EduSahara™ Worksheet

Question 1

1.

The marks obtained by 16 students in a test are given below. Find their mode marks.

27

38

50

6

42

31

25

28

22

26

14

35

14

50

22

14

(i)

16
(ii)

14
(iii)

13
(iv)

15
(v)

11

Question 2

2.

Heights of 72 students (in cm) are shown in the given ogive.

(i)

53
(ii)

56
(iii)

59
(iv)

58
(v)

54

Question 3

3.

Ages of 77 students (in years) are shown in the given ogive.

(i)

64
(ii)

65
(iii)

67
(iv)

70
(v)

69

Question 4

4.

Heights of 11 plants are given below. Find the mode.

Height (in cm)

53

59

74

84

99

No. of plants

4

3

1

1

2

(i)

55

cm
(ii)

53

cm
(iii)

54

cm
(iv)

52

cm
(v)

51

cm

Question 5

5.

Find the median of all the factors of 10.

(i)

4
(ii)

13
4
(iii)

9
2
(iv)

5
2
(v)

7
2

Question 6

6.

The marks obtained by
82
students in an examination are shown in the given ogive.

Find the number of students who obtained less than
50
marks in the examination.

(i)

62
(ii)

74
(iii)

67
(iv)

60
(v)

72

Question 7

7.

The following ogive shows the daily wages of workers in a factory. Estimate the median.

(i)

₹206.00
(ii)

₹211.00
(iii)

₹213.50
(iv)

₹208.50
(v)

₹216.00

Question 8

8.

The following ogive shows the distribution of the heights of a group of factory workers. Estimate the upper quartile.

(i)

166.52 cm
(ii)

167.77 cm
(iii)

170.27 cm
(iv)

169.02 cm
(v)

165.27 cm

Question 9

9.

The marks obtained by
66
students in an examination are shown in the given ogive.

Find the number of students who obtained more than
45
marks in the examination.

(i)

10
(ii)

5
(iii)

17
(iv)

15
(v)

3

Question 10

10.

Rainfall of 11 days (in mm) are given below. Find the median rainfall.

12

5

10

5

12

10

9

6

6

11

13

(i)

8

mm
(ii)

12

mm
(iii)

11

mm
(iv)

10

mm
(v)

9

mm

Question 11

11.

Which of the following class intervals are in exclusive form?

a)	11 - 21 , 21 - 31 , 31 - 41,...
b)	41 - 51 , 51 - 61 , 61 - 71...
c)	44 - 54 , 55 - 65 , 66 - 76,...
d)	10.5 - 21.5 , 21.5 - 32.5 , 32.5 - 43.5...
e)	11 - 21 , 22 - 32 , 33 - 43,...

(i)

{e,b}
(ii)

{c,e,d}
(iii)

{c,a}
(iv)

{c,a,b}
(v)

{a,b,d}

Question 12

12.

The following ogive shows the number of casualties of different age groups due to accidents in a city. Estimate the median.

(i)

58.17 years
(ii)

63.17 years
(iii)

65.67 years
(iv)

55.67 years
(v)

60.67 years

Question 13

13.

A frequency distribution table is given below.
Find the
median .

Class-Interval

19 - 27

27 - 35

35 - 43

43 - 51

51 - 59

59 - 67

67 - 75

Frequency

26

49

48

5

11

5

30

(i)

36
(ii)

35
(iii)

37
(iv)

38
(v)

39

Question 14

14.

Emperical relation between Mean, Median and Mode is

(i)

Mode = 3Median - 2Mean
(ii)

Mode = 3Median + 2Mean
(iii)

Mode = 3Median - 3Mean
(iv)

Mode = 2Median - 3Mean

Question 15

15.

The following ogive shows the daily wages of workers in a factory. Estimate the lower quartile.

(i)

₹181.92
(ii)

₹179.42
(iii)

₹178.17
(iv)

₹180.67
(v)

₹176.92

Question 16

16.

Ages of 20 students are given below. Find the median.

Age (in years)

10

11

12

13

14

15

No. of students

2

5

4

2

3

4

(i)

11

years
(ii)

10

years
(iii)

14

years
(iv)

12

years
(v)

13

years

Question 17

17.

The marks obtained by
69
students in an examination are shown in the given ogive.

Find the number of students who obtained
more
than
10
marks in examination.

(i)

71
(ii)

67
(iii)

69
(iv)

68
(v)

70

Question 18

18.

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

Class-Interval

10 - 20

21 - 31

32 - 42

43 - 53

54 - 64

65 - 75

Frequency

10

24

10

50

23

31

(i)

Class-Interval

9.5 - 19.5

20.5 - 30.5

31.5 - 41.5

42.5 - 52.5

53.5 - 63.5

64.5 - 74.5

Frequency

10

24

10

50

23

31
(ii)

Class-Interval

9.5 - 20

20.5 - 31

31.5 - 42

42.5 - 53

53.5 - 64

64.5 - 75

Frequency

10

24

10

50

23

31
(iii)

Class-Interval

10 - 20

20 - 30

30 - 40

40 - 50

50 - 60

60 - 70

Frequency

31

20

38

35

10

11
(iv)

Class-Interval

10.5 - 20.5

21.5 - 31.5

32.5 - 42.5

43.5 - 53.5

54.5 - 64.5

65.5 - 75.5

Frequency

10

24

10

50

23

31
(v)

Class-Interval

9.5 - 20.5

20.5 - 31.5

31.5 - 42.5

42.5 - 53.5

53.5 - 64.5

64.5 - 75.5

Frequency

10

24

10

50

23

31

Question 19

19.

A frequency distribution table is given below.
Find the
mode .

Class-Interval

4 - 13

13 - 22

22 - 31

31 - 40

40 - 49

Frequency

42

16

40

30

25

(i)

325
34
(ii)

327
34
(iii)

393
34
(iv)

359
34
(v)

163
17

Question 20

20.

Ages of 11 students are given below. Find the mode.

Age (in years)

10

11

13

15

No. of students

2

1

3

5

(i)

14

years
(ii)

13

years
(iii)

16

years
(iv)

15

years
(v)

17

years

Question 21

21.

Find the median of all the factors of 20.

(i)

11
2
(ii)

5
(iii)

17
4
(iv)

7
2
(v)

9
2

Question 22

22.

The following frequency distribution table gives
the monthly consumption of electricity of
67
consumers in a locality.
Find the
mode units.

Monthly consumption (in units)

71 - 91

91 - 111

111 - 131

131 - 151

151 - 171

No. of consumers

13

5

21

10

18

(i)

1106
9

units
(ii)

3371
27

units
(iii)

3319
27

units
(iv)

3344
27

units
(v)

3317
27

units

Question 23

23.

Rainfall of 31 days are given below. Find the mode.

Rainfall (in mm)

7

8

9

11

12

13

14

15

No. of days

1

4

4

3

3

9

3

4

(i)

11

mm
(ii)

12

mm
(iii)

15

mm
(iv)

13

mm
(v)

14

mm

Question 24

24.

The observations of an ungrouped data are
x

1
,
x

2
,
2x

1
and
x

1
<
x

2
<
2x

1
.

If the mean and median of the data are equal to
21
,

find the observations of the data

(i)
18

,

21

,

32
(ii)
28

,

21

,

56
(iii)
15

,

21

,

30
(iv)
14

,

21

,

28

Question 25

25.

Ages of 61 students (in years) are shown in the given ogive.

(i)

50
(ii)

55
(iii)

49
(iv)

52
(v)

54

Assignment Key