EduSahara™ Worksheet

Question 1

1.

(i)

36
(ii)

38
(iii)

39
(iv)

41
(v)

40

Question 2

2.

(i)

25
(ii)

27
(iii)

24
(iv)

26
(v)

23

Question 3

3.

(i)

10
(ii)

9
(iii)

7
(iv)

11
(v)

12

Question 4

4.

(i)

87
2
(ii)

173
4
(iii)

85
2
(iv)

89
2
(v)

44

Question 5

5.

(i)

40
(ii)

44
(iii)

41
(iv)

38
(v)

42

Question 6

6.

If the upper and lower limit of class interval are 29 and 19 respectively, then the class interval is

(i)

19.5

-

28.5
(ii)

19

-

29.5
(iii)

18.5

-

29.5
(iv)

19

-

29
(v)

18.5

-

29

Question 7

7.

If the lower and upper limit of class interval are 38 and 40 respectively, then the class interval is

(i)

37.5

-

40.5
(ii)

38

-

40
(iii)

37.5

-

40
(iv)

38

-

40.5
(v)

38.5

-

39.5

Question 8

8.

The class boundaries of 43 - 48 which is in exclusive form are

(i)

43.5

-

47.5
(ii)

42.5

-

48.5
(iii)

43

-

48.5
(iv)

42.5

-

48
(v)

43

-

48

Question 9

9.

The class boundaries of 16 - 23 which is in inclusive form are

(i)

15.5

-

23.5
(ii)

15.5

-

24
(iii)

15

-

23.5
(iv)

16

-

23
(v)

15

-

24

Question 10

10.

Convert the exclusive form of the class interval 18.5 - 26.5 to inclusive form

(i)

18.5

-

26
(ii)

19

-

26.5
(iii)

19

-

26
(iv)

19.5

-

25.5
(v)

18.5

-

26.5

Question 11

11.

Convert the inclusive form of the class interval 16 - 24 to exclusive form

(i)

15

-

24.5
(ii)

16

-

24
(iii)

15.5

-

24.5
(iv)

15.5

-

25
(v)

15

-

25

Question 12

12.

Convert the discontinuous form of the class interval 23 - 27 to continuous form

(i)

22

-

28
(ii)

22.5

-

28
(iii)

22.5

-

27.5
(iv)

23

-

27
(v)

22

-

27.5

Question 13

13.

Convert the continuous form of the class interval 19.5 - 23.5 to discontinuous form

(i)

19.5

-

23.5
(ii)

20.5

-

22.5
(iii)

20

-

23.5
(iv)

19.5

-

23
(v)

20

-

23

Question 14

14.

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

45 - 52

53 - 60

61 - 68

69 - 76

77 - 84

Frequency

25

28

26

24

19

(i)

10
(ii)

5
(iii)

9
(iv)

8
(v)

7

Question 15

15.

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

26 - 36

36 - 46

46 - 56

56 - 66

66 - 76

76 - 86

86 - 96

96 - 106

Frequency

23

5

23

13

23

15

8

30

(i)

11
(ii)

10
(iii)

13
(iv)

9
(v)

8

Question 16

16.

Which of the following are true?

a)	The true lower limit of the inclusive form class interval 40 - 50 is 40.
b)	The true lower limit of the exclusive form class interval 40 - 50 is 40.
c)	Each numerical figure in a data set is called an observation.
d)	The number of times a particular observation occurs is called its frequency.
e)	The difference between the true upper limit and true lower limit is called the class mark.

(i)

{a,b,c}
(ii)

{a,e,d}
(iii)

{e,c}
(iv)

{b,c,d}
(v)

{a,b}

Question 17

17.

Which of the following class intervals are in inclusive form?

a)	10 - 15 , 16 - 21 , 22 - 27,...
b)	25 - 30 , 30 - 35 , 35 - 40...
c)	9.5 - 15.5 , 15.5 - 21.5 , 21.5 - 27.5...
d)	28 - 33 , 34 - 39 , 40 - 45,...
e)	10 - 15 , 15 - 20 , 20 - 25,...

(i)

{c,d,a}
(ii)

{e,b,a}
(iii)

{c,d}
(iv)

{b,a}
(v)

{a,d}

Question 18

18.

In inclusive form representation, the observation
60
falls in which class?

(i)

40

-

50
(ii)

61

-

70
(iii)

45

-

55
(iv)

50

-

60
(v)

49

-

59

Question 19

19.

In exclusive form representation, the observation
20
falls in which class?

(i)

30

-

40
(ii)

25

-

35
(iii)

10

-

20
(iv)

20

-

30
(v)

15

-

20

Question 20

20.

The class mark of the class with frequency x is

Class-Interval

Frequency

8 - 18

18

19 - 29

4

30 - 40

2

41 - 51

27

52 - 62

x

(i)

57
(ii)

54
(iii)

59
(iv)

56
(v)

58

Question 21

21.

The class mark of the class with frequency x is

Class-Interval

Frequency

5 - 15

18

15 - 25

4

25 - 35

1

35 - 45

13

45 - 55

x

(i)

48
(ii)

50
(iii)

51
(iv)

49
(v)

53

Question 22

22.

The mid value of the class with frequency x is

Class-Interval

Frequency

9 - 19

13

20 - 30

28

31 - 41

21

42 - 52

29

53 - 63

x

(i)

57
(ii)

60
(iii)

58
(iv)

59
(v)

56

Question 23

23.

The mid value of the class with frequency x is

Class-Interval

Frequency

15 - 20

1

20 - 25

11

25 - 30

x

30 - 35

1

35 - 40

20

(i)

55
2
(ii)

109
4
(iii)

53
2
(iv)

28
(v)

57
2

Question 24

24.

The class boundaries of the class with frequency x is

Class-Interval

Frequency

14 - 19

26

20 - 25

1

26 - 31

15

32 - 37

x

38 - 43

5

(i)

31.5

-

38
(ii)

31

-

38
(iii)

31

-

37.5
(iv)

32

-

37
(v)

31.5

-

37.5

Question 25

25.

The class boundaries of the class with frequency x is

Class-Interval

Frequency

17 - 22

x

22 - 27

21

27 - 32

12

32 - 37

13

37 - 42

5

(i)

16.5

-

22
(ii)

17

-

22.5
(iii)

17.5

-

21.5
(iv)

16.5

-

22.5
(v)

17

-

22

Question 26

26.

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

Class-Interval

Frequency

28 - 35

9

36 - 43

x

44 - 51

30

52 - 59

2

60 - 67

23

(i)

36

-

43
(ii)

35.5

-

43.5
(iii)

35.5

-

44
(iv)

35

-

44
(v)

35

-

43.5

Question 27

27.

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

Class-Interval

Frequency

32 - 37

15

37 - 42

x

42 - 47

27

47 - 52

6

52 - 57

3

(i)

36.5

-

42
(ii)

36.5

-

42.5
(iii)

37

-

42
(iv)

37.5

-

41.5
(v)

37

-

42.5

Question 28

28.

The lower limit of the class with frequency x is

Class-Interval

Frequency

46 - 52

22

53 - 59

14

60 - 66

x

67 - 73

18

74 - 80

7

(i)

61
(ii)

57
(iii)

59
(iv)

60
(v)

63

Question 29

29.

The upper limit of the class with frequency x is

Class-Interval

Frequency

23 - 31

30

31 - 39

29

39 - 47

15

47 - 55

x

55 - 63

3

(i)

57
(ii)

56
(iii)

53
(iv)

55
(v)

54

Question 30

30.

If the sample data with range 40 has to be divided into 8 class intervals, then the length of the class is

(i)

4
(ii)

5
(iii)

2
(iv)

8
(v)

6

Question 31

31.

If the length of the class is 10, then the number of class intervals needed to represent data with range 70 is

(i)

5
(ii)

10
(iii)

8
(iv)

6
(v)

7

Question 32

32.

If some random sample data is arranged in a frequency distribution table in
inclusive form
with
3
-
7
as the first class,
then the observation
19
falls in which class?

(i)

18.5

-

21.5
(ii)

19

-

23
(iii)

18

-

22
(iv)

17.5

-

22.5
(v)

17

-

21

Question 33

33.

If some random sample data is arranged in a frequency distribution table in
exclusive form
with
1
-
11
as the first class,
then the observation
32
falls in which class?

(i)

30.5

-

41.5
(ii)

31.5

-

40.5
(iii)

32

-

42
(iv)

31

-

41
(v)

30

-

40

Question 34

34.

Find the sum of frequencies for the given table

Value

19

35

38

41

44

46

59

74

84

Frequency

2

1

1

1

1

1

1

1

1

(i)

9
(ii)

13
(iii)

10
(iv)

8
(v)

11

Question 35

35.

Given class interval table, find the sum of frequencies.

Class-Interval

16 - 22

23 - 29

30 - 36

37 - 43

44 - 50

51 - 57

58 - 64

Frequency

26

5

5

14

20

27

26

(i)

124
(ii)

122
(iii)

125
(iv)

121
(v)

123

Question 36

36.

Given class interval table, find the sum of frequencies.

Class-Interval

20 - 29

29 - 38

38 - 47

47 - 56

56 - 65

65 - 74

74 - 83

Frequency

19

14

15

28

4

29

21

(i)

130
(ii)

133
(iii)

128
(iv)

129
(v)

131

Question 37

37.

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

Class-Interval

14 - 21

22 - 29

30 - 37

38 - 45

46 - 53

54 - 61

Frequency

11

15

45

27

40

42

(i)

Class-Interval

13.5 - 21

21.5 - 29

29.5 - 37

37.5 - 45

45.5 - 53

53.5 - 61

Frequency

11

15

45

27

40

42
(ii)

Class-Interval

13.5 - 21.5

21.5 - 29.5

29.5 - 37.5

37.5 - 45.5

45.5 - 53.5

53.5 - 61.5

Frequency

11

15

45

27

40

42
(iii)

Class-Interval

13.5 - 20.5

21.5 - 28.5

29.5 - 36.5

37.5 - 44.5

45.5 - 52.5

53.5 - 60.5

Frequency

11

15

45

27

40

42
(iv)

Class-Interval

14 - 21

21 - 28

28 - 35

35 - 42

42 - 49

49 - 56

Frequency

38

43

37

19

29

37
(v)

Class-Interval

14.5 - 21.5

22.5 - 29.5

30.5 - 37.5

38.5 - 45.5

46.5 - 53.5

54.5 - 61.5

Frequency

11

15

45

27

40

42

Question 38

38.

Which of the following class intervals are in exclusive form?

a)	30 - 35 , 36 - 41 , 42 - 47,...
b)	30 - 35 , 35 - 40 , 40 - 45,...
c)	48 - 53 , 54 - 59 , 60 - 65,...
d)	29.5 - 35.5 , 35.5 - 41.5 , 41.5 - 47.5...
e)	45 - 50 , 50 - 55 , 55 - 60...

(i)

{c,d}
(ii)

{a,c,e}
(iii)

{b,d,e}
(iv)

{a,b}
(v)

{a,b,d}

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)

class interval
(iii)

mid values of the class
(iv)

number of classes

Question 41

41.

In a histogram

(i)

the width of all rectangles are equal
(ii)

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

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

the lengths of all rectangles are equal

Question 42

42.

The frequency polygon is one drawn using

(i)

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

end points of classes and frequencies
(iii)

mid point of classes and frequencies
(iv)

upper boundaries of classes and cumulative frequencies

Question 43

43.

Less than cumulative curves are drawn using

(i)

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

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

lower boundaries 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)

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

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

upper boundaries of classes and greater than cumulative frequencies

Assignment Key