EduSahara™ Worksheet

Question 1

1.

(i)

19
(ii)

18
(iii)

16
(iv)

21
(v)

20

Question 2

2.

(i)

30
(ii)

28
(iii)

26
(iv)

32
(v)

29

Question 3

3.

(i)

4
(ii)

7
(iii)

5
(iv)

6
(v)

2

Question 4

4.

(i)

52
(ii)

46
(iii)

48
(iv)

50
(v)

49

Question 5

5.

(i)

193
4
(ii)

97
2
(iii)

99
2
(iv)

95
2
(v)

49

Question 6

6.

If the upper and lower limit of class interval are 56 and 48 respectively, then the class interval is

(i)

47.5

-

56.5
(ii)

48.5

-

55.5
(iii)

48

-

56
(iv)

47.5

-

56
(v)

48

-

56.5

Question 7

7.

If the lower and upper limit of class interval are 46 and 52 respectively, then the class interval is

(i)

45.5

-

52.5
(ii)

46

-

52.5
(iii)

46.5

-

51.5
(iv)

46

-

52
(v)

45.5

-

52

Question 8

8.

The class boundaries of 26 - 32 which is in exclusive form are

(i)

26

-

32
(ii)

26.5

-

31.5
(iii)

26

-

32.5
(iv)

25.5

-

32
(v)

25.5

-

32.5

Question 9

9.

The class boundaries of 16 - 25 which is in inclusive form are

(i)

15

-

26
(ii)

15.5

-

26
(iii)

16

-

25
(iv)

15

-

25.5
(v)

15.5

-

25.5

Question 10

10.

Convert the exclusive form of the class interval 10.5 - 19.5 to inclusive form

(i)

10.5

-

19.5
(ii)

11.5

-

18.5
(iii)

11

-

19
(iv)

10.5

-

19
(v)

11

-

19.5

Question 11

11.

Convert the inclusive form of the class interval 23 - 29 to exclusive form

(i)

23

-

29
(ii)

22

-

30
(iii)

22

-

29.5
(iv)

22.5

-

29.5
(v)

22.5

-

30

Question 12

12.

Convert the discontinuous form of the class interval 10 - 12 to continuous form

(i)

9.5

-

13
(ii)

9.5

-

12.5
(iii)

10

-

12
(iv)

9

-

12.5
(v)

9

-

13

Question 13

13.

Convert the continuous form of the class interval 30.5 - 35.5 to discontinuous form

(i)

30.5

-

35
(ii)

31

-

35.5
(iii)

31.5

-

34.5
(iv)

30.5

-

35.5
(v)

31

-

35

Question 14

14.

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

32 - 38

39 - 45

46 - 52

53 - 59

Frequency

23

28

17

13

(i)

7
(ii)

8
(iii)

10
(iv)

5
(v)

6

Question 15

15.

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

48 - 56

56 - 64

64 - 72

72 - 80

80 - 88

88 - 96

96 - 104

104 - 112

Frequency

16

25

8

21

5

14

2

27

(i)

7
(ii)

6
(iii)

11
(iv)

9
(v)

8

Question 16

16.

Which of the following are true?

a)	Each numerical figure in a data set is called an observation.
b)	The true lower limit of the inclusive form class interval 30 - 40 is 30.
c)	The number of times a particular observation occurs is called its frequency.
d)	The difference between the true upper limit and true lower limit is called the class mark.
e)	The true lower limit of the exclusive form class interval 30 - 40 is 30.

(i)

{a,c,e}
(ii)

{b,a}
(iii)

{b,d,e}
(iv)

{d,c}
(v)

{b,a,c}

Question 17

17.

Which of the following class intervals are in inclusive form?

a)	19 - 28 , 29 - 38 , 39 - 48,...
b)	18.5 - 28.5 , 28.5 - 38.5 , 38.5 - 48.5...
c)	49 - 58 , 59 - 68 , 69 - 78,...
d)	46 - 55 , 55 - 64 , 64 - 73...
e)	19 - 28 , 28 - 37 , 37 - 46,...

(i)

{e,b,a}
(ii)

{d,c}
(iii)

{d,c,a}
(iv)

{b,a}
(v)

{a,c}

Question 18

18.

In inclusive form representation, the observation
24
falls in which class?

(i)

13

-

23
(ii)

25

-

34
(iii)

14

-

24
(iv)

4

-

14
(v)

9

-

19

Question 19

19.

In exclusive form representation, the observation
28
falls in which class?

(i)

28

-

38
(ii)

18

-

28
(iii)

38

-

48
(iv)

23

-

28
(v)

33

-

43

Question 20

20.

The class boundaries of the class with frequency x is

Class-Interval

Frequency

18 - 26

23

27 - 35

x

36 - 44

18

45 - 53

10

54 - 62

2

(i)

26

-

36
(ii)

26

-

35.5
(iii)

27

-

35
(iv)

26.5

-

36
(v)

26.5

-

35.5

Question 21

21.

The class boundaries of the class with frequency x is

Class-Interval

Frequency

12 - 20

1

20 - 28

x

28 - 36

6

36 - 44

17

44 - 52

2

(i)

20

-

28
(ii)

20.5

-

27.5
(iii)

19.5

-

28.5
(iv)

20

-

28.5
(v)

19.5

-

28

Question 22

22.

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

Class-Interval

Frequency

33 - 38

13

39 - 44

4

45 - 50

18

51 - 56

2

57 - 62

x

(i)

57

-

62
(ii)

56.5

-

63
(iii)

56

-

63
(iv)

56.5

-

62.5
(v)

56

-

62.5

Question 23

23.

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

Class-Interval

Frequency

23 - 28

x

28 - 33

2

33 - 38

17

38 - 43

10

43 - 48

20

(i)

22.5

-

28
(ii)

23

-

28.5
(iii)

23

-

28
(iv)

23.5

-

27.5
(v)

22.5

-

28.5

Question 24

24.

The lower limit of the class with frequency x is

Class-Interval

Frequency

39 - 48

13

49 - 58

25

59 - 68

x

69 - 78

14

79 - 88

28

(i)

59
(ii)

58
(iii)

56
(iv)

60
(v)

61

Question 25

25.

The upper limit of the class with frequency x is

Class-Interval

Frequency

37 - 42

22

42 - 47

x

47 - 52

3

52 - 57

4

57 - 62

3

(i)

46
(ii)

47
(iii)

50
(iv)

44
(v)

48

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)

5
(ii)

6
(iii)

7
(iv)

10
(v)

8

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)

3
(ii)

5
(iii)

4
(iv)

1
(v)

6

Question 28

28.

The number of classes of class size
7
required to represent
the given random sample in exclusive form
2

5

11

13

14

20

23

23

26

33

33

36

37

38

39

40

40

41

43

45

46

47

48

48

48

50

50

(i)

7
(ii)

6
(iii)

5
(iv)

8
(v)

9

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
28
falls in which class?

(i)

26

-

31
(ii)

27

-

32
(iii)

28

-

33
(iv)

27.5

-

31.5
(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
-
9
as the first class,
then the observation
18
falls in which class?

(i)

17

-

25
(ii)

16.5

-

25.5
(iii)

17.5

-

24.5
(iv)

18

-

26
(v)

16

-

24

Question 31

31.

Given class interval table, find the sum of frequencies.

Class-Interval

33 - 38

38 - 43

43 - 48

48 - 53

53 - 58

58 - 63

Frequency

3

28

1

8

5

12

(i)

57
(ii)

58
(iii)

54
(iv)

60
(v)

56

Question 32

32.

Which of the following are continuous variables?

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

(i)

{c,a,b}
(ii)

{c,a}
(iii)

{e,b}
(iv)

{a,b,d}
(v)

{c,e,d}

Question 33

33.

Which of the following are discontinuous variables?

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

(i)

{d,c}
(ii)

{e,b,a}
(iii)

{b,a}
(iv)

{a,c}
(v)

{d,c,a}

Question 34

34.

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

Class-Interval

18 - 27

28 - 37

38 - 47

48 - 57

58 - 67

68 - 77

Frequency

12

38

45

21

20

26

(i)

Class-Interval

17.5 - 26.5

27.5 - 36.5

37.5 - 46.5

47.5 - 56.5

57.5 - 66.5

67.5 - 76.5

Frequency

12

38

45

21

20

26
(ii)

Class-Interval

17.5 - 27.5

27.5 - 37.5

37.5 - 47.5

47.5 - 57.5

57.5 - 67.5

67.5 - 77.5

Frequency

12

38

45

21

20

26
(iii)

Class-Interval

18.5 - 27.5

28.5 - 37.5

38.5 - 47.5

48.5 - 57.5

58.5 - 67.5

68.5 - 77.5

Frequency

12

38

45

21

20

26
(iv)

Class-Interval

18 - 27

27 - 36

36 - 45

45 - 54

54 - 63

63 - 72

Frequency

44

49

21

47

45

21
(v)

Class-Interval

17.5 - 27

27.5 - 37

37.5 - 47

47.5 - 57

57.5 - 67

67.5 - 77

Frequency

12

38

45

21

20

26

Question 35

35.

Which of the following class intervals are in exclusive form?

a)	22.5 - 32.5 , 32.5 - 42.5 , 42.5 - 52.5...
b)	23 - 32 , 33 - 42 , 43 - 52,...
c)	23 - 32 , 32 - 41 , 41 - 50,...
d)	53 - 62 , 63 - 72 , 73 - 82,...
e)	50 - 59 , 59 - 68 , 68 - 77...

(i)

{a,c,e}
(ii)

{b,a}
(iii)

{b,d,e}
(iv)

{b,a,c}
(v)

{d,c}

Question 36

36.

If the mean of the following frequency distribution is
8

1
24
,

find the value of 'x'.

Value

Frequency

5

2

6

5

7

2

8

6

9

x

10

4

11

3

(i)

5
(ii)

2
(iii)

1
(iv)

0
(v)

3

Question 37

37.

If the sum of the following frequency distribution is
17
,

find the value of 'x'.

Class-Interval

Frequency

10 - 16

1

17 - 23

3

24 - 30

6

31 - 37

3

38 - 44

x

(i)

4
(ii)

5
(iii)

1
(iv)

3
(v)

6

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)	Number of members in a family
b)	Population of cities
c)	Number of workers in a factory
d)	Rainfall at a place over a month
e)	Wages of workers in a factory

(i)

{a,d}
(ii)

{c,a,d}
(iii)

{b,e}
(iv)

{d,e}
(v)

{b,e,d}

Question 40

40.

Which of the following are discrete variables?

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

(i)

{e,a,c}
(ii)

{a,c}
(iii)

{b,d}
(iv)

{b,d,c}
(v)

{c,d}

Question 41

41.

Find the sum of frequencies for the given table

Value

22

24

33

41

65

69

79

81

82

Frequency

1

2

1

1

1

1

1

1

1

(i)

8
(ii)

13
(iii)

10
(iv)

9
(v)

11

Question 42

42.

Given class interval table, find the sum of frequencies.

Class-Interval

12 - 18

19 - 25

26 - 32

33 - 39

Frequency

30

12

25

15

(i)

84
(ii)

83
(iii)

82
(iv)

79
(v)

81

Question 43

43.

The class marks of a frequency distribution are
18.5 , 26.5 , 34.5 , 42.5
.

Find the class size and class intervals
in inclusive form

(i)

7

;

15

-

22

,

22

-

29

,

29

-

36

,

36

-

43
(ii)

8

;

16

-

23

,

24

-

31

,

32

-

39

,

40

-

47
(iii)

8

;

15

-

22

,

23

-

30

,

31

-

38

,

39

-

46
(iv)

8

;

14

-

21

,

22

-

29

,

30

-

37

,

38

-

45
(v)

8

;

14

-

22

,

22

-

30

,

30

-

38

,

38

-

46

Question 44

44.

The class marks of a frequency distribution are
33 , 41 , 49 , 57
.

Find the class size and class intervals
in exclusive form

(i)

8

;

28

-

36

,

36

-

44

,

44

-

52

,

52

-

60
(ii)

8

;

29

-

37

,

37

-

45

,

45

-

53

,

53

-

61
(iii)

10

;

28

-

37

,

38

-

47

,

48

-

57

,

58

-

67
(iv)

9

;

29

-

37

,

38

-

46

,

47

-

55

,

56

-

64
(v)

8

;

30

-

38

,

38

-

46

,

46

-

54

,

54

-

62

Assignment Key