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 12 students in a test are given below. Find the mean score.
20
17
13
10
6
9
20
15
11
5
9
13
(i)
12
1
3
(ii)
15
(iii)
5
(iv)
9
(v)
20
Question
2
2.
If the mean of
3
10
2
9
x
6
4
5
is
5
7
8
,
find the value of x.
(i)
10
(ii)
6
(iii)
8
(iv)
9
(v)
7
Question
3
3.
Given the mean of
12
samples as
12
1
6
,
what is the mean if a sample value is
increased
by
14
?
(i)
14
(ii)
66
5
(iii)
38
3
(iv)
40
3
Question
4
4.
Given the mean of
12
samples as
10
,
what is the mean if a sample value is
decreased
by
19
?
(i)
101
12
(ii)
17
2
(iii)
103
12
(iv)
33
4
(v)
117
14
Question
5
5.
Given the mean of
10
samples as
6
2
5
,
what is the new mean if two samples
7
and
4
are added ?
(i)
13
2
(ii)
25
4
(iii)
37
6
(iv)
23
4
(v)
27
4
Question
6
6.
Given the mean of
12
samples as
5
7
12
,
what is the new mean if two samples
9
and
6
are removed ?
(i)
24
5
(ii)
28
5
(iii)
36
7
(iv)
16
3
(v)
26
5
Question
7
7.
Find the mean of all prime numbers between 50 and 70.
(i)
60
(ii)
59
(iii)
61
(iv)
62
(v)
57
Question
8
8.
Find the mean of all prime numbers between 30 and 100.
(i)
311
5
(ii)
931
15
(iii)
807
13
(iv)
1055
17
(v)
929
15
Question
9
9.
Find the mean of first 9 multiples of 15.
(i)
75
(ii)
73
(iii)
77
(iv)
74
(v)
76
Question
10
10.
Find the mean of first 6 whole numbers.
(i)
9
4
(ii)
7
2
(iii)
5
2
(iv)
3
(v)
3
2
Question
11
11.
Find the mean of first 8 multiples of 9.
(i)
81
2
(ii)
41
(iii)
161
4
(iv)
83
2
(v)
79
2
Question
12
12.
Find the mean of the first 20 odd numbers.
(i)
19
(ii)
18
(iii)
20
(iv)
21
(v)
23
Question
13
13.
Find the mean of the first 15 even numbers.
(i)
16
(ii)
19
(iii)
13
(iv)
15
(v)
17
Question
14
14.
The marks obtained by 14 students in a test are given below. Find their mean marks.
15
18
36
36
26
31
6
20
37
37
32
16
31
46
(i)
55
2
(ii)
111
4
(iii)
387
14
(iv)
441
16
(v)
389
14
Question
15
15.
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 increased by 9.
49
29
48
16
27
5
22
49
47
32
30
(i)
453
11
(ii)
455
11
(iii)
535
13
(iv)
41
(v)
371
9
Question
16
16.
The marks obtained by 14 students in a test are given below. Find the mean of their marks when the marks of each student is decreased by 4.
31
35
22
28
3
34
15
10
36
3
13
22
10
20
(i)
81
5
(ii)
145
9
(iii)
113
7
(iv)
111
7
(v)
115
7
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.
21
32
3
16
47
11
39
17
26
17
21
(i)
500
11
(ii)
590
13
(iii)
410
9
(iv)
498
11
(v)
502
11
Question
18
18.
Heights of 10 students (in cm) are given below. Find the mean height.
160
137
156
133
141
153
150
146
171
150
(i)
1497
10
cm
(ii)
1499
10
cm
(iii)
749
5
cm
(iv)
1507
10
cm
(v)
1517
10
cm
Question
19
19.
Heights of 13 plants (in cm) are given below. Find the mean height.
65
100
64
89
57
57
54
79
73
86
60
98
77
(i)
960
13
cm
(ii)
959
13
cm
(iii)
972
13
cm
(iv)
985
13
cm
(v)
961
13
cm
Question
20
20.
Ages of 14 students (in years) are given below. Find the mean age.
13
12
11
15
15
12
13
15
14
14
12
10
13
13
(i)
11
years
(ii)
12
years
(iii)
13
years
(iv)
14
years
(v)
15
years
Question
21
21.
Rainfall of 14 days (in mm) are given below. Find the mean rainfall.
13
6
7
14
8
12
13
7
15
10
12
15
6
11
(i)
177
14
mm
(ii)
163
14
mm
(iii)
151
14
mm
(iv)
75
7
mm
(v)
149
14
mm
Question
22
22.
Scores of 15 students are given below. Find the mean score.
80
72
77
84
83
87
85
71
79
77
86
70
76
82
74
(i)
1183
15
(ii)
1184
15
(iii)
1213
15
(iv)
1198
15
(v)
79
Question
23
23.
Temperatures of 15 days (in °C) are given below. Find the mean temperature.
35
35
26
26
30
30
35
32
26
28
27
31
31
34
31
(i)
457
15
°C
(ii)
472
15
°C
(iii)
458
15
°C
(iv)
153
5
°C
(v)
487
15
°C
Question
24
24.
Weights of 15 students (in kg) are given below. Find the mean weight.
56
51
54
59
44
46
55
54
57
53
41
41
57
43
44
(i)
157
3
kg
(ii)
152
3
kg
(iii)
151
3
kg
(iv)
51
kg
(v)
154
3
kg
Question
25
25.
Daily wages of 14 labourers (in ₹) are given below. Find the mean wage.
392
419
310
336
336
437
308
474
447
361
357
486
419
351
(i)
₹
388.14
(ii)
₹
390.07
(iii)
₹
388.07
(iv)
₹
389.07
(v)
₹
388.21
Question
26
26.
The arithmetic mean of a + 2, a, and a - 2 is
(i)
a
(ii)
a - 2
(iii)
a + 2
(iv)
3a
Question
27
27.
The arithmetic mean of
2
10
49
9
9
36
27
9
is
(i)
17.88
(ii)
16.88
(iii)
19.88
(iv)
20.88
(v)
18.88
Question
28
28.
If the mean of
5
samples is
31
1
5
,
what is the new mean if
9
is added to each number.
(i)
201
5
(ii)
121
3
(iii)
281
7
(iv)
203
5
(v)
199
5
Question
29
29.
If the mean of
5
samples is
21
2
5
,
what is the new mean if
4
is subtracted from each number.
(i)
89
5
(ii)
121
7
(iii)
87
5
(iv)
53
3
(v)
17
Question
30
30.
If the mean of
5
samples is
23
1
5
,
what is the new mean if each number is multiplied by
7
.
(i)
814
5
(ii)
812
5
(iii)
162
(iv)
488
3
(v)
1136
7
Question
31
31.
The mean of
10
numbers is
9
1
5
.
Upon
excluding
one number,
the mean becomes
9
1
9
.
Find the
excluded
number.
(i)
8
(ii)
9
(iii)
12
(iv)
11
(v)
10
Question
32
32.
The mean of
5
numbers is
14
2
5
.
Upon
adding
one number,
the mean becomes
15
.
Find the
included
number.
(i)
19
(ii)
18
(iii)
15
(iv)
17
(v)
20
Question
33
33.
The mean of the below random sample is
32
9
10
.
Find the missing quantity.
32
x
46
22
47
44
24
28
25
15
(i)
46
(ii)
45
(iii)
43
(iv)
48
(v)
47
Assignment Key
1) (i)
2) (iii)
3) (iv)
4) (i)
5) (ii)
6) (v)
7) (i)
8) (ii)
9) (i)
10) (iii)
11) (i)
12) (iii)
13) (i)
14) (iii)
15) (i)
16) (iii)
17) (i)
18) (i)
19) (ii)
20) (iii)
21) (v)
22) (i)
23) (i)
24) (iii)
25) (iii)
26) (i)
27) (v)
28) (i)
29) (iii)
30) (ii)
31) (v)
32) (ii)
33) (i)