EduSahara™ Worksheet

Question 1

1.

(i)

36
(ii)

35
(iii)

33
(iv)

34
(v)

32

Question 2

2.

(i)

26
(ii)

24
(iii)

22
(iv)

25
(v)

28

Question 3

3.

(i)

10
(ii)

12
(iii)

8
(iv)

6
(v)

9

Question 4

4.

(i)

193
4
(ii)

95
2
(iii)

97
2
(iv)

49
(v)

99
2

Question 5

5.

(i)

93
2
(ii)

91
2
(iii)

185
4
(iv)

95
2
(v)

47

Question 6

6.

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

(i)

45.5

-

55
(ii)

46.5

-

54.5
(iii)

45.5

-

55.5
(iv)

46

-

55.5
(v)

46

-

55

Question 7

7.

If the lower and upper limit of class interval are 42 and 44 respectively, then the class interval is

(i)

42

-

44
(ii)

41.5

-

44
(iii)

42.5

-

43.5
(iv)

41.5

-

44.5
(v)

42

-

44.5

Question 8

8.

The class boundaries of 14 - 16 which is in exclusive form are

(i)

14

-

16
(ii)

14.5

-

15.5
(iii)

13.5

-

16
(iv)

14

-

16.5
(v)

13.5

-

16.5

Question 9

9.

The class boundaries of 15 - 19 which is in inclusive form are

(i)

14.5

-

20
(ii)

14.5

-

19.5
(iii)

14

-

20
(iv)

15

-

19
(v)

14

-

19.5

Question 10

10.

Convert the exclusive form of the class interval 38.5 - 47.5 to inclusive form

(i)

38.5

-

47
(ii)

39

-

47
(iii)

39.5

-

46.5
(iv)

39

-

47.5
(v)

38.5

-

47.5

Question 11

11.

Convert the inclusive form of the class interval 32 - 40 to exclusive form

(i)

31

-

41
(ii)

31

-

40.5
(iii)

32

-

40
(iv)

31.5

-

40.5
(v)

31.5

-

41

Question 12

12.

Convert the discontinuous form of the class interval 25 - 30 to continuous form

(i)

24.5

-

30.5
(ii)

24

-

30.5
(iii)

24.5

-

31
(iv)

24

-

31
(v)

25

-

30

Question 13

13.

Convert the continuous form of the class interval 12.5 - 19.5 to discontinuous form

(i)

13

-

19.5
(ii)

13

-

19
(iii)

12.5

-

19
(iv)

13.5

-

18.5
(v)

12.5

-

19.5

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

15

17

24

16

(i)

10
(ii)

11
(iii)

9
(iv)

12
(v)

8

Question 15

15.

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

21 - 27

27 - 33

33 - 39

39 - 45

Frequency

19

2

29

20

(i)

3
(ii)

6
(iii)

8
(iv)

5
(v)

7

Question 16

16.

Which of the following are true?

a)	The difference between the true upper limit and true lower limit is called the class mark.
b)	The number of times a particular observation occurs is called its frequency.
c)	The true lower limit of the inclusive form class interval 20 - 30 is 20.
d)	The true lower limit of the exclusive form class interval 20 - 30 is 20.
e)	Each numerical figure in a data set is called an observation.

(i)

{b,d,e}
(ii)

{c,d}
(iii)

{a,b}
(iv)

{a,c,e}
(v)

{a,b,d}

Question 17

17.

Which of the following class intervals are in inclusive form?

a)	17 - 23 , 23 - 29 , 29 - 35,...
b)	38 - 44 , 45 - 51 , 52 - 58,...
c)	16.5 - 23.5 , 23.5 - 30.5 , 30.5 - 37.5...
d)	35 - 41 , 41 - 47 , 47 - 53...
e)	17 - 23 , 24 - 30 , 31 - 37,...

(i)

{b,e}
(ii)

{c,e}
(iii)

{c,e,b}
(iv)

{d,a,b}
(v)

{a,b}

Question 18

18.

In inclusive form representation, the observation
47
falls in which class?

(i)

48

-

57
(ii)

36

-

46
(iii)

27

-

37
(iv)

32

-

42
(v)

37

-

47

Question 19

19.

In exclusive form representation, the observation
50
falls in which class?

(i)

60

-

70
(ii)

40

-

50
(iii)

55

-

65
(iv)

50

-

60
(v)

45

-

50

Question 20

20.

The class boundaries of the class with frequency x is

Class-Interval

Frequency

27 - 34

11

35 - 42

19

43 - 50

x

51 - 58

24

59 - 66

10

(i)

42

-

50.5
(ii)

42.5

-

51
(iii)

42.5

-

50.5
(iv)

43

-

50
(v)

42

-

51

Question 21

21.

The class boundaries of the class with frequency x is

Class-Interval

Frequency

13 - 21

24

21 - 29

23

29 - 37

20

37 - 45

x

45 - 53

17

(i)

37

-

45.5
(ii)

36.5

-

45
(iii)

37.5

-

44.5
(iv)

36.5

-

45.5
(v)

37

-

45

Question 22

22.

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

Class-Interval

Frequency

13 - 19

10

20 - 26

27

27 - 33

x

34 - 40

1

41 - 47

2

(i)

26

-

33.5
(ii)

26

-

34
(iii)

26.5

-

33.5
(iv)

26.5

-

34
(v)

27

-

33

Question 23

23.

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

Class-Interval

Frequency

29 - 37

12

37 - 45

7

45 - 53

16

53 - 61

28

61 - 69

x

(i)

60.5

-

69
(ii)

61

-

69
(iii)

61

-

69.5
(iv)

61.5

-

68.5
(v)

60.5

-

69.5

Question 24

24.

The lower limit of the class with frequency x is

Class-Interval

Frequency

10 - 19

9

20 - 29

6

30 - 39

23

40 - 49

10

50 - 59

x

(i)

50
(ii)

51
(iii)

48
(iv)

53
(v)

49

Question 25

25.

The upper limit of the class with frequency x is

Class-Interval

Frequency

41 - 49

x

49 - 57

5

57 - 65

17

65 - 73

19

73 - 81

1

(i)

49
(ii)

46
(iii)

48
(iv)

51
(v)

50

Question 26

26.

If the sample data with range 70 has to be divided into 10 class intervals, then the length of the class is

(i)

8
(ii)

9
(iii)

7
(iv)

4
(v)

6

Question 27

27.

If the length of the class is 3, then the number of class intervals needed to represent data with range 30 is

(i)

9
(ii)

11
(iii)

10
(iv)

8
(v)

13

Question 28

28.

The number of classes of class size
10
required to represent
the given random sample in exclusive form
5

5

6

7

10

12

12

13

20

20

21

21

24

26

26

28

29

33

34

34

36

39

41

46

46

49

(i)

4
(ii)

6
(iii)

7
(iv)

3
(v)

5

Question 29

29.

If some random sample data is arranged in a frequency distribution table in
inclusive form
with
3
-
8
as the first class,
then the observation
24
falls in which class?

(i)

21

-

26
(ii)

21.5

-

25.5
(iii)

20.5

-

26.5
(iv)

22

-

27
(v)

20

-

25

Question 30

30.

If some random sample data is arranged in a frequency distribution table in
exclusive form
with
1
-
6
as the first class,
then the observation
25
falls in which class?

(i)

22

-

27
(ii)

21.5

-

25.5
(iii)

21

-

26
(iv)

20.5

-

26.5
(v)

20

-

25

Question 31

31.

Given class interval table, find the sum of frequencies.

Class-Interval

39 - 47

47 - 55

55 - 63

63 - 71

71 - 79

Frequency

27

1

27

26

20

(i)

101
(ii)

104
(iii)

102
(iv)

100
(v)

99

Question 32

32.

Which of the following are continuous variables?

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

(i)

{a,b,d}
(ii)

{c,d}
(iii)

{a,b}
(iv)

{b,d,e}
(v)

{a,c,e}

Question 33

33.

Which of the following are discontinuous variables?

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

(i)

{a,d}
(ii)

{b,e}
(iii)

{d,e}
(iv)

{c,a,d}
(v)

{b,e,d}

Question 34

34.

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

Class-Interval

19 - 26

27 - 34

35 - 42

43 - 50

51 - 58

Frequency

39

24

25

13

37

(i)

Class-Interval

18.5 - 26.5

26.5 - 34.5

34.5 - 42.5

42.5 - 50.5

50.5 - 58.5

Frequency

39

24

25

13

37
(ii)

Class-Interval

18.5 - 25.5

26.5 - 33.5

34.5 - 41.5

42.5 - 49.5

50.5 - 57.5

Frequency

39

24

25

13

37
(iii)

Class-Interval

18.5 - 26

26.5 - 34

34.5 - 42

42.5 - 50

50.5 - 58

Frequency

39

24

25

13

37
(iv)

Class-Interval

19 - 26

26 - 33

33 - 40

40 - 47

47 - 54

Frequency

41

11

13

44

41
(v)

Class-Interval

19.5 - 26.5

27.5 - 34.5

35.5 - 42.5

43.5 - 50.5

51.5 - 58.5

Frequency

39

24

25

13

37

Question 35

35.

Which of the following class intervals are in exclusive form?

a)	21.5 - 32.5 , 32.5 - 43.5 , 43.5 - 54.5...
b)	22 - 32 , 32 - 42 , 42 - 52,...
c)	55 - 65 , 66 - 76 , 77 - 87,...
d)	22 - 32 , 33 - 43 , 44 - 54,...
e)	52 - 62 , 62 - 72 , 72 - 82...

(i)

{d,b}
(ii)

{a,b,e}
(iii)

{c,a,b}
(iv)

{c,d,e}
(v)

{c,a}

Question 36

36.

If the mean of the following frequency distribution is
7

23
40
,

find the value of 'x'.

Value

Frequency

3

4

4

6

5

2

6

4

7

1

8

6

9

x

10

4

11

6

12

3

(i)

5
(ii)

7
(iii)

2
(iv)

4
(v)

3

Question 37

37.

If the sum of the following frequency distribution is
25
,

find the value of 'x'.

Class-Interval

Frequency

20 - 29

4

30 - 39

3

40 - 49

9

50 - 59

6

60 - 69

x

70 - 79

1

(i)

5
(ii)

2
(iii)

1
(iv)

0
(v)

3

Question 38

38.

To represent equal numerical values, same diagrams are used in

(i)

pie-diagrams
(ii)

bar-diagrams
(iii)

sectors
(iv)

pictographs

Question 39

39.

Which of the following are continuous variables?

a)	Temperature at a place over a month
b)	Heights of children in a class
c)	Number of players in a team
d)	Population of cities
e)	Marks obtained by student in a particular subject

(i)

{e,c,a}
(ii)

{a,b}
(iii)

{d,b,a}
(iv)

{c,a}
(v)

{d,b}

Question 40

40.

Which of the following are discrete variables?

a)	Marks obtained by student in a particular subject
b)	Rainfall at a place over a month
c)	Number of workers in a factory
d)	Temperature at a place over a month
e)	Wages of workers in a factory

(i)

{a,c}
(ii)

{b,a}
(iii)

{d,c}
(iv)

{e,b,a}
(v)

{d,c,a}

Question 41

41.

Find the sum of frequencies for the given table

Value

18

19

25

33

42

44

61

68

70

83

Frequency

1

1

1

1

1

1

1

1

1

1

(i)

12
(ii)

11
(iii)

9
(iv)

10
(v)

8

Question 42

42.

Given class interval table, find the sum of frequencies.

Class-Interval

34 - 41

42 - 49

50 - 57

58 - 65

66 - 73

74 - 81

82 - 89

Frequency

10

27

10

4

8

2

30

(i)

91
(ii)

93
(iii)

92
(iv)

88
(v)

90

Question 43

43.

The class marks of a frequency distribution are
29.5 , 37.5 , 45.5 , 53.5
.

Find the class size and class intervals
in inclusive form

(i)

8

;

27

-

34

,

35

-

42

,

43

-

50

,

51

-

58
(ii)

7

;

26

-

33

,

33

-

40

,

40

-

47

,

47

-

54
(iii)

8

;

26

-

33

,

34

-

41

,

42

-

49

,

50

-

57
(iv)

8

;

25

-

33

,

33

-

41

,

41

-

49

,

49

-

57
(v)

8

;

25

-

32

,

33

-

40

,

41

-

48

,

49

-

56

Question 44

44.

The class marks of a frequency distribution are
24.5 , 31.5 , 38.5 , 45.5
.

Find the class size and class intervals
in exclusive form

(i)

7

;

22

-

29

,

29

-

36

,

36

-

43

,

43

-

50
(ii)

7

;

21

-

28

,

28

-

35

,

35

-

42

,

42

-

49
(iii)

9

;

20

-

28

,

29

-

37

,

38

-

46

,

47

-

55
(iv)

8

;

21

-

28

,

29

-

36

,

37

-

44

,

45

-

52
(v)

7

;

20

-

27

,

27

-

34

,

34

-

41

,

41

-

48

Assignment Key