EduSahara™ Worksheet

Question 1

1.

(i)

52
(ii)

50
(iii)

49
(iv)

51
(v)

48

Question 2

2.

(i)

23
(ii)

27
(iii)

24
(iv)

25
(v)

22

Question 3

3.

(i)

5
(ii)

6
(iii)

3
(iv)

1
(v)

4

Question 4

4.

(i)

165
4
(ii)

83
2
(iii)

85
2
(iv)

42
(v)

81
2

Question 5

5.

(i)

45
(ii)

42
(iii)

47
(iv)

46
(v)

44

Question 6

6.

If the upper and lower limit of class interval are 30 and 28 respectively, then the class interval is

(i)

27.5

-

30.5
(ii)

27.5

-

30
(iii)

28.5

-

29.5
(iv)

28

-

30.5
(v)

28

-

30

Question 7

7.

If the lower and upper limit of class interval are 46 and 50 respectively, then the class interval is

(i)

46

-

50.5
(ii)

45.5

-

50
(iii)

46

-

50
(iv)

46.5

-

49.5
(v)

45.5

-

50.5

Question 8

8.

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

(i)

36

-

39
(ii)

35.5

-

39.5
(iii)

36.5

-

38.5
(iv)

36

-

39.5
(v)

35.5

-

39

Question 9

9.

The class boundaries of 19 - 28 which is in inclusive form are

(i)

18.5

-

28.5
(ii)

19

-

28
(iii)

18

-

29
(iv)

18

-

28.5
(v)

18.5

-

29

Question 10

10.

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

Class-Interval

Frequency

14 - 19

11

20 - 25

x

26 - 31

8

32 - 37

24

38 - 43

1

(i)

20

-

25
(ii)

19

-

25.5
(iii)

19.5

-

26
(iv)

19

-

26
(v)

19.5

-

25.5

Question 11

11.

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

Class-Interval

Frequency

22 - 29

12

29 - 36

x

36 - 43

7

43 - 50

15

50 - 57

10

(i)

29

-

36.5
(ii)

28.5

-

36.5
(iii)

29

-

36
(iv)

28.5

-

36
(v)

29.5

-

35.5

Question 12

12.

The lower limit of the class with frequency x is

Class-Interval

Frequency

35 - 44

28

45 - 54

x

55 - 64

13

65 - 74

6

75 - 84

24

(i)

46
(ii)

48
(iii)

42
(iv)

45
(v)

44

Question 13

13.

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

33 - 39

40 - 46

47 - 53

54 - 60

61 - 67

Frequency

4

12

22

19

11

(i)

8
(ii)

6
(iii)

9
(iv)

4
(v)

7

Question 14

14.

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

39 - 45

45 - 51

51 - 57

57 - 63

63 - 69

Frequency

28

27

24

25

12

(i)

3
(ii)

7
(iii)

9
(iv)

5
(v)

6

Question 15

15.

Which of the following are true?

a)	The true lower limit of the exclusive form class interval 10 - 20 is 10.
b)	The difference between the true upper limit and true lower limit is called the class mark.
c)	Each numerical figure in a data set is called an observation.
d)	The true lower limit of the inclusive form class interval 10 - 20 is 10.
e)	The number of times a particular observation occurs is called its frequency.

(i)

{d,c}
(ii)

{a,c,e}
(iii)

{b,a}
(iv)

{b,a,c}
(v)

{b,d,e}

Question 16

16.

Which of the following class intervals are in inclusive form?

a)	16 - 25 , 25 - 34 , 34 - 43,...
b)	16 - 25 , 26 - 35 , 36 - 45,...
c)	46 - 55 , 56 - 65 , 66 - 75,...
d)	15.5 - 25.5 , 25.5 - 35.5 , 35.5 - 45.5...
e)	43 - 52 , 52 - 61 , 61 - 70...

(i)

{d,c,b}
(ii)

{d,c}
(iii)

{b,c}
(iv)

{e,a,b}
(v)

{a,b}

Question 17

17.

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

(i)

8

-

18
(ii)

13

-

23
(iii)

17

-

27
(iv)

18

-

28
(v)

29

-

38

Question 18

18.

In exclusive form representation, the observation
25
falls in which class?

(i)

20

-

25
(ii)

15

-

25
(iii)

30

-

40
(iv)

35

-

45
(v)

25

-

35

Question 19

19.

The class mark of the class with frequency x is

Class-Interval

Frequency

16 - 26

1

27 - 37

19

38 - 48

27

49 - 59

x

60 - 70

27

(i)

52
(ii)

54
(iii)

55
(iv)

57
(v)

53

Question 20

20.

The class mark of the class with frequency x is

Class-Interval

Frequency

12 - 17

17

17 - 22

8

22 - 27

x

27 - 32

20

32 - 37

22

(i)

97
4
(ii)

51
2
(iii)

25
(iv)

49
2
(v)

47
2

Question 21

21.

The mid value of the class with frequency x is

Class-Interval

Frequency

14 - 24

4

25 - 35

x

36 - 46

23

47 - 57

22

58 - 68

13

(i)

32
(ii)

29
(iii)

31
(iv)

27
(v)

30

Question 22

22.

The mid value of the class with frequency x is

Class-Interval

Frequency

4 - 9

10

9 - 14

29

14 - 19

x

19 - 24

4

24 - 29

6

(i)

35
2
(ii)

33
2
(iii)

65
4
(iv)

17
(v)

31
2

Question 23

23.

The class boundaries of the class with frequency x is

Class-Interval

Frequency

22 - 27

25

28 - 33

14

34 - 39

x

40 - 45

17

46 - 51

26

(i)

33.5

-

39.5
(ii)

33.5

-

40
(iii)

33

-

39.5
(iv)

33

-

40
(v)

34

-

39

Question 24

24.

The class boundaries of the class with frequency x is

Class-Interval

Frequency

10 - 17

15

17 - 24

3

24 - 31

28

31 - 38

x

38 - 45

17

(i)

30.5

-

38.5
(ii)

30.5

-

38
(iii)

31

-

38.5
(iv)

31.5

-

37.5
(v)

31

-

38

Question 25

25.

The upper limit of the class with frequency x is

Class-Interval

Frequency

24 - 31

1

31 - 38

16

38 - 45

26

45 - 52

2

52 - 59

x

(i)

58
(ii)

59
(iii)

60
(iv)

61
(v)

57

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)

10
(iii)

4
(iv)

7
(v)

6

Question 27

27.

If the length of the class is 5, then the number of class intervals needed to represent data with range 30 is

(i)

5
(ii)

3
(iii)

6
(iv)

7
(v)

8

Question 28

28.

The number of classes of class size
9
required to represent
the given random sample in exclusive form
1

2

2

2

3

3

5

7

7

7

9

9

9

10

11

11

18

19

20

21

21

25

29

29

34

34

36

36

41

43

44

46

(i)

7
(ii)

3
(iii)

6
(iv)

5
(v)

9

Question 29

29.

If some random sample data is arranged in a frequency distribution table in
inclusive form
with
2
-
8
as the first class,
then the observation
21
falls in which class?

(i)

16.5

-

21.5
(ii)

15.5

-

22.5
(iii)

17

-

23
(iv)

16

-

22
(v)

15

-

21

Question 30

30.

If some random sample data is arranged in a frequency distribution table in
exclusive form
with
2
-
12
as the first class,
then the observation
27
falls in which class?

(i)

21

-

31
(ii)

22.5

-

31.5
(iii)

21.5

-

32.5
(iv)

22

-

32
(v)

23

-

33

Question 31

31.

Given class interval table, find the sum of frequencies.

Class-Interval

48 - 54

54 - 60

60 - 66

66 - 72

72 - 78

78 - 84

Frequency

4

25

7

5

25

16

(i)

82
(ii)

79
(iii)

85
(iv)

83
(v)

81

Question 32

32.

Which of the following are continuous variables?

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

(i)

{b,c,e}
(ii)

{a,b}
(iii)

{a,b,c}
(iv)

{a,d,e}
(v)

{d,c}

Question 33

33.

Which of the following are discontinuous variables?

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

(i)

{a,b}
(ii)

{b,d}
(iii)

{c,d,b}
(iv)

{c,d}
(v)

{e,a,b}

Question 34

34.

Which of the following class intervals are in exclusive form?

a)	53 - 60 , 61 - 68 , 69 - 76,...
b)	29 - 36 , 36 - 43 , 43 - 50,...
c)	28.5 - 36.5 , 36.5 - 44.5 , 44.5 - 52.5...
d)	50 - 57 , 57 - 64 , 64 - 71...
e)	29 - 36 , 37 - 44 , 45 - 52,...

(i)

{e,c}
(ii)

{a,b}
(iii)

{b,c,d}
(iv)

{a,e,d}
(v)

{a,b,c}

Question 35

35.

If the sum of the following frequency distribution is
32
,

find the value of 'x'.

Value

Frequency

1

2

2

1

3

4

4

3

6

3

8

2

9

3

10

2

11

5

12

4

13

2

14

x

(i)

2
(ii)

-2
(iii)

0
(iv)

1
(v)

3

Question 36

36.

If the sum of the following frequency distribution is
37
,

find the value of 'x'.

Class-Interval

Frequency

20 - 25

6

26 - 31

2

32 - 37

5

38 - 43

6

44 - 49

x

50 - 55

8

(i)

11
(ii)

13
(iii)

9
(iv)

8
(v)

10

Question 37

37.

Which of the following are continuous variables?

a)	Population of cities
b)	Number of workers in a factory
c)	Weights of persons in a group
d)	Marks obtained by student in a particular subject
e)	Wages of workers in a factory

(i)

{b,e,c}
(ii)

{d,a,c}
(iii)

{b,e}
(iv)

{a,c}
(v)

{c,e}

Question 38

38.

Which of the following are discrete variables?

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

(i)

{a,d}
(ii)

{c,a,d}
(iii)

{d,e}
(iv)

{b,e}
(v)

{b,e,d}

Question 39

39.

Convert the exclusive form of the class interval 27.5 - 35.5 to inclusive form

(i)

27.5

-

35.5
(ii)

28

-

35
(iii)

28.5

-

34.5
(iv)

28

-

35.5
(v)

27.5

-

35

Question 40

40.

Convert the inclusive form of the class interval 38 - 42 to exclusive form

(i)

38

-

42
(ii)

37.5

-

43
(iii)

37

-

42.5
(iv)

37

-

43
(v)

37.5

-

42.5

Question 41

41.

Convert the discontinuous form of the class interval 47 - 51 to continuous form

(i)

46

-

52
(ii)

46.5

-

51.5
(iii)

46

-

51.5
(iv)

46.5

-

52
(v)

47

-

51

Question 42

42.

Convert the continuous form of the class interval 17.5 - 21.5 to discontinuous form

(i)

18

-

21.5
(ii)

17.5

-

21.5
(iii)

18

-

21
(iv)

17.5

-

21
(v)

18.5

-

20.5

Question 43

43.

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

Class-Interval

20 - 28

29 - 37

38 - 46

47 - 55

56 - 64

Frequency

46

30

38

50

28

(i)

Class-Interval

19.5 - 28.5

28.5 - 37.5

37.5 - 46.5

46.5 - 55.5

55.5 - 64.5

Frequency

46

30

38

50

28
(ii)

Class-Interval

20 - 28

28 - 36

36 - 44

44 - 52

52 - 60

Frequency

17

44

13

46

39
(iii)

Class-Interval

20.5 - 28.5

29.5 - 37.5

38.5 - 46.5

47.5 - 55.5

56.5 - 64.5

Frequency

46

30

38

50

28
(iv)

Class-Interval

19.5 - 28

28.5 - 37

37.5 - 46

46.5 - 55

55.5 - 64

Frequency

46

30

38

50

28
(v)

Class-Interval

19.5 - 27.5

28.5 - 36.5

37.5 - 45.5

46.5 - 54.5

55.5 - 63.5

Frequency

46

30

38

50

28

Assignment Key