EduSahara™ Worksheet

Question 1

1.

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

Class-Interval

8 - 18

19 - 29

30 - 40

41 - 51

52 - 62

Frequency

16

38

9

31

27

(i)

411
11
(ii)

400
11
(iii)

402
11
(iv)

401
11
(v)

422
11

Question 2

2.

The histogram given below shows the number of illiterate persons of different age groups in a town. Using the data in the diagram, calculate the mean age

(i)

50.47 years
(ii)

49.47 years
(iii)

46.47 years
(iv)

47.47 years
(v)

48.47 years

Question 3

3.

The scores obtained by 11 students in a test are given below. Find the mean score.
3

9

2

15

10

17

2

6

1

7

19

(i)

8

3
11
(ii)

2
(iii)

1
(iv)

19
(v)

18

Question 4

4.

Temperatures of 150 days (in °C) are given below. Calculate the mean temperature from the given histogram.

(i)

48.94 °C
(ii)

43.94 °C
(iii)

38.94 °C
(iv)

46.94 °C
(v)

40.94 °C

Question 5

5.

The following table shows the weights of
97
persons in a group.
Find the
mean weight.

Weight (in kg)

20 - 30

30 - 40

40 - 50

50 - 60

60 - 70

70 - 80

No. of persons

17

19

20

14

16

11

(i)

4625
97

kg
(ii)

4722
97

kg
(iii)

4819
97

kg
(iv)

4627
97

kg
(v)

4626
97

kg

Question 6

6.

Ages of 12 students (in years) are given below. Find the mean age.

10

11

15

12

14

12

12

15

14

11

10

10

(i)

25
2

years
(ii)

73
6

years
(iii)

85
6

years
(iv)

37
3

years
(v)

79
6

years

Question 7

7.

The following table shows the weights of
52
persons in a group.
Find the
mean weight.

Weight (in kg)

50 - 58

59 - 67

68 - 76

77 - 85

86 - 94

No. of persons

11

13

8

15

5

(i)

1829
26

kg
(ii)

1879
26

kg
(iii)

1827
26

kg
(iv)

914
13

kg
(v)

1853
26

kg

Question 8

8.

If the mean of
7
samples is
34

6
7
,

what is the new mean if
7
is added to each number.

(i)

291
7
(ii)

125
3
(iii)

211
5
(iv)

295
7
(v)

293
7

Question 9

9.

Find the mean of first 10 multiples of 13.

(i)

285
4
(ii)

72
(iii)

143
2
(iv)

141
2
(v)

145
2

Question 10

10.

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

Age (in years)

10

11

12

13

14

15

No. of students

2

4

2

5

2

5

(i)

69
5

years
(ii)

64
5

years
(iii)

66
5

years
(iv)

74
5

years
(v)

13

years

Question 11

11.

The arithmetic mean of
8

47

34

15

4

41
is

(i)

25.83
(ii)

23.83
(iii)

24.83
(iv)

26.83
(v)

22.83

Question 12

12.

(i)

5
(ii)

9
(iii)

7
(iv)

10
(v)

8

Question 13

13.

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)

60
(ii)

59
(iii)

57
(iv)

58
(v)

61

Question 14

14.

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

Wage (in rupees)

302

326

335

343

348

369

398

420

448

471

No. of labourers

4

3

2

1

2

3

2

1

1

1

(i)

₹

357.85
(ii)

₹

358.85
(iii)

₹

356.90
(iv)

₹

356.85
(v)

₹

356.95

Question 15

15.

Find the mean of first 7 whole numbers.

(i)

4
(ii)

3
(iii)

5
(iv)

0
(v)

2

Question 16

16.

Given the mean of
10
samples as
4

3
5
,

what is the new mean if two samples
9
and
8
are added ?

(i)

19
4
(ii)

31
6
(iii)

11
2
(iv)

21
4
(v)

23
4

Question 17

17.

Find the mean of the first 10 even numbers.

(i)

10
(ii)

9
(iii)

12
(iv)

13
(v)

11

Question 18

18.

Heights of 10 plants are given below. Find the mean.

Height (in cm)

51

53

57

69

75

88

94

No. of plants

3

1

1

1

2

1

1

(i)

333
5

cm
(ii)

332
5

cm
(iii)

342
5

cm
(iv)

337
5

cm
(v)

334
5

cm

Question 19

19.

Weights of 12 students (in kg) are given below. Find the mean weight.

59

52

49

53

40

57

53

49

48

52

44

55

(i)

613
12

kg
(ii)

635
12

kg
(iii)

623
12

kg
(iv)

611
12

kg
(v)

51

kg

Question 20

20.

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

(i)

3a
(ii)

a - 2
(iii)

a
(iv)

a + 2

Question 21

21.

Ages of 193 students (in years) are given below. Calculate the mean age from the given histogram.

(i)

45.19 years
(ii)

39.19 years
(iii)

47.19 years
(iv)

42.19 years
(v)

37.19 years

Question 22

22.

The mean of the below random sample is
34

4
5
.
Find the missing quantity.
20

25

46

49

x

25

19

47

48

26

(i)

42
(ii)

46
(iii)

44
(iv)

43
(v)

40

Question 23

23.

If the mean of
7
samples is
27

5
7
,

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

(i)

1248
5
(ii)

748
3
(iii)

1744
7
(iv)

1748
7
(v)

1746
7

Question 24

24.

The heights of 46 pupils in a school are given below. Calculate the mean height correct to 2 decimal places.

Height (in cm)

less than 128

less than 134

less than 140

less than 146

less than 152

less than 158

less than 164

No. of pupils

7

12

24

31

35

43

46

(i)

167.17 cm
(ii)

141.17 cm
(iii)

119.17 cm
(iv)

126.17 cm
(v)

143.17 cm

Question 25

25.

Heights of 10 students (in cm) are given below. Find the mean height.

153

145

162

135

159

164

166

134

145

164

(i)

1547
10

cm
(ii)

1529
10

cm
(iii)

1537
10

cm
(iv)

1527
10

cm
(v)

764
5

cm

Assignment Key