EduSahara™ Worksheet

Question 1

1.

Heights of 145 students (in cm) are given below. Calculate the mean height from the given histogram.

(i)

109.37 cm
(ii)

135.37 cm
(iii)

152.37 cm
(iv)

132.37 cm
(v)

147.37 cm

Question 2

2.

Temperatures of 15 days (in °C) are given below. Find the mean temperature.

35

26

27

26

26

25

32

28

28

27

25

27

30

26

30

(i)

418
15

°C
(ii)

28

°C
(iii)

433
15

°C
(iv)

419
15

°C
(v)

448
15

°C

Question 3

3.

The daily wages of
72
workers in a factory are given below.
Find the
mean wage.

Wage (in rupees)

30 - 36

37 - 43

44 - 50

51 - 57

58 - 64

65 - 71

No. of workers

19

16

14

7

8

8

(i)

₹

46.33
(ii)

₹

46.35
(iii)

₹

47.32
(iv)

₹

46.32
(v)

₹

48.32

Question 4

4.

If the sum of the following frequency distribution is
32
,

find the value of 'x'.

Class-Interval

Frequency

20 - 27

7

28 - 35

1

36 - 43

1

44 - 51

4

52 - 59

x

60 - 67

2

68 - 75

6

76 - 83

5

(i)

6
(ii)

9
(iii)

4
(iv)

7
(v)

5

Question 5

5.

The production yield in kg per hectare of wheat of 42 farms of a village is given below. Calculate the mean yield correct to 2 decimal places.

Production yield (in kg/ha)

less than 63

less than 71

less than 79

less than 87

less than 95

less than 103

Number of farms

5

12

17

24

34

42

(i)

86.48
(ii)

84.48
(iii)

78.48
(iv)

76.48
(v)

81.48

Question 6

6.

The histogram given below represents the marks obtained by some candidates in an examination. Using the data in the diagram, calculate the mean marks

(i)

44
(ii)

42
(iii)

43
(iv)

45
(v)

41

Question 7

7.

Rainfall of 10 days are given below. Find the mean.

Rainfall (in mm)

6

9

10

12

13

15

No. of days

1

2

1

3

1

2

(i)

133
10

mm
(ii)

113
10

mm
(iii)

23
2

mm
(iv)

57
5

mm
(v)

123
10

mm

Question 8

8.

(i)

107
13
(ii)

93
11
(iii)

91
11
(iv)

25
3
(v)

89
11

Question 9

9.

Ages of 120 students (in years) are given below. Calculate the mean age from the given histogram.

(i)

31.20 years
(ii)

34.20 years
(iii)

36.20 years
(iv)

28.20 years
(v)

26.20 years

Question 10

10.

Weights of 201 students (in kg) are given below. Calculate the mean weight from the given histogram.

(i)

72.17 kg
(ii)

80.17 kg
(iii)

78.17 kg
(iv)

75.17 kg
(v)

70.17 kg

Question 11

11.

If the mean of the following frequency distribution is
7

35
39
,

find the value of 'x'.

Value

Frequency

4

4

5

7

6

4

7

4

8

3

9

3

10

3

11

x

12

3

(i)

7
(ii)

8
(iii)

6
(iv)

11
(v)

9

Question 12

12.

(i)

2
(ii)

5
(iii)

7
(iv)

4
(v)

6

Question 13

13.

The mean of the below random sample is
33

1
2
.
Find the missing quantity.
42

24

28

28

33

x

40

14

43

43

(i)

38
(ii)

40
(iii)

41
(iv)

43
(v)

39

Question 14

14.

Given the mean of
12
samples as
4

1
6
,

what is the new mean if two samples
7
and
1
are removed ?

(i)

23
5
(ii)

29
7
(iii)

21
5
(iv)

19
5
(v)

13
3

Question 15

15.

Scores of 212 students are given below. Calculate the mean score from the given histogram.

(i)

116.92
(ii)

134.92
(iii)

140.92
(iv)

113.92
(v)

93.92

Question 16

16.

Heights of 15 students (in cm) are given below. Find the mean height.

132

156

173

168

125

134

141

144

130

137

147

175

166

147

142

(i)

739
5

cm
(ii)

744
5

cm
(iii)

148

cm
(iv)

749
5

cm
(v)

741
5

cm

Question 17

17.

If the mean of
5
samples is
12

2
5
,

what is the new mean if
8
is subtracted from each number.

(i)

4
(ii)

30
7
(iii)

14
3
(iv)

24
5
(v)

22
5

Question 18

18.

Daily wages of 10 labourers (in ₹) are given below. Find the mean wage.

495

424

453

445

492

357

384

384

495

314

(i)

₹

424.30
(ii)

₹

424.40
(iii)

₹

426.30
(iv)

₹

424.50
(v)

₹

425.30

Question 19

19.

Heights of 287 plants (in cm) are given below. Calculate the mean height from the given histogram.

(i)

86.54 cm
(ii)

78.54 cm
(iii)

80.54 cm
(iv)

88.54 cm
(v)

83.54 cm

Question 20

20.

Heights of 12 plants (in cm) are given below. Find the mean height.

83

79

66

58

57

56

88

66

62

83

69

75

(i)

211
3

cm
(ii)

421
6

cm
(iii)

427
6

cm
(iv)

433
6

cm
(v)

141
2

cm

Question 21

21.

The heights of 40 pupils in a school are given below. Calculate the mean height correct to 2 decimal places.

Height (in cm)

less than 130

less than 140

less than 150

less than 160

less than 170

less than 180

No. of pupils

10

15

20

26

36

40

(i)

175.25 cm
(ii)

130.25 cm
(iii)

148.25 cm
(iv)

132.25 cm
(v)

161.25 cm

Question 22

22.

Temperatures of 15 days are given below. Find the mean.

Temperature (in degree C)

25

26

27

28

29

35

No. of days

1

1

1

4

3

5

(i)

151
5

°C
(ii)

452
15

°C
(iii)

454
15

°C
(iv)

482
15

°C
(v)

467
15

°C

Question 23

23.

Daily wages of 147 labourers (in ₹) are given below. Calculate the mean wage from the given histogram.

(i)

₹347.90
(ii)

₹329.90
(iii)

₹321.90
(iv)

₹308.90

Question 24

24.

The histogram given below is a study of heart patients of different age groups. Using the data in the diagram, calculate the mean age

(i)

68.93 years
(ii)

67.93 years
(iii)

66.93 years
(iv)

65.93 years
(v)

69.93 years

Question 25

25.

If the mean of
5
samples is
17

3
5
,

what is the new mean if each number is multiplied by
9
.

(i)

158
(ii)

1108
7
(iii)

792
5
(iv)

476
3
(v)

794
5

Assignment Key