EduSahara™ Worksheet

Question 1

1.

(i)

34
(ii)

32
(iii)

35
(iv)

37
(v)

36

Question 2

2.

(i)

49
(ii)

48
(iii)

46
(iv)

47
(v)

44

Question 3

3.

(i)

5
(ii)

7
(iii)

6
(iv)

10
(v)

8

Question 4

4.

(i)

30
(ii)

61
2
(iii)

59
2
(iv)

57
2
(v)

117
4

Question 5

5.

(i)

85
2
(ii)

87
2
(iii)

43
(iv)

169
4
(v)

83
2

Question 6

6.

If the upper and lower limit of class interval are 56 and 46 respectively, then the class interval is

(i)

45.5

-

56.5
(ii)

46

-

56.5
(iii)

46.5

-

55.5
(iv)

46

-

56
(v)

45.5

-

56

Question 7

7.

If the lower and upper limit of class interval are 24 and 28 respectively, then the class interval is

(i)

24

-

28
(ii)

24.5

-

27.5
(iii)

23.5

-

28.5
(iv)

24

-

28.5
(v)

23.5

-

28

Question 8

8.

The class boundaries of 12 - 21 which is in exclusive form are

(i)

12

-

21
(ii)

11.5

-

21
(iii)

11.5

-

21.5
(iv)

12.5

-

20.5
(v)

12

-

21.5

Question 9

9.

The class boundaries of 45 - 50 which is in inclusive form are

(i)

44.5

-

51
(ii)

44

-

50.5
(iii)

44.5

-

50.5
(iv)

44

-

51
(v)

45

-

50

Question 10

10.

Convert the exclusive form of the class interval 12.5 - 20.5 to inclusive form

(i)

13

-

20.5
(ii)

12.5

-

20
(iii)

13

-

20
(iv)

13.5

-

19.5
(v)

12.5

-

20.5

Question 11

11.

Convert the inclusive form of the class interval 11 - 15 to exclusive form

(i)

10

-

16
(ii)

10.5

-

15.5
(iii)

10.5

-

16
(iv)

11

-

15
(v)

10

-

15.5

Question 12

12.

Convert the discontinuous form of the class interval 20 - 27 to continuous form

(i)

19

-

27.5
(ii)

20

-

27
(iii)

19.5

-

27.5
(iv)

19

-

28
(v)

19.5

-

28

Question 13

13.

Convert the continuous form of the class interval 47.5 - 53.5 to discontinuous form

(i)

48

-

53
(ii)

47.5

-

53.5
(iii)

47.5

-

53
(iv)

48.5

-

52.5
(v)

48

-

53.5

Question 14

14.

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

23 - 31

32 - 40

41 - 49

50 - 58

59 - 67

Frequency

14

22

21

7

11

(i)

10
(ii)

6
(iii)

8
(iv)

12
(v)

9

Question 15

15.

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

16 - 26

26 - 36

36 - 46

46 - 56

Frequency

13

3

13

11

(i)

10
(ii)

13
(iii)

8
(iv)

11
(v)

9

Question 16

16.

Which of the following are true?

a)	The true lower limit of the exclusive form class interval 10 - 20 is 10.
b)	The difference between the true upper limit and true lower limit is called the class mark.
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 true lower limit of the inclusive form class interval 10 - 20 is 10.

(i)

{b,a}
(ii)

{b,a,c}
(iii)

{a,c,d}
(iv)

{e,c}
(v)

{b,e,d}

Question 17

17.

Which of the following class intervals are in inclusive form?

a)	19.5 - 27.5 , 27.5 - 35.5 , 35.5 - 43.5...
b)	20 - 27 , 28 - 35 , 36 - 43,...
c)	20 - 27 , 27 - 34 , 34 - 41,...
d)	44 - 51 , 52 - 59 , 60 - 67,...
e)	41 - 48 , 48 - 55 , 55 - 62...

(i)

{b,d}
(ii)

{c,d}
(iii)

{a,b}
(iv)

{c,d,b}
(v)

{e,a,b}

Question 18

18.

In inclusive form representation, the observation
53
falls in which class?

(i)

42

-

52
(ii)

33

-

43
(iii)

38

-

48
(iv)

43

-

53
(v)

54

-

63

Question 19

19.

In exclusive form representation, the observation
12
falls in which class?

(i)

22

-

32
(ii)

2

-

12
(iii)

17

-

27
(iv)

7

-

12
(v)

12

-

22

Question 20

20.

The class boundaries of the class with frequency x is

Class-Interval

Frequency

28 - 35

11

36 - 43

4

44 - 51

x

52 - 59

1

60 - 67

29

(i)

43.5

-

51.5
(ii)

43

-

52
(iii)

44

-

51
(iv)

43

-

51.5
(v)

43.5

-

52

Question 21

21.

The class boundaries of the class with frequency x is

Class-Interval

Frequency

45 - 50

25

50 - 55

13

55 - 60

x

60 - 65

6

65 - 70

2

(i)

55.5

-

59.5
(ii)

55

-

60.5
(iii)

55

-

60
(iv)

54.5

-

60.5
(v)

54.5

-

60

Question 22

22.

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

Class-Interval

Frequency

27 - 33

x

34 - 40

7

41 - 47

14

48 - 54

9

55 - 61

23

(i)

26.5

-

34
(ii)

26.5

-

33.5
(iii)

27

-

33
(iv)

26

-

34
(v)

26

-

33.5

Question 23

23.

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

Class-Interval

Frequency

37 - 44

x

44 - 51

9

51 - 58

3

58 - 65

16

65 - 72

12

(i)

37.5

-

43.5
(ii)

37

-

44.5
(iii)

36.5

-

44.5
(iv)

37

-

44
(v)

36.5

-

44

Question 24

24.

The lower limit of the class with frequency x is

Class-Interval

Frequency

10 - 16

15

17 - 23

x

24 - 30

14

31 - 37

5

38 - 44

8

(i)

16
(ii)

18
(iii)

19
(iv)

17
(v)

15

Question 25

25.

The upper limit of the class with frequency x is

Class-Interval

Frequency

37 - 43

27

43 - 49

17

49 - 55

6

55 - 61

x

61 - 67

23

(i)

64
(ii)

61
(iii)

60
(iv)

62
(v)

58

Question 26

26.

If the sample data with range 60 has to be divided into 7 class intervals, then the length of the class is

(i)

8
(ii)

7
(iii)

12
(iv)

10
(v)

9

Question 27

27.

If the length of the class is 18, then the number of class intervals needed to represent data with range 70 is

(i)

5
(ii)

3
(iii)

7
(iv)

4
(v)

2

Question 28

28.

The number of classes of class size
8
required to represent
the given random sample in exclusive form
1

2

3

4

4

5

6

7

9

10

11

12

12

12

15

19

24

25

27

30

32

35

37

38

43

43

46

49

50

50

(i)

7
(ii)

4
(iii)

10
(iv)

8
(v)

6

Question 29

29.

If some random sample data is arranged in a frequency distribution table in
inclusive form
with
1
-
9
as the first class,
then the observation
26
falls in which class?

(i)

18.5

-

27.5
(ii)

18

-

26
(iii)

20

-

28
(iv)

19.5

-

26.5
(v)

19

-

27

Question 30

30.

If some random sample data is arranged in a frequency distribution table in
exclusive form
with
2
-
9
as the first class,
then the observation
24
falls in which class?

(i)

22.5

-

30.5
(ii)

24

-

31
(iii)

22

-

29
(iv)

23.5

-

29.5
(v)

23

-

30

Question 31

31.

Given class interval table, find the sum of frequencies.

Class-Interval

48 - 55

55 - 62

62 - 69

69 - 76

Frequency

9

4

21

21

(i)

57
(ii)

56
(iii)

54
(iv)

52
(v)

55

Question 32

32.

Which of the following are continuous variables?

a)	Number of workers in a factory.
b)	Number of members in a family.
c)	Wages of workers in a factory.
d)	Weights of persons in a group.
e)	Heights of children in a class.

(i)

{c,d,e}
(ii)

{a,c,d}
(iii)

{a,b,e}
(iv)

{a,c}
(v)

{b,d}

Question 33

33.

Which of the following are discontinuous variables?

a)	Heights of children in a class.
b)	Number of members in a family.
c)	Number of workers in a factory.
d)	Weights of persons in a group.
e)	Wages of workers in a factory.

(i)

{b,c}
(ii)

{e,a,b}
(iii)

{a,b}
(iv)

{d,c,b}
(v)

{d,c}

Question 34

34.

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

Class-Interval

15 - 24

25 - 34

35 - 44

45 - 54

55 - 64

65 - 74

Frequency

24

19

34

49

40

45

(i)

Class-Interval

14.5 - 24.5

24.5 - 34.5

34.5 - 44.5

44.5 - 54.5

54.5 - 64.5

64.5 - 74.5

Frequency

24

19

34

49

40

45
(ii)

Class-Interval

14.5 - 23.5

24.5 - 33.5

34.5 - 43.5

44.5 - 53.5

54.5 - 63.5

64.5 - 73.5

Frequency

24

19

34

49

40

45
(iii)

Class-Interval

15 - 24

24 - 33

33 - 42

42 - 51

51 - 60

60 - 69

Frequency

14

18

48

19

38

32
(iv)

Class-Interval

15.5 - 24.5

25.5 - 34.5

35.5 - 44.5

45.5 - 54.5

55.5 - 64.5

65.5 - 74.5

Frequency

24

19

34

49

40

45
(v)

Class-Interval

14.5 - 24

24.5 - 34

34.5 - 44

44.5 - 54

54.5 - 64

64.5 - 74

Frequency

24

19

34

49

40

45

Question 35

35.

Which of the following class intervals are in exclusive form?

a)	33 - 38 , 38 - 43 , 43 - 48...
b)	36 - 41 , 42 - 47 , 48 - 53,...
c)	18 - 23 , 24 - 29 , 30 - 35,...
d)	17.5 - 23.5 , 23.5 - 29.5 , 29.5 - 35.5...
e)	18 - 23 , 23 - 28 , 28 - 33,...

(i)

{b,c,e}
(ii)

{a,d,e}
(iii)

{b,a}
(iv)

{b,a,d}
(v)

{c,d}

Question 36

36.

If the mean of the following frequency distribution is
9

5
31
,

find the value of 'x'.

Value

Frequency

4

1

5

5

6

4

7

x

8

3

9

1

10

1

12

3

13

2

14

7

(i)

5
(ii)

7
(iii)

3
(iv)

2
(v)

4

Question 37

37.

If the sum of the following frequency distribution is
54
,

find the value of 'x'.

Class-Interval

Frequency

20 - 29

10

30 - 39

3

40 - 49

5

50 - 59

4

60 - 69

8

70 - 79

9

80 - 89

x

90 - 99

9

(i)

7
(ii)

3
(iii)

8
(iv)

5
(v)

6

Question 38

38.

To represent equal numerical values, same diagrams are used in

(i)

sectors
(ii)

pie-diagrams
(iii)

bar-diagrams
(iv)

pictographs

Question 39

39.

Which of the following are continuous variables?

a)	Marks obtained by student in a particular subject
b)	Temperature at a place over a month
c)	Rainfall at a place over a month
d)	Number of players in a team
e)	Number of members in a family

(i)

{b,c}
(ii)

{a,b}
(iii)

{d,c,b}
(iv)

{e,a,b}
(v)

{d,c}

Question 40

40.

Which of the following are discrete variables?

a)	Rainfall at a place over a month
b)	Marks obtained by student in a particular subject
c)	Population of cities
d)	Weights of persons in a group
e)	Wages of workers in a factory

(i)

{d,c,b}
(ii)

{a,b}
(iii)

{b,c}
(iv)

{e,a,b}
(v)

{d,c}

Question 41

41.

Find the sum of frequencies for the given table

Value

11

17

52

72

77

80

82

84

85

87

Frequency

1

1

1

1

1

1

1

1

1

1

(i)

11
(ii)

12
(iii)

8
(iv)

9
(v)

10

Question 42

42.

Given class interval table, find the sum of frequencies.

Class-Interval

49 - 55

56 - 62

63 - 69

70 - 76

77 - 83

84 - 90

Frequency

19

8

26

29

13

15

(i)

113
(ii)

110
(iii)

108
(iv)

111
(v)

109

Question 43

43.

The class marks of a frequency distribution are
29.5 , 39.5 , 49.5 , 59.5
.

Find the class size and class intervals
in inclusive form

(i)

10

;

26

-

35

,

36

-

45

,

46

-

55

,

56

-

65
(ii)

10

;

24

-

33

,

34

-

43

,

44

-

53

,

54

-

63
(iii)

9

;

25

-

34

,

34

-

43

,

43

-

52

,

52

-

61
(iv)

10

;

25

-

34

,

35

-

44

,

45

-

54

,

55

-

64
(v)

10

;

24

-

34

,

34

-

44

,

44

-

54

,

54

-

64

Question 44

44.

The class marks of a frequency distribution are
18.5 , 27.5 , 36.5 , 45.5
.

Find the class size and class intervals
in exclusive form

(i)

9

;

14

-

23

,

23

-

32

,

32

-

41

,

41

-

50
(ii)

10

;

14

-

23

,

24

-

33

,

34

-

43

,

44

-

53
(iii)

11

;

13

-

23

,

24

-

34

,

35

-

45

,

46

-

56
(iv)

9

;

13

-

22

,

22

-

31

,

31

-

40

,

40

-

49
(v)

9

;

15

-

24

,

24

-

33

,

33

-

42

,

42

-

51

Assignment Key