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 7 students in a test are given below. Find the mean score.
13
6
19
12
10
15
10
(i)
12
(ii)
19
(iii)
13
(iv)
6
(v)
12
1
7
Question
2
2.
If the mean of
1
4
5
x
7
6
is
5
1
2
,
find the value of x.
(i)
10
(ii)
8
(iii)
11
(iv)
9
(v)
12
Question
3
3.
Given the mean of
6
samples as
9
1
2
,
what is the mean if a sample value is
increased
by
20
?
(i)
25
2
(ii)
53
4
(iii)
77
6
(iv)
79
6
(v)
101
8
Question
4
4.
Given the mean of
11
samples as
10
1
11
,
what is the mean if a sample value is
decreased
by
11
?
(i)
100
11
(ii)
82
9
(iii)
98
11
(iv)
102
11
(v)
118
13
Question
5
5.
Given the mean of
10
samples as
3
7
10
,
what is the new mean if two samples
10
and
7
are added ?
(i)
5
(ii)
7
2
(iii)
9
2
(iv)
17
4
(v)
11
2
Question
6
6.
Given the mean of
12
samples as
6
1
2
,
what is the new mean if two samples
5
and
5
are removed ?
(i)
32
5
(ii)
22
3
(iii)
36
5
(iv)
34
5
(v)
46
7
Question
7
7.
Find the mean of all prime numbers between 10 and 60.
(i)
423
13
(ii)
487
15
(iii)
421
13
(iv)
359
11
(v)
425
13
Question
8
8.
Find the mean of all prime numbers between 40 and 100.
(i)
863
13
(ii)
865
13
(iii)
199
3
(iv)
731
11
(v)
861
13
Question
9
9.
Find the mean of first 7 multiples of 7.
(i)
27
(ii)
26
(iii)
28
(iv)
30
(v)
29
Question
10
10.
Find the mean of first 10 whole numbers.
(i)
5
(ii)
9
2
(iii)
17
4
(iv)
11
2
(v)
7
2
Question
11
11.
Find the mean of first 7 multiples of 13.
(i)
52
(ii)
51
(iii)
55
(iv)
53
(v)
50
Question
12
12.
Find the mean of the first 10 odd numbers.
(i)
9
(ii)
11
(iii)
12
(iv)
10
(v)
7
Question
13
13.
Find the mean of the first 10 even numbers.
(i)
9
(ii)
12
(iii)
10
(iv)
11
(v)
13
Question
14
14.
The marks obtained by 12 students in a test are given below. Find their mean marks.
48
6
29
31
8
31
44
16
25
18
36
8
(i)
27
(ii)
23
(iii)
25
(iv)
24
(v)
26
Question
15
15.
The marks obtained by 12 students in a test are given below. Find the mean of their marks when the marks of each student is increased by 9.
35
35
22
20
32
3
13
43
48
38
11
44
(i)
115
3
(ii)
39
(iii)
37
(iv)
187
5
(v)
113
3
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 8.
17
7
3
5
43
11
32
24
21
10
3
18
30
21
(i)
10
(ii)
17
2
(iii)
19
2
(iv)
21
2
(v)
37
4
Question
17
17.
The marks obtained by 12 students in a test are given below. Find the mean of their marks when the marks of each student is doubled.
36
35
17
37
13
48
19
32
17
44
34
6
(i)
169
3
(ii)
167
3
(iii)
57
(iv)
281
5
Question
18
18.
Heights of 11 students (in cm) are given below. Find the mean height.
169
152
151
172
142
163
142
130
138
133
155
(i)
1647
11
cm
(ii)
1649
11
cm
(iii)
1658
11
cm
(iv)
1669
11
cm
(v)
1648
11
cm
Question
19
19.
Heights of 12 plants (in cm) are given below. Find the mean height.
84
84
94
60
56
77
59
78
66
77
65
80
(i)
226
3
cm
(ii)
221
3
cm
(iii)
220
3
cm
(iv)
74
cm
(v)
223
3
cm
Question
20
20.
Ages of 13 students (in years) are given below. Find the mean age.
14
13
15
11
11
12
10
15
15
15
13
14
14
(i)
185
13
years
(ii)
173
13
years
(iii)
174
13
years
(iv)
198
13
years
(v)
172
13
years
Question
21
21.
Rainfall of 10 days (in mm) are given below. Find the mean rainfall.
10
7
15
13
10
9
5
15
10
8
(i)
53
5
mm
(ii)
51
5
mm
(iii)
52
5
mm
(iv)
56
5
mm
(v)
61
5
mm
Question
22
22.
Scores of 10 students are given below. Find the mean score.
72
88
90
82
78
71
79
89
85
77
(i)
811
10
(ii)
821
10
(iii)
813
10
(iv)
831
10
(v)
406
5
Question
23
23.
Temperatures of 10 days (in °C) are given below. Find the mean temperature.
30
30
25
32
34
28
29
29
26
26
(i)
299
10
°C
(ii)
309
10
°C
(iii)
289
10
°C
(iv)
291
10
°C
(v)
29
°C
Question
24
24.
Weights of 12 students (in kg) are given below. Find the mean weight.
48
57
44
46
45
53
46
46
46
57
45
43
(i)
50
kg
(ii)
49
kg
(iii)
48
kg
(iv)
46
kg
(v)
47
kg
Question
25
25.
Daily wages of 15 labourers (in ₹) are given below. Find the mean wage.
382
484
358
371
390
315
375
349
470
392
476
422
451
381
395
(i)
₹
402.73
(ii)
₹
400.87
(iii)
₹
401.73
(iv)
₹
400.80
(v)
₹
400.73
Question
26
26.
The arithmetic mean of a + 2, a, and a - 2 is
(i)
3a
(ii)
a + 2
(iii)
a
(iv)
a - 2
Question
27
27.
The arithmetic mean of
6
18
21
15
34
22
31
is
(i)
23
(ii)
22
(iii)
19
(iv)
21
(v)
20
Question
28
28.
If the mean of
8
samples is
27
3
4
,
what is the new mean if
9
is added to each number.
(i)
73
2
(ii)
149
4
(iii)
147
4
(iv)
75
2
(v)
145
4
Question
29
29.
If the mean of
8
samples is
21
7
8
,
what is the new mean if
7
is subtracted from each number.
(i)
147
10
(ii)
121
8
(iii)
117
8
(iv)
119
8
(v)
91
6
Question
30
30.
If the mean of
7
samples is
17
5
7
,
what is the new mean if each number is multiplied by
3
.
(i)
374
7
(ii)
478
9
(iii)
370
7
(iv)
372
7
(v)
266
5
Question
31
31.
The mean of
5
numbers is
10
2
5
.
Upon
excluding
one number,
the mean becomes
10
1
2
.
Find the
excluded
number.
(i)
9
(ii)
8
(iii)
11
(iv)
10
(v)
13
Question
32
32.
The mean of
6
numbers is
13
1
2
.
Upon
adding
one number,
the mean becomes
13
2
7
.
Find the
included
number.
(i)
13
(ii)
11
(iii)
9
(iv)
15
(v)
12
Question
33
33.
The mean of the below random sample is
28
1
10
.
Find the missing quantity.
43
42
34
30
14
x
26
26
25
13
(i)
28
(ii)
29
(iii)
27
(iv)
26
(v)
31
Assignment Key
1) (v)
2) (i)
3) (iii)
4) (i)
5) (iii)
6) (iv)
7) (i)
8) (i)
9) (iii)
10) (ii)
11) (i)
12) (iv)
13) (iv)
14) (iii)
15) (v)
16) (iii)
17) (i)
18) (i)
19) (iii)
20) (v)
21) (ii)
22) (i)
23) (iii)
24) (iii)
25) (v)
26) (iii)
27) (iv)
28) (iii)
29) (iv)
30) (iv)
31) (iv)
32) (v)
33) (i)