EduSahara™ Worksheet

Question 1

1.

(i)

14
(ii)

10
(iii)

11
(iv)

9
(v)

12

Question 2

2.

(i)

44
(ii)

48
(iii)

42
(iv)

45
(v)

46

Question 3

3.

(i)

8
(ii)

10
(iii)

6
(iv)

11
(v)

9

Question 4

4.

(i)

61
2
(ii)

57
2
(iii)

30
(iv)

117
4
(v)

59
2

Question 5

5.

(i)

33
(ii)

34
(iii)

37
(iv)

35
(v)

36

Question 6

6.

If the upper and lower limit of class interval are 21 and 15 respectively, then the class interval is

(i)

15

-

21
(ii)

14.5

-

21
(iii)

14.5

-

21.5
(iv)

15

-

21.5
(v)

15.5

-

20.5

Question 7

7.

If the lower and upper limit of class interval are 31 and 34 respectively, then the class interval is

(i)

31

-

34.5
(ii)

30.5

-

34
(iii)

30.5

-

34.5
(iv)

31

-

34
(v)

31.5

-

33.5

Question 8

8.

The class boundaries of 37 - 46 which is in exclusive form are

(i)

36.5

-

46.5
(ii)

37

-

46
(iii)

37.5

-

45.5
(iv)

36.5

-

46
(v)

37

-

46.5

Question 9

9.

The class boundaries of 49 - 59 which is in inclusive form are

(i)

48

-

59.5
(ii)

49

-

59
(iii)

48.5

-

60
(iv)

48.5

-

59.5
(v)

48

-

60

Question 10

10.

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

Class-Interval

Frequency

20 - 25

x

26 - 31

7

32 - 37

17

38 - 43

17

44 - 49

9

(i)

19

-

25.5
(ii)

19.5

-

25.5
(iii)

19

-

26
(iv)

19.5

-

26
(v)

20

-

25

Question 11

11.

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

Class-Interval

Frequency

45 - 53

2

53 - 61

26

61 - 69

x

69 - 77

22

77 - 85

5

(i)

61

-

69.5
(ii)

61

-

69
(iii)

61.5

-

68.5
(iv)

60.5

-

69
(v)

60.5

-

69.5

Question 12

12.

The lower limit of the class with frequency x is

Class-Interval

Frequency

42 - 52

x

53 - 63

22

64 - 74

30

75 - 85

2

86 - 96

9

(i)

39
(ii)

42
(iii)

43
(iv)

41
(v)

45

Question 13

13.

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

47 - 53

54 - 60

61 - 67

68 - 74

75 - 81

82 - 88

89 - 95

Frequency

8

24

3

14

3

19

14

(i)

10
(ii)

6
(iii)

8
(iv)

5
(v)

7

Question 14

14.

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

31 - 38

38 - 45

45 - 52

52 - 59

59 - 66

66 - 73

73 - 80

Frequency

18

10

22

25

26

20

16

(i)

9
(ii)

8
(iii)

4
(iv)

6
(v)

7

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 10 - 20 is 10.
c)	The true lower limit of the inclusive form class interval 10 - 20 is 10.
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)

{c,d}
(ii)

{a,c,e}
(iii)

{b,d,e}
(iv)

{a,b}
(v)

{a,b,d}

Question 16

16.

Which of the following class intervals are in inclusive form?

a)	49 - 56 , 57 - 64 , 65 - 72,...
b)	24.5 - 32.5 , 32.5 - 40.5 , 40.5 - 48.5...
c)	46 - 53 , 53 - 60 , 60 - 67...
d)	25 - 32 , 33 - 40 , 41 - 48,...
e)	25 - 32 , 32 - 39 , 39 - 46,...

(i)

{a,d}
(ii)

{c,d,a}
(iii)

{e,b,a}
(iv)

{b,a}
(v)

{c,d}

Question 17

17.

In inclusive form representation, the observation
43
falls in which class?

(i)

44

-

53
(ii)

32

-

42
(iii)

33

-

43
(iv)

28

-

38
(v)

23

-

33

Question 18

18.

In exclusive form representation, the observation
30
falls in which class?

(i)

20

-

30
(ii)

30

-

40
(iii)

35

-

45
(iv)

40

-

50
(v)

25

-

30

Question 19

19.

The class mark of the class with frequency x is

Class-Interval

Frequency

2 - 12

24

13 - 23

12

24 - 34

12

35 - 45

4

46 - 56

x

(i)

49
(ii)

52
(iii)

50
(iv)

53
(v)

51

Question 20

20.

The class mark of the class with frequency x is

Class-Interval

Frequency

6 - 16

29

16 - 26

1

26 - 36

x

36 - 46

21

46 - 56

27

(i)

32
(ii)

31
(iii)

34
(iv)

28
(v)

30

Question 21

21.

The mid value of the class with frequency x is

Class-Interval

Frequency

19 - 24

17

25 - 30

3

31 - 36

x

37 - 42

22

43 - 48

1

(i)

34
(ii)

133
4
(iii)

69
2
(iv)

65
2
(v)

67
2

Question 22

22.

The mid value of the class with frequency x is

Class-Interval

Frequency

15 - 25

12

25 - 35

x

35 - 45

14

45 - 55

30

55 - 65

7

(i)

29
(ii)

30
(iii)

31
(iv)

28
(v)

32

Question 23

23.

The class boundaries of the class with frequency x is

Class-Interval

Frequency

38 - 44

28

45 - 51

8

52 - 58

x

59 - 65

11

66 - 72

8

(i)

51

-

59
(ii)

51.5

-

58.5
(iii)

51.5

-

59
(iv)

51

-

58.5
(v)

52

-

58

Question 24

24.

The class boundaries of the class with frequency x is

Class-Interval

Frequency

24 - 29

11

29 - 34

23

34 - 39

x

39 - 44

10

44 - 49

13

(i)

34

-

39
(ii)

33.5

-

39
(iii)

34.5

-

38.5
(iv)

34

-

39.5
(v)

33.5

-

39.5

Question 25

25.

The upper limit of the class with frequency x is

Class-Interval

Frequency

14 - 23

18

23 - 32

13

32 - 41

21

41 - 50

1

50 - 59

x

(i)

59
(ii)

58
(iii)

61
(iv)

57
(v)

60

Question 26

26.

If the sample data with range 50 has to be divided into 8 class intervals, then the length of the class is

(i)

8
(ii)

6
(iii)

10
(iv)

7
(v)

4

Question 27

27.

If the length of the class is 12, then the number of class intervals needed to represent data with range 60 is

(i)

5
(ii)

4
(iii)

8
(iv)

3
(v)

6

Question 28

28.

The number of classes of class size
10
required to represent
the given random sample in exclusive form
1

3

3

3

5

5

7

7

8

9

11

11

14

17

19

20

20

21

22

23

23

24

24

25

26

27

33

33

37

42

42

44

45

46

46

48

48

48

50

(i)

4
(ii)

5
(iii)

6
(iv)

2
(v)

8

Question 29

29.

If some random sample data is arranged in a frequency distribution table in
inclusive form
with
1
-
10
as the first class,
then the observation
24
falls in which class?

(i)

20

-

29
(ii)

21.5

-

29.5
(iii)

22

-

31
(iv)

21

-

30
(v)

20.5

-

30.5

Question 30

30.

If some random sample data is arranged in a frequency distribution table in
exclusive form
with
2
-
7
as the first class,
then the observation
27
falls in which class?

(i)

26

-

31
(ii)

27

-

32
(iii)

28

-

33
(iv)

26.5

-

32.5
(v)

27.5

-

31.5

Question 31

31.

Given class interval table, find the sum of frequencies.

Class-Interval

43 - 50

50 - 57

57 - 64

64 - 71

71 - 78

78 - 85

85 - 92

92 - 99

Frequency

18

26

14

29

14

22

16

5

(i)

144
(ii)

143
(iii)

141
(iv)

147
(v)

145

Question 32

32.

Which of the following are continuous variables?

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

(i)

{a,b,e}
(ii)

{a,c,d}
(iii)

{a,c}
(iv)

{c,d,e}
(v)

{b,d}

Question 33

33.

Which of the following are discontinuous variables?

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

(i)

{b,e}
(ii)

{a,d}
(iii)

{c,a,d}
(iv)

{b,e,d}
(v)

{d,e}

Question 34

34.

Which of the following class intervals are in exclusive form?

a)	26.5 - 33.5 , 33.5 - 40.5 , 40.5 - 47.5...
b)	27 - 33 , 34 - 40 , 41 - 47,...
c)	48 - 54 , 55 - 61 , 62 - 68,...
d)	45 - 51 , 51 - 57 , 57 - 63...
e)	27 - 33 , 33 - 39 , 39 - 45,...

(i)

{b,a}
(ii)

{b,a,d}
(iii)

{a,d,e}
(iv)

{c,d}
(v)

{b,c,e}

Question 35

35.

If the sum of the following frequency distribution is
29
,

find the value of 'x'.

Value

Frequency

5

7

6

7

7

2

8

6

9

x

10

3

(i)

5
(ii)

3
(iii)

2
(iv)

6
(v)

4

Question 36

36.

If the sum of the following frequency distribution is
43
,

find the value of 'x'.

Class-Interval

Frequency

20 - 26

9

27 - 33

8

34 - 40

x

41 - 47

2

48 - 54

7

55 - 61

10

(i)

7
(ii)

8
(iii)

6
(iv)

4
(v)

10

Question 37

37.

Which of the following are continuous variables?

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

(i)

{a,c}
(ii)

{d,c}
(iii)

{e,b,a}
(iv)

{b,a}
(v)

{d,c,a}

Question 38

38.

Which of the following are discrete variables?

a)	Number of members in a family
b)	Number of players in a team
c)	Temperature at a place over a month
d)	Wages of workers in a factory
e)	Heights of children in a class

(i)

{d,b}
(ii)

{d,b,a}
(iii)

{c,a}
(iv)

{e,c,a}
(v)

{a,b}

Question 39

39.

Convert the exclusive form of the class interval 32.5 - 37.5 to inclusive form

(i)

33.5

-

36.5
(ii)

32.5

-

37
(iii)

33

-

37.5
(iv)

32.5

-

37.5
(v)

33

-

37

Question 40

40.

Convert the inclusive form of the class interval 13 - 18 to exclusive form

(i)

13

-

18
(ii)

12.5

-

18.5
(iii)

12.5

-

19
(iv)

12

-

19
(v)

12

-

18.5

Question 41

41.

Convert the discontinuous form of the class interval 47 - 53 to continuous form

(i)

46.5

-

54
(ii)

47

-

53
(iii)

46

-

54
(iv)

46

-

53.5
(v)

46.5

-

53.5

Question 42

42.

Convert the continuous form of the class interval 31.5 - 34.5 to discontinuous form

(i)

31.5

-

34
(ii)

32.5

-

33.5
(iii)

32

-

34
(iv)

31.5

-

34.5
(v)

32

-

34.5

Question 43

43.

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

Class-Interval

18 - 24

25 - 31

32 - 38

39 - 45

46 - 52

53 - 59

Frequency

46

28

10

33

33

48

(i)

Class-Interval

17.5 - 24

24.5 - 31

31.5 - 38

38.5 - 45

45.5 - 52

52.5 - 59

Frequency

46

28

10

33

33

48
(ii)

Class-Interval

18 - 24

24 - 30

30 - 36

36 - 42

42 - 48

48 - 54

Frequency

14

19

27

47

32

24
(iii)

Class-Interval

17.5 - 24.5

24.5 - 31.5

31.5 - 38.5

38.5 - 45.5

45.5 - 52.5

52.5 - 59.5

Frequency

46

28

10

33

33

48
(iv)

Class-Interval

18.5 - 24.5

25.5 - 31.5

32.5 - 38.5

39.5 - 45.5

46.5 - 52.5

53.5 - 59.5

Frequency

46

28

10

33

33

48
(v)

Class-Interval

17.5 - 23.5

24.5 - 30.5

31.5 - 37.5

38.5 - 44.5

45.5 - 51.5

52.5 - 58.5

Frequency

46

28

10

33

33

48

Assignment Key