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 9 students in a test are given below. Find the mean score.
8
5
9
17
13
16
2
14
8
(i)
17
(ii)
2
(iii)
9
(iv)
15
(v)
10
2
9
Question
2
2.
If the mean of
1
3
x
5
2
is
4
1
5
,
find the value of x.
(i)
12
(ii)
9
(iii)
11
(iv)
10
(v)
8
Question
3
3.
Given the mean of
10
samples as
9
2
5
,
what is the mean if a sample value is
increased
by
17
?
(i)
113
10
(ii)
89
8
(iii)
133
12
(iv)
111
10
(v)
109
10
Question
4
4.
Given the mean of
14
samples as
9
13
14
,
what is the mean if a sample value is
decreased
by
13
?
(i)
9
(ii)
7
(iii)
12
(iv)
8
(v)
10
Question
5
5.
Given the mean of
10
samples as
6
1
2
,
what is the new mean if two samples
9
and
10
are added ?
(i)
6
(ii)
10
(iii)
5
(iv)
8
(v)
7
Question
6
6.
Given the mean of
12
samples as
4
7
12
,
what is the new mean if two samples
8
and
5
are removed ?
(i)
23
5
(ii)
29
7
(iii)
19
5
(iv)
21
5
(v)
13
3
Question
7
7.
Find the mean of all prime numbers between 40 and 70.
(i)
56
(ii)
53
(iii)
54
(iv)
52
(v)
50
Question
8
8.
Find the mean of all prime numbers between 20 and 90.
(i)
553
10
(ii)
443
8
(iii)
111
2
(iv)
441
8
(v)
445
8
Question
9
9.
Find the mean of first 7 multiples of 12.
(i)
48
(ii)
50
(iii)
46
(iv)
47
(v)
49
Question
10
10.
Find the mean of first 7 whole numbers.
(i)
4
(ii)
0
(iii)
6
(iv)
3
(v)
2
Question
11
11.
Find the mean of first 9 multiples of 20.
(i)
99
(ii)
102
(iii)
100
(iv)
101
(v)
98
Question
12
12.
Find the mean of the first 15 odd numbers.
(i)
15
(ii)
16
(iii)
14
(iv)
13
(v)
18
Question
13
13.
Find the mean of the first 20 even numbers.
(i)
21
(ii)
22
(iii)
18
(iv)
20
(v)
23
Question
14
14.
The marks obtained by 13 students in a test are given below. Find their mean marks.
17
36
48
12
48
41
50
34
25
23
41
2
3
(i)
146
5
(ii)
378
13
(iii)
322
11
(iv)
382
13
(v)
380
13
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 4.
5
37
19
21
8
34
9
46
23
21
(i)
105
4
(ii)
263
10
(iii)
211
8
(iv)
261
10
(v)
53
2
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 6.
16
27
7
1
47
26
32
39
34
17
12
19
49
22
(i)
130
7
(ii)
134
7
(iii)
56
3
(iv)
132
7
(v)
96
5
Question
17
17.
The marks obtained by 15 students in a test are given below. Find the mean of their marks when the marks of each student is doubled.
35
34
2
3
35
33
47
37
21
44
31
6
29
40
6
(i)
912
17
(ii)
700
13
(iii)
268
5
(iv)
806
15
(v)
808
15
Question
18
18.
Heights of 11 students (in cm) are given below. Find the mean height.
142
140
153
165
162
154
137
144
125
168
156
(i)
1647
11
cm
(ii)
1646
11
cm
(iii)
1657
11
cm
(iv)
1668
11
cm
(v)
1648
11
cm
Question
19
19.
Heights of 12 plants (in cm) are given below. Find the mean height.
71
93
78
96
91
82
64
89
89
86
61
94
(i)
83
cm
(ii)
499
6
cm
(iii)
503
6
cm
(iv)
497
6
cm
(v)
509
6
cm
Question
20
20.
Ages of 15 students (in years) are given below. Find the mean age.
14
11
10
15
15
11
15
10
12
12
11
13
11
12
14
(i)
63
5
years
(ii)
67
5
years
(iii)
72
5
years
(iv)
62
5
years
(v)
64
5
years
Question
21
21.
Rainfall of 14 days (in mm) are given below. Find the mean rainfall.
6
5
12
15
13
14
9
12
6
5
11
12
8
5
(i)
23
2
mm
(ii)
19
2
mm
(iii)
10
mm
(iv)
21
2
mm
Question
22
22.
Scores of 12 students are given below. Find the mean score.
84
86
89
77
80
72
84
70
78
80
79
84
(i)
329
4
(ii)
325
4
(iii)
161
2
(iv)
321
4
(v)
323
4
Question
23
23.
Temperatures of 11 days (in °C) are given below. Find the mean temperature.
27
31
35
29
28
35
34
29
28
31
25
(i)
354
11
°C
(ii)
332
11
°C
(iii)
343
11
°C
(iv)
334
11
°C
(v)
333
11
°C
Question
24
24.
Weights of 12 students (in kg) are given below. Find the mean weight.
44
53
44
44
56
60
58
47
57
45
46
45
(i)
601
12
kg
(ii)
50
kg
(iii)
611
12
kg
(iv)
599
12
kg
(v)
623
12
kg
Question
25
25.
Daily wages of 15 labourers (in ₹) are given below. Find the mean wage.
426
489
343
487
412
450
485
447
472
368
445
395
436
336
341
(i)
₹
422.27
(ii)
₹
422.20
(iii)
₹
424.13
(iv)
₹
422.13
(v)
₹
423.13
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
17
9
46
31
43
40
39
is
(i)
32.14
(ii)
30.14
(iii)
31.14
(iv)
33.14
(v)
34.14
Question
28
28.
If the mean of
5
samples is
19
3
5
,
what is the new mean if
10
is added to each number.
(i)
206
7
(ii)
146
5
(iii)
148
5
(iv)
30
Question
29
29.
If the mean of
6
samples is
22
1
3
,
what is the new mean if
7
is subtracted from each number.
(i)
44
3
(ii)
76
5
(iii)
16
(iv)
46
3
Question
30
30.
If the mean of
5
samples is
21
1
5
,
what is the new mean if each number is multiplied by
8
.
(i)
846
5
(ii)
170
(iii)
848
5
(iv)
1186
7
Question
31
31.
The mean of
9
numbers is
10
.
Upon
excluding
one number,
the mean becomes
9
1
2
.
Find the
excluded
number.
(i)
11
(ii)
14
(iii)
15
(iv)
13
(v)
17
Question
32
32.
The mean of
5
numbers is
8
2
5
.
Upon
adding
one number,
the mean becomes
9
1
3
.
Find the
included
number.
(i)
12
(ii)
13
(iii)
17
(iv)
14
(v)
15
Question
33
33.
The mean of the below random sample is
26
4
5
.
Find the missing quantity.
32
24
31
15
x
32
31
25
36
16
(i)
28
(ii)
25
(iii)
27
(iv)
26
(v)
24
Assignment Key
1) (v)
2) (iv)
3) (iv)
4) (i)
5) (v)
6) (iv)
7) (ii)
8) (ii)
9) (i)
10) (iv)
11) (iii)
12) (i)
13) (i)
14) (v)
15) (ii)
16) (iv)
17) (iv)
18) (ii)
19) (iv)
20) (iv)
21) (ii)
22) (iv)
23) (ii)
24) (iv)
25) (iv)
26) (i)
27) (i)
28) (iii)
29) (iv)
30) (iii)
31) (ii)
32) (iv)
33) (iv)