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 8 students in a test are given below. Find the mean score.
9
12
10
11
17
3
3
3
(i)
17
(ii)
8
1
2
(iii)
14
(iv)
9
1
2
(v)
3
Question
2
2.
If the mean of
9
5
3
x
8
7
is
7
,
find the value of x.
(i)
11
(ii)
9
(iii)
8
(iv)
13
(v)
10
Question
3
3.
Given the mean of
6
samples as
7
,
what is the mean if a sample value is
increased
by
10
?
(i)
8
(ii)
42
5
(iii)
26
3
(iv)
28
3
(v)
10
Question
4
4.
Given the mean of
10
samples as
9
3
10
,
what is the mean if a sample value is
decreased
by
14
?
(i)
65
8
(ii)
79
10
(iii)
81
10
(iv)
77
10
(v)
31
4
Question
5
5.
Given the mean of
10
samples as
4
3
5
,
what is the new mean if two samples
6
and
5
are added ?
(i)
21
4
(ii)
17
4
(iii)
19
4
(iv)
9
2
(v)
11
2
Question
6
6.
Given the mean of
12
samples as
6
1
6
,
what is the new mean if two samples
10
and
1
are removed ?
(i)
13
2
(ii)
25
4
(iii)
51
8
(iv)
61
10
(v)
63
10
Question
7
7.
Find the mean of all prime numbers between 20 and 60.
(i)
201
5
(ii)
41
(iii)
121
3
(iv)
119
3
Question
8
8.
Find the mean of all prime numbers between 30 and 100.
(i)
931
15
(ii)
311
5
(iii)
1055
17
(iv)
929
15
(v)
807
13
Question
9
9.
Find the mean of first 5 multiples of 12.
(i)
36
(ii)
35
(iii)
37
(iv)
38
(v)
34
Question
10
10.
Find the mean of first 7 whole numbers.
(i)
0
(ii)
6
(iii)
3
(iv)
4
(v)
2
Question
11
11.
Find the mean of first 5 multiples of 14.
(i)
44
(ii)
41
(iii)
42
(iv)
40
(v)
43
Question
12
12.
Find the mean of the first 15 odd numbers.
(i)
16
(ii)
15
(iii)
17
(iv)
13
(v)
14
Question
13
13.
Find the mean of the first 10 even numbers.
(i)
9
(ii)
11
(iii)
12
(iv)
13
(v)
10
Question
14
14.
The marks obtained by 11 students in a test are given below. Find their mean marks.
4
31
48
30
44
36
38
7
12
24
28
(i)
302
11
(ii)
356
13
(iii)
300
11
(iv)
248
9
(v)
304
11
Question
15
15.
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 increased by 5.
40
38
13
45
23
10
38
50
31
6
29
15
46
4
(i)
293
9
(ii)
229
7
(iii)
33
(iv)
227
7
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 7.
29
10
41
40
31
30
6
26
26
16
(i)
39
2
(ii)
73
4
(iii)
35
2
(iv)
37
2
(v)
19
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.
9
10
6
7
42
31
1
35
18
6
19
(i)
370
11
(ii)
366
11
(iii)
434
13
(iv)
302
9
(v)
368
11
Question
18
18.
Heights of 15 students (in cm) are given below. Find the mean height.
146
141
160
135
136
153
142
132
159
148
127
160
168
154
160
(i)
2236
15
cm
(ii)
741
5
cm
(iii)
2221
15
cm
(iv)
2222
15
cm
(v)
2251
15
cm
Question
19
19.
Heights of 14 plants (in cm) are given below. Find the mean height.
78
53
66
81
79
59
83
55
50
76
96
52
69
95
(i)
498
7
cm
(ii)
503
7
cm
(iii)
510
7
cm
(iv)
496
7
cm
(v)
71
cm
Question
20
20.
Ages of 10 students (in years) are given below. Find the mean age.
13
15
10
11
12
15
14
11
10
13
(i)
63
5
years
(ii)
62
5
years
(iii)
64
5
years
(iv)
67
5
years
(v)
72
5
years
Question
21
21.
Rainfall of 14 days (in mm) are given below. Find the mean rainfall.
11
11
12
5
13
7
6
5
12
7
8
8
12
10
(i)
141
14
mm
(ii)
127
14
mm
(iii)
64
7
mm
(iv)
129
14
mm
(v)
155
14
mm
Question
22
22.
Scores of 10 students are given below. Find the mean score.
81
89
75
83
72
76
86
83
81
87
(i)
407
5
(ii)
833
10
(iii)
813
10
(iv)
163
2
(v)
823
10
Question
23
23.
Temperatures of 13 days (in °C) are given below. Find the mean temperature.
25
34
32
25
33
32
32
32
35
34
29
32
35
(i)
436
13
°C
(ii)
423
13
°C
(iii)
410
13
°C
(iv)
411
13
°C
(v)
412
13
°C
Question
24
24.
Weights of 14 students (in kg) are given below. Find the mean weight.
57
56
55
46
57
57
49
40
40
58
44
49
60
57
(i)
727
14
kg
(ii)
739
14
kg
(iii)
753
14
kg
(iv)
363
7
kg
(v)
725
14
kg
Question
25
25.
Daily wages of 11 labourers (in ₹) are given below. Find the mean wage.
467
375
341
331
436
470
338
377
387
408
331
(i)
₹
387.36
(ii)
₹
387.55
(iii)
₹
387.45
(iv)
₹
388.36
(v)
₹
389.36
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
12
4
5
16
43
43
is
(i)
20.5
(ii)
22.5
(iii)
18.5
(iv)
21.5
(v)
19.5
Question
28
28.
If the mean of
4
samples is
19
,
what is the new mean if
4
is added to each number.
(i)
21
(ii)
23
(iii)
25
(iv)
24
(v)
22
Question
29
29.
If the mean of
5
samples is
22
,
what is the new mean if
5
is subtracted from each number.
(i)
14
(ii)
16
(iii)
18
(iv)
17
(v)
19
Question
30
30.
If the mean of
7
samples is
15
4
7
,
what is the new mean if each number is multiplied by
4
.
(i)
438
7
(ii)
436
7
(iii)
312
5
(iv)
560
9
(v)
62
Question
31
31.
The mean of
5
numbers is
8
2
5
.
Upon
excluding
one number,
the mean becomes
6
1
2
.
Find the
excluded
number.
(i)
15
(ii)
14
(iii)
16
(iv)
18
(v)
17
Question
32
32.
The mean of
5
numbers is
10
1
5
.
Upon
adding
one number,
the mean becomes
9
1
3
.
Find the
included
number.
(i)
2
(ii)
6
(iii)
4
(iv)
7
(v)
5
Question
33
33.
The mean of the below random sample is
33
9
10
.
Find the missing quantity.
42
38
40
x
48
44
27
26
26
22
(i)
26
(ii)
27
(iii)
23
(iv)
28
(v)
25
Assignment Key
1) (ii)
2) (v)
3) (iii)
4) (ii)
5) (iii)
6) (v)
7) (iii)
8) (i)
9) (i)
10) (iii)
11) (iii)
12) (ii)
13) (ii)
14) (i)
15) (ii)
16) (iv)
17) (v)
18) (iii)
19) (iv)
20) (ii)
21) (ii)
22) (iii)
23) (iii)
24) (v)
25) (i)
26) (i)
27) (i)
28) (ii)
29) (iv)
30) (ii)
31) (iii)
32) (v)
33) (i)