EduSahara™ Worksheet

Question 1

1.

(i)

24
(ii)

20
(iii)

26
(iv)

22
(v)

23

Question 2

2.

(i)

32
(ii)

30
(iii)

31
(iv)

33
(v)

28

Question 3

3.

(i)

5
(ii)

3
(iii)

4
(iv)

1
(v)

2

Question 4

4.

(i)

23
(ii)

22
(iii)

21
(iv)

18
(v)

20

Question 5

5.

(i)

42
(ii)

43
(iii)

40
(iv)

41
(v)

39

Question 6

6.

If the upper and lower limit of class interval are 14 and 10 respectively, then the class interval is

(i)

10

-

14.5
(ii)

9.5

-

14
(iii)

10

-

14
(iv)

9.5

-

14.5
(v)

10.5

-

13.5

Question 7

7.

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

(i)

46

-

55
(ii)

46

-

55.5
(iii)

45.5

-

55
(iv)

46.5

-

54.5
(v)

45.5

-

55.5

Question 8

8.

The class boundaries of 38 - 40 which is in exclusive form are

(i)

37.5

-

40
(ii)

37.5

-

40.5
(iii)

38

-

40
(iv)

38

-

40.5
(v)

38.5

-

39.5

Question 9

9.

The class boundaries of 37 - 43 which is in inclusive form are

(i)

36

-

44
(ii)

36.5

-

44
(iii)

36

-

43.5
(iv)

37

-

43
(v)

36.5

-

43.5

Question 10

10.

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

Class-Interval

Frequency

43 - 50

1

51 - 58

11

59 - 66

1

67 - 74

17

75 - 82

x

(i)

74

-

83
(ii)

74

-

82.5
(iii)

74.5

-

83
(iv)

74.5

-

82.5
(v)

75

-

82

Question 11

11.

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

Class-Interval

Frequency

44 - 52

x

52 - 60

25

60 - 68

13

68 - 76

26

76 - 84

25

(i)

44

-

52.5
(ii)

44.5

-

51.5
(iii)

44

-

52
(iv)

43.5

-

52
(v)

43.5

-

52.5

Question 12

12.

The lower limit of the class with frequency x is

Class-Interval

Frequency

32 - 37

29

38 - 43

x

44 - 49

23

50 - 55

28

56 - 61

24

(i)

40
(ii)

38
(iii)

36
(iv)

37
(v)

39

Question 13

13.

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

36 - 46

47 - 57

58 - 68

69 - 79

80 - 90

91 - 101

Frequency

13

28

3

23

28

12

(i)

12
(ii)

13
(iii)

9
(iv)

11
(v)

10

Question 14

14.

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

45 - 55

55 - 65

65 - 75

75 - 85

Frequency

27

22

30

12

(i)

8
(ii)

11
(iii)

9
(iv)

10
(v)

13

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 inclusive form class interval 50 - 60 is 50.
c)	Each numerical figure in a data set is called an observation.
d)	The true lower limit of the exclusive form class interval 50 - 60 is 50.
e)	The number of times a particular observation occurs is called its frequency.

(i)

{a,c}
(ii)

{b,d}
(iii)

{a,c,d}
(iv)

{a,b,e}
(v)

{c,d,e}

Question 16

16.

Which of the following class intervals are in inclusive form?

a)	36 - 43 , 44 - 51 , 52 - 59,...
b)	11.5 - 19.5 , 19.5 - 27.5 , 27.5 - 35.5...
c)	33 - 40 , 40 - 47 , 47 - 54...
d)	12 - 19 , 20 - 27 , 28 - 35,...
e)	12 - 19 , 19 - 26 , 26 - 33,...

(i)

{a,d}
(ii)

{c,d}
(iii)

{b,a}
(iv)

{c,d,a}
(v)

{e,b,a}

Question 17

17.

In inclusive form representation, the observation
56
falls in which class?

(i)

36

-

46
(ii)

46

-

56
(iii)

57

-

66
(iv)

41

-

51
(v)

45

-

55

Question 18

18.

In exclusive form representation, the observation
29
falls in which class?

(i)

29

-

39
(ii)

24

-

29
(iii)

34

-

44
(iv)

19

-

29
(v)

39

-

49

Question 19

19.

The class mark of the class with frequency x is

Class-Interval

Frequency

9 - 19

25

20 - 30

30

31 - 41

x

42 - 52

27

53 - 63

18

(i)

36
(ii)

39
(iii)

33
(iv)

37
(v)

35

Question 20

20.

The class mark of the class with frequency x is

Class-Interval

Frequency

3 - 13

16

13 - 23

19

23 - 33

29

33 - 43

28

43 - 53

x

(i)

47
(ii)

50
(iii)

46
(iv)

49
(v)

48

Question 21

21.

The mid value of the class with frequency x is

Class-Interval

Frequency

11 - 16

10

17 - 22

3

23 - 28

x

29 - 34

21

35 - 40

14

(i)

53
2
(ii)

49
2
(iii)

26
(iv)

101
4
(v)

51
2

Question 22

22.

The mid value of the class with frequency x is

Class-Interval

Frequency

3 - 13

18

13 - 23

6

23 - 33

30

33 - 43

x

43 - 53

3

(i)

37
(ii)

38
(iii)

41
(iv)

39
(v)

36

Question 23

23.

The class boundaries of the class with frequency x is

Class-Interval

Frequency

12 - 19

9

20 - 27

2

28 - 35

5

36 - 43

x

44 - 51

15

(i)

35.5

-

44
(ii)

35

-

44
(iii)

35

-

43.5
(iv)

35.5

-

43.5
(v)

36

-

43

Question 24

24.

The class boundaries of the class with frequency x is

Class-Interval

Frequency

40 - 45

6

45 - 50

15

50 - 55

17

55 - 60

x

60 - 65

23

(i)

55

-

60
(ii)

54.5

-

60.5
(iii)

54.5

-

60
(iv)

55.5

-

59.5
(v)

55

-

60.5

Question 25

25.

The upper limit of the class with frequency x is

Class-Interval

Frequency

47 - 56

18

56 - 65

18

65 - 74

x

74 - 83

14

83 - 92

25

(i)

75
(ii)

73
(iii)

72
(iv)

76
(v)

74

Question 26

26.

If the sample data with range 50 has to be divided into 7 class intervals, then the length of the class is

(i)

5
(ii)

9
(iii)

8
(iv)

7
(v)

10

Question 27

27.

If the length of the class is 14, then the number of class intervals needed to represent data with range 70 is

(i)

7
(ii)

6
(iii)

5
(iv)

3
(v)

4

Question 28

28.

The number of classes of class size
6
required to represent
the given random sample in exclusive form
1

2

4

6

7

10

12

16

17

21

22

22

22

28

28

28

30

32

34

34

34

41

43

45

49

(i)

8
(ii)

11
(iii)

9
(iv)

7
(v)

10

Question 29

29.

If some random sample data is arranged in a frequency distribution table in
inclusive form
with
6
-
12
as the first class,
then the observation
21
falls in which class?

(i)

20.5

-

25.5
(ii)

21

-

27
(iii)

19

-

25
(iv)

20

-

26
(v)

19.5

-

26.5

Question 30

30.

If some random sample data is arranged in a frequency distribution table in
exclusive form
with
4
-
14
as the first class,
then the observation
30
falls in which class?

(i)

25

-

35
(ii)

24

-

34
(iii)

23

-

33
(iv)

23.5

-

34.5
(v)

24.5

-

33.5

Question 31

31.

Given class interval table, find the sum of frequencies.

Class-Interval

26 - 32

32 - 38

38 - 44

44 - 50

50 - 56

Frequency

21

27

1

6

23

(i)

79
(ii)

77
(iii)

81
(iv)

76
(v)

78

Question 32

32.

Which of the following are continuous variables?

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

(i)

{a,b,d}
(ii)

{e,b}
(iii)

{c,a,b}
(iv)

{c,a}
(v)

{c,e,d}

Question 33

33.

Which of the following are discontinuous 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)

{a,c}
(ii)

{d,a,c}
(iii)

{c,e}
(iv)

{b,e,c}
(v)

{b,e}

Question 34

34.

Which of the following class intervals are in exclusive form?

a)	28 - 36 , 36 - 44 , 44 - 52,...
b)	27.5 - 36.5 , 36.5 - 45.5 , 45.5 - 54.5...
c)	28 - 36 , 37 - 45 , 46 - 54,...
d)	55 - 63 , 64 - 72 , 73 - 81,...
e)	52 - 60 , 60 - 68 , 68 - 76...

(i)

{c,d,e}
(ii)

{d,b}
(iii)

{c,a,b}
(iv)

{c,a}
(v)

{a,b,e}

Question 35

35.

If the sum of the following frequency distribution is
39
,

find the value of 'x'.

Value

Frequency

1

1

2

1

3

4

4

5

5

4

6

1

7

5

8

3

9

x

10

3

11

1

12

3

13

2

14

1

(i)

8
(ii)

6
(iii)

3
(iv)

4
(v)

5

Question 36

36.

If the sum of the following frequency distribution is
30
,

find the value of 'x'.

Class-Interval

Frequency

10 - 20

7

21 - 31

6

32 - 42

1

43 - 53

x

54 - 64

6

(i)

10
(ii)

11
(iii)

9
(iv)

12
(v)

7

Question 37

37.

Which of the following are continuous variables?

a)	Temperature at a place over a month
b)	Number of workers in a factory
c)	Marks obtained by student in a particular subject
d)	Weights of persons in a group
e)	Number of members in a family

(i)

{e,b,a}
(ii)

{c,d,a}
(iii)

{c,d}
(iv)

{b,a}
(v)

{a,d}

Question 38

38.

Which of the following are discrete variables?

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

(i)

{c,d,a}
(ii)

{e,b,a}
(iii)

{a,d}
(iv)

{c,d}
(v)

{b,a}

Question 39

39.

Convert the exclusive form of the class interval 49.5 - 60.5 to inclusive form

(i)

49.5

-

60.5
(ii)

49.5

-

60
(iii)

50

-

60.5
(iv)

50.5

-

59.5
(v)

50

-

60

Question 40

40.

Convert the inclusive form of the class interval 34 - 40 to exclusive form

(i)

33

-

41
(ii)

33

-

40.5
(iii)

34

-

40
(iv)

33.5

-

40.5
(v)

33.5

-

41

Question 41

41.

Convert the discontinuous form of the class interval 13 - 15 to continuous form

(i)

12

-

15.5
(ii)

12.5

-

15.5
(iii)

13

-

15
(iv)

12

-

16
(v)

12.5

-

16

Question 42

42.

Convert the continuous form of the class interval 14.5 - 17.5 to discontinuous form

(i)

14.5

-

17.5
(ii)

15

-

17
(iii)

15.5

-

16.5
(iv)

15

-

17.5
(v)

14.5

-

17

Question 43

43.

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

Class-Interval

12 - 22

23 - 33

34 - 44

45 - 55

56 - 66

67 - 77

Frequency

19

44

14

14

17

24

(i)

Class-Interval

12.5 - 22.5

23.5 - 33.5

34.5 - 44.5

45.5 - 55.5

56.5 - 66.5

67.5 - 77.5

Frequency

19

44

14

14

17

24
(ii)

Class-Interval

12 - 22

22 - 32

32 - 42

42 - 52

52 - 62

62 - 72

Frequency

44

41

32

34

40

47
(iii)

Class-Interval

11.5 - 22

22.5 - 33

33.5 - 44

44.5 - 55

55.5 - 66

66.5 - 77

Frequency

19

44

14

14

17

24
(iv)

Class-Interval

11.5 - 22.5

22.5 - 33.5

33.5 - 44.5

44.5 - 55.5

55.5 - 66.5

66.5 - 77.5

Frequency

19

44

14

14

17

24
(v)

Class-Interval

11.5 - 21.5

22.5 - 32.5

33.5 - 43.5

44.5 - 54.5

55.5 - 65.5

66.5 - 76.5

Frequency

19

44

14

14

17

24

Assignment Key