EduSahara™ Worksheet

Question 1

1.

(i)

67
2
(ii)

137
4
(iii)

69
2
(iv)

35
(v)

71
2

Question 2

2.

(i)

27
(ii)

25
(iii)

26
(iv)

23
(v)

24

Question 3

3.

If the upper and lower limit of class interval are 34 and 24 respectively, then the class interval is

(i)

23.5

-

34
(ii)

24

-

34
(iii)

23.5

-

34.5
(iv)

24

-

34.5
(v)

24.5

-

33.5

Question 4

4.

If the lower and upper limit of class interval are 21 and 25 respectively, then the class interval is

(i)

20.5

-

25
(ii)

21

-

25
(iii)

20.5

-

25.5
(iv)

21

-

25.5
(v)

21.5

-

24.5

Question 5

5.

The class boundaries of 34 - 42 which is in exclusive form are

(i)

34

-

42
(ii)

34.5

-

41.5
(iii)

34

-

42.5
(iv)

33.5

-

42
(v)

33.5

-

42.5

Question 6

6.

The class boundaries of 32 - 39 which is in inclusive form are

(i)

31

-

40
(ii)

31

-

39.5
(iii)

31.5

-

40
(iv)

32

-

39
(v)

31.5

-

39.5

Question 7

7.

Convert the exclusive form of the class interval 18.5 - 27.5 to inclusive form

(i)

19.5

-

26.5
(ii)

19

-

27.5
(iii)

18.5

-

27.5
(iv)

19

-

27
(v)

18.5

-

27

Question 8

8.

Convert the inclusive form of the class interval 11 - 16 to exclusive form

(i)

10.5

-

17
(ii)

10

-

17
(iii)

10

-

16.5
(iv)

11

-

16
(v)

10.5

-

16.5

Question 9

9.

Convert the discontinuous form of the class interval 20 - 28 to continuous form

(i)

19.5

-

29
(ii)

19

-

28.5
(iii)

19

-

29
(iv)

19.5

-

28.5
(v)

20

-

28

Question 10

10.

Convert the continuous form of the class interval 28.5 - 37.5 to discontinuous form

(i)

28.5

-

37.5
(ii)

29

-

37.5
(iii)

29.5

-

36.5
(iv)

29

-

37
(v)

28.5

-

37

Question 11

11.

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

10 - 15

16 - 21

22 - 27

28 - 33

34 - 39

40 - 45

46 - 51

Frequency

17

26

13

28

30

16

7

(i)

4
(ii)

9
(iii)

5
(iv)

6
(v)

7

Question 12

12.

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

28 - 33

33 - 38

38 - 43

43 - 48

48 - 53

53 - 58

Frequency

13

14

16

15

21

2

(i)

2
(ii)

8
(iii)

5
(iv)

6
(v)

4

Question 13

13.

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

(i)

{e,c}
(ii)

{a,b,c}
(iii)

{a,e,d}
(iv)

{a,b}
(v)

{b,c,d}

Question 14

14.

Which of the following class intervals are in inclusive form?

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

(i)

{c,d,a}
(ii)

{b,a}
(iii)

{a,d}
(iv)

{e,b,a}
(v)

{c,d}

Question 15

15.

The class mark of the class with frequency x is

Class-Interval

Frequency

2 - 12

6

13 - 23

x

24 - 34

28

35 - 45

15

46 - 56

17

(i)

17
(ii)

18
(iii)

21
(iv)

19
(v)

16

Question 16

16.

The class mark of the class with frequency x is

Class-Interval

Frequency

10 - 20

22

20 - 30

23

30 - 40

2

40 - 50

1

50 - 60

x

(i)

57
(ii)

54
(iii)

56
(iv)

53
(v)

55

Question 17

17.

The mid value of the class with frequency x is

Class-Interval

Frequency

13 - 18

3

19 - 24

x

25 - 30

23

31 - 36

10

37 - 42

16

(i)

85
4
(ii)

41
2
(iii)

43
2
(iv)

45
2
(v)

22

Question 18

18.

The mid value of the class with frequency x is

Class-Interval

Frequency

11 - 16

16

16 - 21

30

21 - 26

1

26 - 31

x

31 - 36

24

(i)

57
2
(ii)

55
2
(iii)

113
4
(iv)

29
(v)

59
2

Question 19

19.

The class boundaries of the class with frequency x is

Class-Interval

Frequency

39 - 47

x

48 - 56

29

57 - 65

22

66 - 74

27

75 - 83

21

(i)

38

-

47.5
(ii)

39

-

47
(iii)

38.5

-

48
(iv)

38.5

-

47.5
(v)

38

-

48

Question 20

20.

The class boundaries of the class with frequency x is

Class-Interval

Frequency

26 - 31

26

31 - 36

x

36 - 41

7

41 - 46

24

46 - 51

11

(i)

31

-

36
(ii)

30.5

-

36
(iii)

30.5

-

36.5
(iv)

31

-

36.5
(v)

31.5

-

35.5

Question 21

21.

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

Class-Interval

Frequency

33 - 38

x

39 - 44

8

45 - 50

26

51 - 56

12

57 - 62

7

(i)

32.5

-

39
(ii)

33

-

38
(iii)

32

-

39
(iv)

32

-

38.5
(v)

32.5

-

38.5

Question 22

22.

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

Class-Interval

Frequency

20 - 28

21

28 - 36

x

36 - 44

11

44 - 52

29

52 - 60

19

(i)

28

-

36
(ii)

28

-

36.5
(iii)

27.5

-

36
(iv)

27.5

-

36.5
(v)

28.5

-

35.5

Question 23

23.

The lower limit of the class with frequency x is

Class-Interval

Frequency

50 - 59

15

60 - 69

x

70 - 79

23

80 - 89

27

90 - 99

19

(i)

60
(ii)

61
(iii)

62
(iv)

57
(v)

59

Question 24

24.

The upper limit of the class with frequency x is

Class-Interval

Frequency

14 - 21

11

21 - 28

30

28 - 35

30

35 - 42

29

42 - 49

x

(i)

52
(ii)

48
(iii)

49
(iv)

50
(v)

47

Question 25

25.

Given class interval table, find the sum of frequencies.

Class-Interval

11 - 16

17 - 22

23 - 28

29 - 34

35 - 40

41 - 46

47 - 52

Frequency

21

15

22

7

26

18

13

(i)

123
(ii)

124
(iii)

121
(iv)

119
(v)

122

Question 26

26.

Given class interval table, find the sum of frequencies.

Class-Interval

50 - 57

57 - 64

64 - 71

71 - 78

78 - 85

85 - 92

92 - 99

99 - 106

Frequency

15

8

14

11

19

5

10

9

(i)

92
(ii)

89
(iii)

93
(iv)

91
(v)

90

Question 27

27.

Which of the following are continuous variables?

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

(i)

{a,b,d}
(ii)

{a,b}
(iii)

{c,d}
(iv)

{b,d,e}
(v)

{a,c,e}

Question 28

28.

Which of the following are discontinuous 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)

{a,c}
(ii)

{d,a,c}
(iii)

{c,e}
(iv)

{b,e,c}
(v)

{b,e}

Question 29

29.

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

Class-Interval

10 - 16

17 - 23

24 - 30

31 - 37

38 - 44

45 - 51

Frequency

41

18

36

12

19

47

(i)

Class-Interval

9.5 - 16.5

16.5 - 23.5

23.5 - 30.5

30.5 - 37.5

37.5 - 44.5

44.5 - 51.5

Frequency

41

18

36

12

19

47
(ii)

Class-Interval

10 - 16

16 - 22

22 - 28

28 - 34

34 - 40

40 - 46

Frequency

25

32

15

25

32

36
(iii)

Class-Interval

9.5 - 16

16.5 - 23

23.5 - 30

30.5 - 37

37.5 - 44

44.5 - 51

Frequency

41

18

36

12

19

47
(iv)

Class-Interval

10.5 - 16.5

17.5 - 23.5

24.5 - 30.5

31.5 - 37.5

38.5 - 44.5

45.5 - 51.5

Frequency

41

18

36

12

19

47
(v)

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

41

18

36

12

19

47

Question 30

30.

Which of the following class intervals are in exclusive form?

a)	51 - 60 , 61 - 70 , 71 - 80,...
b)	21 - 30 , 31 - 40 , 41 - 50,...
c)	20.5 - 30.5 , 30.5 - 40.5 , 40.5 - 50.5...
d)	48 - 57 , 57 - 66 , 66 - 75...
e)	21 - 30 , 30 - 39 , 39 - 48,...

(i)

{c,d,e}
(ii)

{a,c}
(iii)

{a,b,e}
(iv)

{b,d}
(v)

{a,c,d}

Question 31

31.

If the sum of the following frequency distribution is
26
,

find the value of 'x'.

Value

Frequency

3

1

5

3

6

2

7

2

8

1

9

4

10

3

11

2

12

x

13

3

(i)

5
(ii)

6
(iii)

3
(iv)

8
(v)

4

Question 32

32.

Emperical relation between Mean, Median and Mode is

(i)

Mode = 3Median - 2Mean
(ii)

Mode = 3Median + 2Mean
(iii)

Mode = 2Median - 3Mean
(iv)

Mode = 3Median - 3Mean

Question 33

33.

Find the Mode when Median is 69.3 and Mean is 33.5.

(i)

139.9
(ii)

142.9
(iii)

141.9
(iv)

138.9
(v)

140.9

Question 34

34.

Find the Mode when Median is 79 and Mean is 62.

(i)

114
(ii)

111
(iii)

112
(iv)

113
(v)

115

Question 35

35.

The mean and median of a uni-modal grouped data are 71.1 and 35.8 respectively. Find the mode of the data.

(i)

140.7
(ii)

142.7
(iii)

141.7
(iv)

143.7
(v)

139.7

Question 36

36.

The mean and median of a uni-modal grouped data are 59 and 38 respectively. Find the mode of the data.

(i)

102
(ii)

103
(iii)

100
(iv)

99
(v)

101

Question 37

37.

Which of the following are continuous variables?

a)	Population of cities
b)	Number of workers in a factory
c)	Number of players in a team
d)	Temperature at a place over a month
e)	Rainfall at a place over a month

(i)

{d,e}
(ii)

{b,e}
(iii)

{a,d}
(iv)

{c,a,d}
(v)

{b,e,d}

Question 38

38.

Which of the following are discrete variables?

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

(i)

{c,d}
(ii)

{e,b,a}
(iii)

{b,a}
(iv)

{a,d}
(v)

{c,d,a}

Assignment Key