a,e,d}
(iv)

{a,b,c}
(v)

{a,b}

Question 39

39.

A histogram consists of

(i)

squares
(ii)

rectangles
(iii)

sectors
(iv)

triangles

Question 40

40.

The width of the rectangles in a histogram represents

(i)

mid values of the class
(ii)

class interval
(iii)

frequency of the class
(iv)

number of classes

Question 41

41.

In a histogram

(i)

the width 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 lengths of all rectangles are equal

Question 42

42.

The frequency polygon is one drawn using

(i)

upper boundaries of classes and cumulative frequencies
(ii)

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

mid point of classes and frequencies
(iv)

end points of classes and frequencies

Question 43

43.

Less than cumulative curves are drawn using

(i)

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

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

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

lower boundaries of classes and greater than cumulative frequencies

Question 44

44.

Greater than cumulative curves are drawn using

(i)

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

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

mid values of classes and greater than cumulative frequencies
(iv)

lower boundaries of classes and greater than cumulative frequencies

Assignment Key