EduSahara™ Assignment
Name : Arithmetic Mean Miscellaneous Problems
Chapter : Measures of Central Tendency
Grade : ICSE Grade X
License : Non Commercial Use
Question
1
1.
The scores obtained by 6 students in a test are given below. Find the mean score.
3
5
2
19
7
1
(i)
18
(ii)
4
(iii)
6
1
6
(iv)
1
(v)
19
Question
2
2.
If the mean of
5
6
7
x
1
8
10
is
5
5
7
,
find the value of x.
(i)
3
(ii)
6
(iii)
4
(iv)
1
(v)
2
Question
3
3.
Given the mean of
8
samples as
9
1
4
,
what is the mean if a sample value is
increased
by
11
?
(i)
21
2
(ii)
65
6
(iii)
83
8
(iv)
87
8
(v)
85
8
Question
4
4.
Given the mean of
6
samples as
9
1
3
,
what is the mean if a sample value is
decreased
by
19
?
(i)
25
4
(ii)
49
8
(iii)
37
6
(iv)
35
6
(v)
13
2
Question
5
5.
Given the mean of
10
samples as
4
7
10
,
what is the new mean if two samples
5
and
6
are added ?
(i)
21
4
(ii)
37
8
(iii)
31
6
(iv)
29
6
(v)
9
2
Question
6
6.
Given the mean of
12
samples as
5
7
12
,
what is the new mean if two samples
2
and
4
are removed ?
(i)
61
10
(ii)
63
10
(iii)
59
10
(iv)
49
8
(v)
73
12
Question
7
7.
Find the mean of all prime numbers between 40 and 60.
(i)
49
(ii)
243
5
(iii)
241
5
(iv)
339
7
Question
8
8.
Find the mean of all prime numbers between 10 and 70.
(i)
479
13
(ii)
183
5
(iii)
623
17
(iv)
551
15
(v)
553
15
Question
9
9.
Find the mean of first 6 multiples of 12.
(i)
39
(ii)
41
(iii)
45
(iv)
43
(v)
42
Question
10
10.
Find the mean of first 9 whole numbers.
(i)
4
(ii)
3
(iii)
6
(iv)
2
(v)
5
Question
11
11.
Find the mean of first 5 multiples of 13.
(i)
39
(ii)
40
(iii)
36
(iv)
42
(v)
38
Question
12
12.
Find the mean of the first 20 odd numbers.
(i)
20
(ii)
17
(iii)
21
(iv)
22
(v)
19
Question
13
13.
Find the mean of the first 20 even numbers.
(i)
21
(ii)
18
(iii)
23
(iv)
20
(v)
22
Question
14
14.
The marks obtained by 15 students in a test are given below. Find their mean marks.
13
43
26
28
10
34
13
47
18
1
15
18
50
15
41
(i)
126
5
(ii)
124
5
(iii)
76
3
(iv)
172
7
(v)
122
5
Question
15
15.
The marks obtained by 10 students in a test are given below. Find the mean of their marks when the marks of each student is increased by 3.
12
31
28
36
35
10
13
22
46
5
(i)
82
3
(ii)
134
5
(iii)
132
5
(iv)
186
7
(v)
136
5
Question
16
16.
The marks obtained by 10 students in a test are given below. Find the mean of their marks when the marks of each student is decreased by 6.
5
35
3
47
10
12
35
36
22
22
(i)
199
12
(ii)
135
8
(iii)
33
2
(iv)
167
10
(v)
169
10
Question
17
17.
The marks obtained by 11 students in a test are given below. Find the mean of their marks when the marks of each student is doubled.
26
9
19
7
29
44
33
16
45
36
25
(i)
576
11
(ii)
578
11
(iii)
682
13
(iv)
158
3
(v)
580
11
Question
18
18.
Heights of 14 students (in cm) are given below. Find the mean height.
127
146
151
134
140
165
161
143
149
135
164
129
128
138
(i)
1006
7
cm
(ii)
1007
7
cm
(iii)
1012
7
cm
(iv)
1005
7
cm
(v)
1019
7
cm
Question
19
19.
Heights of 14 plants (in cm) are given below. Find the mean height.
88
71
100
71
100
85
70
73
99
68
56
82
60
58
(i)
1081
14
cm
(ii)
1095
14
cm
(iii)
541
7
cm
(iv)
1109
14
cm
(v)
1083
14
cm
Question
20
20.
Ages of 15 students (in years) are given below. Find the mean age.
12
11
10
11
11
15
14
12
12
15
15
13
11
13
10
(i)
13
years
(ii)
40
3
years
(iii)
43
3
years
(iv)
37
3
years
(v)
38
3
years
Question
21
21.
Rainfall of 14 days (in mm) are given below. Find the mean rainfall.
8
8
14
12
10
14
14
14
11
15
9
15
10
7
(i)
25
2
mm
(ii)
27
2
mm
(iii)
23
2
mm
(iv)
12
mm
Question
22
22.
Scores of 14 students are given below. Find the mean score.
72
87
80
74
75
79
90
72
88
85
70
90
78
87
(i)
81
(ii)
161
2
(iii)
163
2
(iv)
165
2
Question
23
23.
Temperatures of 11 days (in °C) are given below. Find the mean temperature.
30
30
31
30
34
32
34
30
29
25
28
(i)
333
11
°C
(ii)
355
11
°C
(iii)
334
11
°C
(iv)
344
11
°C
(v)
335
11
°C
Question
24
24.
Weights of 13 students (in kg) are given below. Find the mean weight.
60
60
40
54
55
51
53
54
41
42
54
40
49
(i)
666
13
kg
(ii)
654
13
kg
(iii)
655
13
kg
(iv)
679
13
kg
(v)
653
13
kg
Question
25
25.
Daily wages of 14 labourers (in ₹) are given below. Find the mean wage.
426
426
304
401
371
321
499
455
440
437
404
438
474
389
(i)
₹
415.21
(ii)
₹
413.29
(iii)
₹
414.21
(iv)
₹
413.21
(v)
₹
413.36
Question
26
26.
The arithmetic mean of a + 2, a, and a - 2 is
(i)
a
(ii)
3a
(iii)
a + 2
(iv)
a - 2
Question
27
27.
The arithmetic mean of
38
22
8
21
43
14
50
26
is
(i)
27.75
(ii)
29.75
(iii)
26.75
(iv)
25.75
(v)
28.75
Question
28
28.
If the mean of
7
samples is
14
,
what is the new mean if
6
is added to each number.
(i)
18
(ii)
20
(iii)
21
(iv)
19
(v)
23
Question
29
29.
If the mean of
4
samples is
37
1
4
,
what is the new mean if
6
is subtracted from each number.
(i)
123
4
(ii)
127
4
(iii)
63
2
(iv)
187
6
(v)
125
4
Question
30
30.
If the mean of
7
samples is
18
1
7
,
what is the new mean if each number is multiplied by
6
.
(i)
546
5
(ii)
762
7
(iii)
326
3
(iv)
764
7
(v)
760
7
Question
31
31.
The mean of
8
numbers is
11
1
2
.
Upon
excluding
one number,
the mean becomes
12
3
7
.
Find the
excluded
number.
(i)
6
(ii)
5
(iii)
2
(iv)
7
(v)
4
Question
32
32.
The mean of
9
numbers is
11
7
9
.
Upon
adding
one number,
the mean becomes
11
4
5
.
Find the
included
number.
(i)
13
(ii)
14
(iii)
11
(iv)
9
(v)
12
Question
33
33.
The mean of the below random sample is
23
7
10
.
Find the missing quantity.
45
x
27
27
12
15
24
19
27
29
(i)
11
(ii)
9
(iii)
12
(iv)
13
(v)
15
Assignment Key
1) (iii)
2) (i)
3) (v)
4) (iii)
5) (iv)
6) (i)
7) (ii)
8) (iv)
9) (v)
10) (i)
11) (i)
12) (i)
13) (i)
14) (ii)
15) (ii)
16) (iv)
17) (ii)
18) (iv)
19) (i)
20) (iv)
21) (iii)
22) (ii)
23) (i)
24) (v)
25) (iv)
26) (i)
27) (i)
28) (ii)
29) (v)
30) (ii)
31) (ii)
32) (v)
33) (iii)