EduSahara™ Worksheet

Question 1

1.

Daily wages of 14 labourers (in ₹) are given below. Find the mean wage.

428

387

433

359

478

388

321

473

431

396

310

485

406

399

(i)

₹

407.00
(ii)

₹

408.71
(iii)

₹

406.71
(iv)

₹

407.71
(v)

₹

406.86

Question 2

2.

Heights of 15 students are given below. Find the mean.

Height (in cm)

127

133

135

137

141

145

172

No. of students

4

2

3

1

3

1

1

(i)

2056
15

cm
(ii)

686
5

cm
(iii)

2071
15

cm
(iv)

2057
15

cm
(v)

2086
15

cm

Question 3

3.

Find the mean of first 8 whole numbers.

(i)

7
2
(ii)

4
(iii)

9
2
(iv)

13
4
(v)

5
2

Question 4

4.

The following table shows the weights of
88
persons in a group.
Find the
mean weight.

Weight (in kg)

40 - 47

47 - 54

54 - 61

61 - 68

68 - 75

75 - 82

82 - 89

No. of persons

11

20

13

13

15

9

7

(i)

1385
22

kg
(ii)

62

kg
(iii)

1365
22

kg
(iv)

1363
22

kg
(v)

1407
22

kg

Question 5

5.

Weights of 108 students (in kg) are given below. Calculate the mean weight from the given histogram.

(i)

81.22 kg
(ii)

89.22 kg
(iii)

86.22 kg
(iv)

83.22 kg
(v)

91.22 kg

Question 6

6.

Find the mean of the first 10 odd numbers.

(i)

9
(ii)

10
(iii)

11
(iv)

7
(v)

13

Question 7

7.

The arithmetic mean of a + 2, a, and a - 2 is

(i)

3a
(ii)

a - 2
(iii)

a + 2
(iv)

a

Question 8

8.

The daily wages of
126
workers in a factory are given below.
Find the
mean wage.

Wage (in rupees)

30 - 35

36 - 41

42 - 47

48 - 53

54 - 59

60 - 65

66 - 71

No. of workers

13

28

8

29

12

22

14

(i)

₹

51.26
(ii)

₹

50.29
(iii)

₹

50.26
(iv)

₹

50.31
(v)

₹

52.26

Question 9

9.

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

Age (in years)

10

11

12

13

14

15

No. of students

5

1

6

2

2

4

(i)

267
20

years
(ii)

247
20

years
(iii)

62
5

years
(iv)

249
20

years
(v)

287
20

years

Question 10

10.

If the mean of
6
samples is
20
,

what is the new mean if
10
is subtracted from each number.

(i)

12
(ii)

9
(iii)

7
(iv)

11
(v)

10

Question 11

11.

Find the mean of the first 10 even numbers.

(i)

12
(ii)

13
(iii)

8
(iv)

11
(v)

10

Question 12

12.

Find the mean of all prime numbers between 50 and 80.

(i)

595
9
(ii)

461
7
(iii)

463
7
(iv)

465
7
(v)

331
5

Question 13

13.

Weights of 10 students are given below. Find the mean.

Weight (in kg)

41

43

45

47

No. of students

3

1

3

3

(i)

223
5

kg
(ii)

226
5

kg
(iii)

222
5

kg
(iv)

231
5

kg
(v)

221
5

kg

Question 14

14.

If the sum of the following frequency distribution is
29
,

find the value of 'x'.

Class-Interval

Frequency

10 - 19

8

20 - 29

2

30 - 39

3

40 - 49

7

50 - 59

2

60 - 69

x

(i)

6
(ii)

4
(iii)

8
(iv)

10
(v)

7

Question 15

15.

Ages of 127 students (in years) are given below. Calculate the mean age from the given histogram.

(i)

34.96 years
(ii)

31.96 years
(iii)

29.96 years
(iv)

39.96 years
(v)

37.96 years

Question 16

16.

Find the mean of all prime numbers between 30 and 80.

(i)

221
4
(ii)

111
2
(iii)

329
6
(iv)

331
6
(v)

441
8

Question 17

17.

Scores of 20 students are given below. Find the mean.

Score

70

73

74

79

80

81

86

No. of students

4

4

2

3

2

3

2

(i)

383
5
(ii)

77
(iii)

393
5
(iv)

388
5
(v)

384
5

Question 18

18.

(i)

123
13
(ii)

47
5
(iii)

121
13
(iv)

105
11
(v)

125
13

Question 19

19.

Wages of 20 labourers are given below. Find the mean.

Wage (in rupees)

305

337

346

385

413

435

461

467

No. of labourers

1

5

1

1

4

3

1

4

(i)

₹

402.35
(ii)

₹

401.35
(iii)

₹

400.45
(iv)

₹

400.40
(v)

₹

400.35

Question 20

20.

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

Class-Interval

16 - 24

25 - 33

34 - 42

43 - 51

52 - 60

61 - 69

70 - 78

79 - 87

Frequency

34

4

48

5

16

8

21

15

(i)

7221
151
(ii)

7372
151
(iii)

7070
151
(iv)

7071
151
(v)

7072
151

Question 21

21.

The production yield in kg per hectare of wheat of 44 farms of a village is given below. Calculate the mean yield correct to 2 decimal places.

Production yield (in kg/ha)

less than 69

less than 78

less than 87

less than 96

less than 105

less than 114

Number of farms

7

14

22

31

36

44

(i)

82.00
(ii)

87.00
(iii)

90.00
(iv)

84.00
(v)

92.00

Question 22

22.

If the mean of
8
samples is
25

3
8
,

what is the new mean if each number is multiplied by
10
.

(i)

1013
4
(ii)

507
2
(iii)

509
2
(iv)

1015
4
(v)

1017
4

Question 23

23.

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)

69
(ii)

68
(iii)

65
(iv)

67
(v)

66

Question 24

24.

Temperatures of 14 days (in °C) are given below. Find the mean temperature.

34

32

32

34

30

30

33

32

28

28

30

27

28

26

(i)

219
7

°C
(ii)

212
7

°C
(iii)

214
7

°C
(iv)

213
7

°C
(v)

226
7

°C

Question 25

25.

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)

39.34 years
(ii)

40.34 years
(iii)

41.34 years
(iv)

43.34 years
(v)

42.34 years

Assignment Key