EduSahara™ Worksheet

Question 1

1.

(i)

30
(ii)

27
(iii)

29
(iv)

32
(v)

31

Question 2

2.

(i)

19
(ii)

23
(iii)

21
(iv)

20
(v)

22

Question 3

3.

(i)

12
(ii)

9
(iii)

6
(iv)

8
(v)

10

Question 4

4.

(i)

26
(ii)

30
(iii)

27
(iv)

25
(v)

28

Question 5

5.

(i)

23
(ii)

45
2
(iii)

47
2
(iv)

43
2
(v)

89
4

Question 6

6.

If the upper and lower limit of class interval are 48 and 38 respectively, then the class interval is

(i)

38.5

-

47.5
(ii)

37.5

-

48
(iii)

38

-

48
(iv)

37.5

-

48.5
(v)

38

-

48.5

Question 7

7.

If the lower and upper limit of class interval are 24 and 32 respectively, then the class interval is

(i)

24.5

-

31.5
(ii)

23.5

-

32
(iii)

24

-

32.5
(iv)

23.5

-

32.5
(v)

24

-

32

Question 8

8.

The class boundaries of 36 - 39 which is in exclusive form are

(i)

36

-

39.5
(ii)

35.5

-

39
(iii)

36.5

-

38.5
(iv)

36

-

39
(v)

35.5

-

39.5

Question 9

9.

The class boundaries of 27 - 30 which is in inclusive form are

(i)

26.5

-

30.5
(ii)

26

-

31
(iii)

26

-

30.5
(iv)

26.5

-

31
(v)

27

-

30

Question 10

10.

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

Class-Interval

Frequency

26 - 34

x

35 - 43

9

44 - 52

22

53 - 61

15

62 - 70

30

(i)

25

-

34.5
(ii)

25.5

-

34.5
(iii)

25.5

-

35
(iv)

25

-

35
(v)

26

-

34

Question 11

11.

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

Class-Interval

Frequency

16 - 22

21

22 - 28

20

28 - 34

27

34 - 40

x

40 - 46

22

(i)

33.5

-

40
(ii)

34

-

40.5
(iii)

34.5

-

39.5
(iv)

34

-

40
(v)

33.5

-

40.5

Question 12

12.

The lower limit of the class with frequency x is

Class-Interval

Frequency

43 - 49

9

50 - 56

26

57 - 63

17

64 - 70

x

71 - 77

14

(i)

63
(ii)

61
(iii)

66
(iv)

64
(v)

65

Question 13

13.

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

37 - 44

45 - 52

53 - 60

61 - 68

69 - 76

77 - 84

85 - 92

93 - 100

Frequency

1

20

11

1

3

17

30

25

(i)

7
(ii)

10
(iii)

8
(iv)

5
(v)

9

Question 14

14.

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

34 - 44

44 - 54

54 - 64

64 - 74

Frequency

11

11

7

10

(i)

10
(ii)

8
(iii)

11
(iv)

13
(v)

9

Question 15

15.

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

(i)

{b,d,e}
(ii)

{c,d}
(iii)

{a,b,d}
(iv)

{a,c,e}
(v)

{a,b}

Question 16

16.

Which of the following class intervals are in inclusive form?

a)	43 - 53 , 53 - 63 , 63 - 73...
b)	13 - 23 , 23 - 33 , 33 - 43,...
c)	46 - 56 , 57 - 67 , 68 - 78,...
d)	12.5 - 23.5 , 23.5 - 34.5 , 34.5 - 45.5...
e)	13 - 23 , 24 - 34 , 35 - 45,...

(i)

{b,e,c}
(ii)

{a,c}
(iii)

{c,e}
(iv)

{b,e}
(v)

{d,a,c}

Question 17

17.

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

(i)

32

-

42
(ii)

48

-

57
(iii)

36

-

46
(iv)

27

-

37
(v)

37

-

47

Question 18

18.

In exclusive form representation, the observation
37
falls in which class?

(i)

32

-

37
(ii)

27

-

37
(iii)

37

-

47
(iv)

47

-

57
(v)

42

-

52

Question 19

19.

The class mark of the class with frequency x is

Class-Interval

Frequency

7 - 17

29

18 - 28

29

29 - 39

21

40 - 50

x

51 - 61

22

(i)

43
(ii)

44
(iii)

48
(iv)

46
(v)

45

Question 20

20.

The class mark of the class with frequency x is

Class-Interval

Frequency

1 - 6

8

6 - 11

23

11 - 16

8

16 - 21

12

21 - 26

x

(i)

45
2
(ii)

24
(iii)

93
4
(iv)

47
2
(v)

49
2

Question 21

21.

The mid value of the class with frequency x is

Class-Interval

Frequency

4 - 9

5

10 - 15

14

16 - 21

x

22 - 27

10

28 - 33

5

(i)

19
(ii)

35
2
(iii)

73
4
(iv)

37
2
(v)

39
2

Question 22

22.

The mid value of the class with frequency x is

Class-Interval

Frequency

12 - 17

24

17 - 22

x

22 - 27

24

27 - 32

23

32 - 37

18

(i)

20
(ii)

39
2
(iii)

37
2
(iv)

77
4
(v)

41
2

Question 23

23.

The class boundaries of the class with frequency x is

Class-Interval

Frequency

14 - 22

23

23 - 31

8

32 - 40

x

41 - 49

19

50 - 58

21

(i)

31

-

40.5
(ii)

31

-

41
(iii)

31.5

-

41
(iv)

31.5

-

40.5
(v)

32

-

40

Question 24

24.

The class boundaries of the class with frequency x is

Class-Interval

Frequency

48 - 56

4

56 - 64

29

64 - 72

9

72 - 80

16

80 - 88

x

(i)

79.5

-

88.5
(ii)

80

-

88
(iii)

80.5

-

87.5
(iv)

79.5

-

88
(v)

80

-

88.5

Question 25

25.

The upper limit of the class with frequency x is

Class-Interval

Frequency

37 - 46

10

46 - 55

x

55 - 64

9

64 - 73

3

73 - 82

25

(i)

52
(ii)

58
(iii)

55
(iv)

54
(v)

56

Question 26

26.

If the sample data with range 30 has to be divided into 5 class intervals, then the length of the class is

(i)

6
(ii)

8
(iii)

3
(iv)

5
(v)

7

Question 27

27.

If the length of the class is 6, then the number of class intervals needed to represent data with range 40 is

(i)

5
(ii)

6
(iii)

9
(iv)

7
(v)

8

Question 28

28.

The number of classes of class size
6
required to represent
the given random sample in exclusive form
2

4

4

4

5

6

7

24

25

26

31

33

36

37

39

40

41

42

45

46

46

47

48

49

49

(i)

9
(ii)

6
(iii)

11
(iv)

7
(v)

8

Question 29

29.

If some random sample data is arranged in a frequency distribution table in
inclusive form
with
2
-
6
as the first class,
then the observation
25
falls in which class?

(i)

23

-

27
(ii)

21

-

25
(iii)

21.5

-

26.5
(iv)

22

-

26
(v)

22.5

-

25.5

Question 30

30.

If some random sample data is arranged in a frequency distribution table in
exclusive form
with
4
-
12
as the first class,
then the observation
24
falls in which class?

(i)

20.5

-

27.5
(ii)

21

-

29
(iii)

19

-

27
(iv)

19.5

-

28.5
(v)

20

-

28

Question 31

31.

Given class interval table, find the sum of frequencies.

Class-Interval

22 - 30

30 - 38

38 - 46

46 - 54

54 - 62

62 - 70

70 - 78

78 - 86

Frequency

5

16

22

18

15

10

20

5

(i)

112
(ii)

113
(iii)

109
(iv)

111
(v)

110

Question 32

32.

Which of the following are continuous variables?

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

(i)

{c,e,d}
(ii)

{c,a}
(iii)

{c,a,b}
(iv)

{a,b,d}
(v)

{e,b}

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)

{e,a,b}
(ii)

{d,c,b}
(iii)

{d,c}
(iv)

{a,b}
(v)

{b,c}

Question 34

34.

Which of the following class intervals are in exclusive form?

a)	23.5 - 30.5 , 30.5 - 37.5 , 37.5 - 44.5...
b)	45 - 51 , 52 - 58 , 59 - 65,...
c)	42 - 48 , 48 - 54 , 54 - 60...
d)	24 - 30 , 30 - 36 , 36 - 42,...
e)	24 - 30 , 31 - 37 , 38 - 44,...

(i)

{b,e,d}
(ii)

{b,a,c}
(iii)

{a,c,d}
(iv)

{b,a}
(v)

{e,c}

Question 35

35.

If the sum of the following frequency distribution is
27
,

find the value of 'x'.

Value

Frequency

1

1

4

x

5

4

7

2

8

1

9

3

10

6

11

4

13

1

14

4

(i)

-1
(ii)

1
(iii)

3
(iv)

0
(v)

2

Question 36

36.

If the sum of the following frequency distribution is
24
,

find the value of 'x'.

Class-Interval

Frequency

10 - 19

1

20 - 29

8

30 - 39

4

40 - 49

3

50 - 59

6

60 - 69

1

70 - 79

x

(i)

0
(ii)

-2
(iii)

1
(iv)

4
(v)

2

Question 37

37.

Which of the following are continuous variables?

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

(i)

{e,b,a}
(ii)

{b,a}
(iii)

{c,d}
(iv)

{a,d}
(v)

{c,d,a}

Question 38

38.

Which of the following are discrete variables?

a)	Wages of workers in a factory
b)	Heights of children in a class
c)	Rainfall at a place over a month
d)	Number of players in a team
e)	Marks obtained by student in a particular subject

(i)

{b,e}
(ii)

{d,e}
(iii)

{c,a,d}
(iv)

{b,e,d}
(v)

{a,d}

Question 39

39.

Convert the exclusive form of the class interval 43.5 - 53.5 to inclusive form

(i)

44

-

53
(ii)

43.5

-

53.5
(iii)

44

-

53.5
(iv)

43.5

-

53
(v)

44.5

-

52.5

Question 40

40.

Convert the inclusive form of the class interval 35 - 37 to exclusive form

(i)

35

-

37
(ii)

34

-

38
(iii)

34

-

37.5
(iv)

34.5

-

37.5
(v)

34.5

-

38

Question 41

41.

Convert the discontinuous form of the class interval 38 - 40 to continuous form

(i)

37.5

-

41
(ii)

37

-

41
(iii)

38

-

40
(iv)

37.5

-

40.5
(v)

37

-

40.5

Question 42

42.

Convert the continuous form of the class interval 32.5 - 36.5 to discontinuous form

(i)

32.5

-

36.5
(ii)

33

-

36.5
(iii)

33

-

36
(iv)

32.5

-

36
(v)

33.5

-

35.5

Question 43

43.

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

Class-Interval

15 - 23

24 - 32

33 - 41

42 - 50

51 - 59

60 - 68

Frequency

32

28

39

42

22

36

(i)

Class-Interval

14.5 - 22.5

23.5 - 31.5

32.5 - 40.5

41.5 - 49.5

50.5 - 58.5

59.5 - 67.5

Frequency

32

28

39

42

22

36
(ii)

Class-Interval

14.5 - 23

23.5 - 32

32.5 - 41

41.5 - 50

50.5 - 59

59.5 - 68

Frequency

32

28

39

42

22

36
(iii)

Class-Interval

15.5 - 23.5

24.5 - 32.5

33.5 - 41.5

42.5 - 50.5

51.5 - 59.5

60.5 - 68.5

Frequency

32

28

39

42

22

36
(iv)

Class-Interval

14.5 - 23.5

23.5 - 32.5

32.5 - 41.5

41.5 - 50.5

50.5 - 59.5

59.5 - 68.5

Frequency

32

28

39

42

22

36
(v)

Class-Interval

15 - 23

23 - 31

31 - 39

39 - 47

47 - 55

55 - 63

Frequency

49

37

19

42

47

12

Assignment Key