EduSahara™ Worksheet

Question 1

1.

(i)

45
(ii)

42
(iii)

40
(iv)

44
(v)

43

Question 2

2.

(i)

62
(ii)

59
(iii)

60
(iv)

57
(v)

58

Question 3

3.

(i)

0
(ii)

2
(iii)

1
(iv)

3
(v)

5

Question 4

4.

(i)

54
(ii)

213
4
(iii)

107
2
(iv)

105
2
(v)

109
2

Question 5

5.

(i)

17
(ii)

20
(iii)

19
(iv)

21
(v)

22

Question 6

6.

If the upper and lower limit of class interval are 37 and 33 respectively, then the class interval is

(i)

32.5

-

37.5
(ii)

33.5

-

36.5
(iii)

33

-

37.5
(iv)

33

-

37
(v)

32.5

-

37

Question 7

7.

If the lower and upper limit of class interval are 44 and 47 respectively, then the class interval is

(i)

44

-

47
(ii)

44

-

47.5
(iii)

43.5

-

47
(iv)

44.5

-

46.5
(v)

43.5

-

47.5

Question 8

8.

The class boundaries of 35 - 41 which is in exclusive form are

(i)

35.5

-

40.5
(ii)

35

-

41
(iii)

34.5

-

41
(iv)

35

-

41.5
(v)

34.5

-

41.5

Question 9

9.

The class boundaries of 21 - 30 which is in inclusive form are

(i)

20

-

31
(ii)

21

-

30
(iii)

20

-

30.5
(iv)

20.5

-

31
(v)

20.5

-

30.5

Question 10

10.

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

Class-Interval

Frequency

14 - 19

x

20 - 25

25

26 - 31

12

32 - 37

23

38 - 43

9

(i)

13.5

-

20
(ii)

14

-

19
(iii)

13.5

-

19.5
(iv)

13

-

20
(v)

13

-

19.5

Question 11

11.

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

Class-Interval

Frequency

25 - 33

25

33 - 41

20

41 - 49

x

49 - 57

25

57 - 65

2

(i)

40.5

-

49.5
(ii)

40.5

-

49
(iii)

41.5

-

48.5
(iv)

41

-

49.5
(v)

41

-

49

Question 12

12.

The lower limit of the class with frequency x is

Class-Interval

Frequency

46 - 51

13

52 - 57

30

58 - 63

25

64 - 69

14

70 - 75

x

(i)

71
(ii)

68
(iii)

69
(iv)

72
(v)

70

Question 13

13.

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

46 - 54

55 - 63

64 - 72

73 - 81

82 - 90

91 - 99

Frequency

25

28

15

12

1

7

(i)

6
(ii)

10
(iii)

8
(iv)

11
(v)

9

Question 14

14.

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

28 - 36

36 - 44

44 - 52

52 - 60

60 - 68

68 - 76

76 - 84

Frequency

8

14

10

4

26

8

8

(i)

8
(ii)

9
(iii)

5
(iv)

10
(v)

7

Question 15

15.

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

(i)

{b,d}
(ii)

{a,c,d}
(iii)

{a,c}
(iv)

{c,d,e}
(v)

{a,b,e}

Question 16

16.

Which of the following class intervals are in inclusive form?

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

(i)

{d,b,a}
(ii)

{c,e}
(iii)

{b,a}
(iv)

{c,e,a}
(v)

{a,e}

Question 17

17.

In inclusive form representation, the observation
52
falls in which class?

(i)

53

-

62
(ii)

42

-

52
(iii)

41

-

51
(iv)

32

-

42
(v)

37

-

47

Question 18

18.

In exclusive form representation, the observation
31
falls in which class?

(i)

21

-

31
(ii)

36

-

46
(iii)

41

-

51
(iv)

31

-

41
(v)

26

-

31

Question 19

19.

The class mark of the class with frequency x is

Class-Interval

Frequency

8 - 13

24

14 - 19

15

20 - 25

x

26 - 31

12

32 - 37

26

(i)

23
(ii)

47
2
(iii)

89
4
(iv)

43
2
(v)

45
2

Question 20

20.

The class mark of the class with frequency x is

Class-Interval

Frequency

19 - 24

17

24 - 29

x

29 - 34

19

34 - 39

21

39 - 44

9

(i)

105
4
(ii)

53
2
(iii)

27
(iv)

51
2
(v)

55
2

Question 21

21.

The mid value of the class with frequency x is

Class-Interval

Frequency

18 - 28

18

29 - 39

3

40 - 50

x

51 - 61

11

62 - 72

9

(i)

45
(ii)

44
(iii)

46
(iv)

43
(v)

47

Question 22

22.

The mid value of the class with frequency x is

Class-Interval

Frequency

17 - 27

22

27 - 37

x

37 - 47

19

47 - 57

29

57 - 67

24

(i)

34
(ii)

29
(iii)

31
(iv)

33
(v)

32

Question 23

23.

The class boundaries of the class with frequency x is

Class-Interval

Frequency

39 - 46

x

47 - 54

29

55 - 62

16

63 - 70

14

71 - 78

18

(i)

38

-

46.5
(ii)

39

-

46
(iii)

38.5

-

46.5
(iv)

38

-

47
(v)

38.5

-

47

Question 24

24.

The class boundaries of the class with frequency x is

Class-Interval

Frequency

34 - 40

27

40 - 46

23

46 - 52

17

52 - 58

8

58 - 64

x

(i)

57.5

-

64.5
(ii)

58

-

64.5
(iii)

58.5

-

63.5
(iv)

57.5

-

64
(v)

58

-

64

Question 25

25.

The upper limit of the class with frequency x is

Class-Interval

Frequency

34 - 40

x

40 - 46

19

46 - 52

13

52 - 58

9

58 - 64

13

(i)

40
(ii)

38
(iii)

42
(iv)

39
(v)

41

Question 26

26.

If the sample data with range 40 has to be divided into 7 class intervals, then the length of the class is

(i)

7
(ii)

8
(iii)

5
(iv)

6
(v)

4

Question 27

27.

If the length of the class is 10, then the number of class intervals needed to represent data with range 40 is

(i)

5
(ii)

3
(iii)

4
(iv)

1
(v)

7

Question 28

28.

The number of classes of class size
5
required to represent
the given random sample in exclusive form
1

2

2

3

5

5

7

7

10

11

12

12

12

16

17

27

30

36

38

39

39

40

41

41

44

47

48

(i)

10
(ii)

9
(iii)

13
(iv)

7
(v)

11

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
27
falls in which class?

(i)

27.5

-

31.5
(ii)

27

-

32
(iii)

26

-

31
(iv)

28

-

33
(v)

26.5

-

32.5

Question 30

30.

If some random sample data is arranged in a frequency distribution table in
exclusive form
with
1
-
7
as the first class,
then the observation
27
falls in which class?

(i)

24

-

30
(ii)

26

-

32
(iii)

25

-

31
(iv)

25.5

-

30.5
(v)

24.5

-

31.5

Question 31

31.

Given class interval table, find the sum of frequencies.

Class-Interval

15 - 20

20 - 25

25 - 30

30 - 35

35 - 40

40 - 45

45 - 50

Frequency

27

8

15

30

3

2

2

(i)

87
(ii)

85
(iii)

90
(iv)

88
(v)

86

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)	Weights of persons in a group.
d)	Wages of workers in a factory.
e)	Heights of children in a class.

(i)

{c,d,e}
(ii)

{a,c}
(iii)

{a,b,e}
(iv)

{b,d}
(v)

{a,c,d}

Question 33

33.

Which of the following are discontinuous variables?

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

(i)

{b,a}
(ii)

{e,b,a}
(iii)

{a,d}
(iv)

{c,d}
(v)

{c,d,a}

Question 34

34.

Which of the following class intervals are in exclusive form?

a)	27.5 - 38.5 , 38.5 - 49.5 , 49.5 - 60.5...
b)	58 - 68 , 68 - 78 , 78 - 88...
c)	28 - 38 , 38 - 48 , 48 - 58,...
d)	28 - 38 , 39 - 49 , 50 - 60,...
e)	61 - 71 , 72 - 82 , 83 - 93,...

(i)

{a,b,c}
(ii)

{e,b}
(iii)

{d,a}
(iv)

{d,e,c}
(v)

{d,a,b}

Question 35

35.

If the sum of the following frequency distribution is
34
,

find the value of 'x'.

Value

Frequency

5

4

6

7

7

3

8

2

9

x

10

9

11

3

(i)

5
(ii)

7
(iii)

9
(iv)

4
(v)

6

Question 36

36.

If the sum of the following frequency distribution is
42
,

find the value of 'x'.

Class-Interval

Frequency

10 - 17

8

18 - 25

7

26 - 33

6

34 - 41

9

42 - 49

3

50 - 57

8

58 - 65

x

(i)

1
(ii)

-2
(iii)

4
(iv)

0
(v)

2

Question 37

37.

Which of the following are continuous variables?

a)	Weights of persons in a group
b)	Wages of workers in a factory
c)	Number of players in a team
d)	Number of workers in a factory
e)	Number of members in a family

(i)

{d,b,a}
(ii)

{c,a}
(iii)

{d,b}
(iv)

{a,b}
(v)

{e,c,a}

Question 38

38.

Which of the following are discrete variables?

a)	Rainfall at a place over a month
b)	Temperature at a place over a month
c)	Population of cities
d)	Heights of children in a class
e)	Number of workers in a factory

(i)

{c,e}
(ii)

{a,c}
(iii)

{b,e}
(iv)

{b,e,c}
(v)

{d,a,c}

Question 39

39.

Convert the exclusive form of the class interval 26.5 - 35.5 to inclusive form

(i)

26.5

-

35
(ii)

27.5

-

34.5
(iii)

27

-

35
(iv)

27

-

35.5
(v)

26.5

-

35.5

Question 40

40.

Convert the inclusive form of the class interval 23 - 27 to exclusive form

(i)

22

-

27.5
(ii)

22.5

-

27.5
(iii)

22

-

28
(iv)

22.5

-

28
(v)

23

-

27

Question 41

41.

Convert the discontinuous form of the class interval 13 - 19 to continuous form

(i)

12

-

19.5
(ii)

13

-

19
(iii)

12.5

-

20
(iv)

12.5

-

19.5
(v)

12

-

20

Question 42

42.

Convert the continuous form of the class interval 9.5 - 16.5 to discontinuous form

(i)

9.5

-

16.5
(ii)

10.5

-

15.5
(iii)

9.5

-

16
(iv)

10

-

16.5
(v)

10

-

16

Question 43

43.

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

Class-Interval

9 - 15

16 - 22

23 - 29

30 - 36

37 - 43

44 - 50

Frequency

23

36

13

15

37

14

(i)

Class-Interval

8.5 - 15

15.5 - 22

22.5 - 29

29.5 - 36

36.5 - 43

43.5 - 50

Frequency

23

36

13

15

37

14
(ii)

Class-Interval

8.5 - 14.5

15.5 - 21.5

22.5 - 28.5

29.5 - 35.5

36.5 - 42.5

43.5 - 49.5

Frequency

23

36

13

15

37

14
(iii)

Class-Interval

9 - 15

15 - 21

21 - 27

27 - 33

33 - 39

39 - 45

Frequency

29

32

19

17

50

30
(iv)

Class-Interval

9.5 - 15.5

16.5 - 22.5

23.5 - 29.5

30.5 - 36.5

37.5 - 43.5

44.5 - 50.5

Frequency

23

36

13

15

37

14
(v)

Class-Interval

8.5 - 15.5

15.5 - 22.5

22.5 - 29.5

29.5 - 36.5

36.5 - 43.5

43.5 - 50.5

Frequency

23

36

13

15

37

14

Assignment Key