EduSahara™ Worksheet

Question 1

1.

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
24
,

find the observations of the data

(i)
16

,

24

,

32
(ii)
20

,

24

,

36
(iii)
17

,

24

,

34
(iv)
32

,

24

,

64

Question 2

2.

(i)

31
3
(ii)

49
5
(iii)

71
7
(iv)

51
5
(v)

53
5

Question 3

3.

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

Weight (in kg)

40

45

48

50

51

59

No. of students

1

2

1

2

2

2

(i)

251
5

kg
(ii)

254
5

kg
(iii)

50

kg
(iv)

249
5

kg
(v)

259
5

kg

Question 4

4.

Find the mean of all prime numbers between 50 and 100.

(i)

512
7
(ii)

368
5
(iii)

366
5
(iv)

220
3
(v)

364
5

Question 5

5.

Given the mean of
10
samples as
6
,

what is the new mean if two samples
6
and
9
are added ?

(i)

25
4
(ii)

13
2
(iii)

27
4
(iv)

37
6
(v)

23
4

Question 6

6.

Heights of 12 students (in cm) are given below. Find the median height.

145

173

171

142

143

175

127

160

159

168

174

148

(i)

323
2

cm
(ii)

321
2

cm
(iii)

319
2

cm
(iv)

160

cm

Question 7

7.

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

157

165

129

170

141

157

139

139

135

140

172

128

(i)

443
3

cm
(ii)

446
3

cm
(iii)

445
3

cm
(iv)

449
3

cm
(v)

148

cm

Question 8

8.

Ages of 11 students (in years) are given below. Find the median age.

13

12

11

14

14

11

14

11

11

11

12

(i)

10

years
(ii)

14

years
(iii)

13

years
(iv)

12

years
(v)

11

years

Question 9

9.

Scores of 30 students are given below. Find the mean.

Score

75

76

79

81

83

85

86

87

88

89

90

No. of students

3

1

3

3

1

5

1

3

3

2

5

(i)

253
3
(ii)

1279
15
(iii)

422
5
(iv)

1264
15
(v)

1294
15

Question 10

10.

Find the median of all prime numbers between 50 and 60.

(i)

55
(ii)

59
(iii)

57
(iv)

53
(v)

56

Question 11

11.

(i)

2
(ii)

4
(iii)

0
(iv)

-1
(v)

1

Question 12

12.

If the mean of the following frequency distribution is
6

3
20
,

find the value of 'x'.

Value

Frequency

2

4

3

2

4

5

5

5

6

4

7

7

8

7

9

x

10

4

(i)

4
(ii)

3
(iii)

0
(iv)

1
(v)

2

Question 13

13.

Weights of 13 students (in kg) are given below. Find the median weight.

52

60

51

52

43

60

54

47

44

43

42

46

51

(i)

52

kg
(ii)

50

kg
(iii)

49

kg
(iv)

51

kg
(v)

53

kg

Question 14

14.

Ages of 25 students are given below. Find the median.

Age (in years)

10

11

12

13

14

15

No. of students

2

4

6

4

3

6

(i)

13

years
(ii)

11

years
(iii)

14

years
(iv)

15

years
(v)

12

years

Question 15

15.

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

Rainfall (in mm)

6

7

8

9

10

11

12

No. of days

2

1

2

1

2

1

1

(i)

89
10

mm
(ii)

87
10

mm
(iii)

97
10

mm
(iv)

107
10

mm
(v)

44
5

mm

Question 16

16.

Given the mean of
12
samples as
6
,

what is the new mean if two samples
4
and
9
are removed ?

(i)

61
10
(ii)

59
10
(iii)

49
8
(iv)

57
10
(v)

23
4

Question 17

17.

The observations of an ungrouped data are
x

1
,
x

2
,
x

3
and
x

1
<
x

2
<
x

3
.

(i)
4

,

8

,

24
(ii)
6

,

8

,

26
(iii)
8

,

8

,

48
(iv)
8

,

8

,

28

Question 18

18.

Find the median of first 9 whole numbers.

(i)

1
(ii)

3
(iii)

6
(iv)

4
(v)

5

Question 19

19.

Heights of 30 plants are given below. Find the median.

Height (in cm)

51

54

58

61

66

75

82

84

88

No. of plants

6

1

3

3

2

6

4

3

2

(i)

145
2

cm
(ii)

71

cm
(iii)

143
2

cm
(iv)

141
2

cm

Question 20

20.

Find the median of the first 10 odd numbers.

(i)

11
(ii)

8
(iii)

9
(iv)

13
(v)

10

Question 21

21.

Find the mean of first 7 multiples of 18.

(i)

71
(ii)

72
(iii)

74
(iv)

73
(v)

70

Question 22

22.

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

Height (in cm)

136

140

143

149

150

151

168

171

No. of students

3

4

1

5

1

1

2

3

(i)

148

cm
(ii)

149

cm
(iii)

151

cm
(iv)

150

cm
(v)

147

cm

Question 23

23.

Temperatures of 12 days (in °C) are given below. Find the mean temperature.

31

30

26

28

26

33

27

30

25

28

31

33

(i)

30

°C
(ii)

28

°C
(iii)

31

°C
(iv)

29

°C
(v)

27

°C

Question 24

24.

The marks obtained by 15 students in a test are given below. Find their median marks.

5

40

49

31

1

20

4

29

33

3

13

42

3

39

42

(i)

26
(ii)

30
(iii)

32
(iv)

28
(v)

29

Question 25

25.

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

26

26

32

25

28

27

25

33

31

30

29

31

28

26

26

(i)

26

°C
(ii)

29

°C
(iii)

30

°C
(iv)

27

°C
(v)

28

°C

Assignment Key