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 14 students in a test are given below. Find the mean score.
20
16
1
1
5
15
3
16
8
9
16
18
13
5
(i)
11
(ii)
10
3
7
(iii)
19
(iv)
16
(v)
1
Question
2
2.
If the mean of
8
6
x
3
2
is
5
3
5
,
find the value of x.
(i)
9
(ii)
12
(iii)
8
(iv)
10
(v)
7
Question
3
3.
Given the mean of
9
samples as
8
2
3
,
what is the mean if a sample value is
increased
by
11
?
(i)
91
9
(ii)
29
3
(iii)
89
9
(iv)
107
11
(v)
71
7
Question
4
4.
Given the mean of
12
samples as
12
1
2
,
what is the mean if a sample value is
decreased
by
20
?
(i)
45
4
(ii)
85
8
(iii)
65
6
(iv)
67
6
(v)
21
2
Question
5
5.
Given the mean of
10
samples as
6
3
10
,
what is the new mean if two samples
1
and
8
are added ?
(i)
3
(ii)
9
(iii)
6
(iv)
7
(v)
5
Question
6
6.
Given the mean of
12
samples as
5
7
12
,
what is the new mean if two samples
5
and
5
are removed ?
(i)
57
10
(ii)
11
2
(iii)
47
8
(iv)
67
12
(v)
59
10
Question
7
7.
Find the mean of all prime numbers between 20 and 70.
(i)
489
11
(ii)
579
13
(iii)
403
9
(iv)
493
11
(v)
491
11
Question
8
8.
Find the mean of all prime numbers between 40 and 60.
(i)
243
5
(ii)
49
(iii)
241
5
(iv)
339
7
Question
9
9.
Find the mean of first 7 multiples of 5.
(i)
19
(ii)
18
(iii)
21
(iv)
20
(v)
23
Question
10
10.
Find the mean of first 10 whole numbers.
(i)
9
2
(ii)
11
2
(iii)
17
4
(iv)
7
2
(v)
5
Question
11
11.
Find the mean of first 7 multiples of 3.
(i)
13
(ii)
11
(iii)
15
(iv)
12
(v)
10
Question
12
12.
Find the mean of the first 15 odd numbers.
(i)
15
(ii)
12
(iii)
14
(iv)
16
(v)
17
Question
13
13.
Find the mean of the first 15 even numbers.
(i)
16
(ii)
17
(iii)
19
(iv)
14
(v)
15
Question
14
14.
The marks obtained by 11 students in a test are given below. Find their mean marks.
39
37
32
37
12
3
28
28
7
10
47
(i)
230
9
(ii)
330
13
(iii)
278
11
(iv)
280
11
(v)
282
11
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 1.
11
26
5
48
28
13
35
25
7
5
15
9
(i)
241
12
(ii)
239
12
(iii)
201
10
(iv)
277
14
(v)
79
4
Question
16
16.
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 decreased by 1.
37
4
22
9
22
29
5
21
31
46
22
26
(i)
133
6
(ii)
173
8
(iii)
43
2
(iv)
89
4
(v)
131
6
Question
17
17.
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 doubled.
34
35
28
24
20
21
31
2
14
31
(i)
47
(ii)
46
(iii)
48
(iv)
51
(v)
49
Question
18
18.
Heights of 12 students (in cm) are given below. Find the mean height.
168
149
170
145
149
147
156
128
151
161
128
159
(i)
1823
12
cm
(ii)
151
cm
(iii)
1811
12
cm
(iv)
1813
12
cm
(v)
1835
12
cm
Question
19
19.
Heights of 14 plants (in cm) are given below. Find the mean height.
57
79
52
73
69
70
64
79
64
84
78
67
84
92
(i)
520
7
cm
(ii)
507
7
cm
(iii)
513
7
cm
(iv)
506
7
cm
(v)
508
7
cm
Question
20
20.
Ages of 13 students (in years) are given below. Find the mean age.
14
15
13
14
11
15
10
15
15
12
10
14
10
(i)
170
13
years
(ii)
168
13
years
(iii)
194
13
years
(iv)
181
13
years
(v)
13
years
Question
21
21.
Rainfall of 10 days (in mm) are given below. Find the mean rainfall.
7
6
7
14
13
14
15
10
7
6
(i)
99
10
mm
(ii)
10
mm
(iii)
101
10
mm
(iv)
109
10
mm
(v)
119
10
mm
Question
22
22.
Scores of 14 students are given below. Find the mean score.
75
78
72
72
80
71
87
79
81
88
82
90
72
79
(i)
80
(ii)
81
(iii)
77
(iv)
79
(v)
78
Question
23
23.
Temperatures of 13 days (in °C) are given below. Find the mean temperature.
28
30
28
29
27
33
32
26
29
28
28
26
27
(i)
384
13
°C
(ii)
371
13
°C
(iii)
373
13
°C
(iv)
372
13
°C
(v)
397
13
°C
Question
24
24.
Weights of 15 students (in kg) are given below. Find the mean weight.
44
46
60
56
40
54
54
45
41
41
53
53
55
42
45
(i)
244
5
kg
(ii)
253
5
kg
(iii)
243
5
kg
(iv)
49
kg
(v)
248
5
kg
Question
25
25.
Daily wages of 14 labourers (in ₹) are given below. Find the mean wage.
304
399
351
390
355
481
335
441
419
427
497
398
402
352
(i)
₹
397.00
(ii)
₹
398.50
(iii)
₹
396.50
(iv)
₹
397.50
Question
26
26.
The arithmetic mean of a + 2, a, and a - 2 is
(i)
a + 2
(ii)
3a
(iii)
a
(iv)
a - 2
Question
27
27.
The arithmetic mean of
5
45
1
30
35
36
is
(i)
25.33
(ii)
24.33
(iii)
23.33
(iv)
27.33
(v)
26.33
Question
28
28.
If the mean of
7
samples is
14
6
7
,
what is the new mean if
7
is added to each number.
(i)
153
7
(ii)
155
7
(iii)
151
7
(iv)
111
5
(v)
65
3
Question
29
29.
If the mean of
8
samples is
19
1
4
,
what is the new mean if
7
is subtracted from each number.
(i)
49
4
(ii)
47
4
(iii)
25
2
(iv)
51
4
(v)
73
6
Question
30
30.
If the mean of
7
samples is
20
1
7
,
what is the new mean if each number is multiplied by
7
.
(i)
139
(ii)
143
(iii)
142
(iv)
141
(v)
140
Question
31
31.
The mean of
8
numbers is
6
1
4
.
Upon
excluding
one number,
the mean becomes
7
.
Find the
excluded
number.
(i)
-2
(ii)
1
(iii)
2
(iv)
0
(v)
4
Question
32
32.
The mean of
8
numbers is
9
7
8
.
Upon
adding
one number,
the mean becomes
10
8
9
.
Find the
included
number.
(i)
18
(ii)
17
(iii)
20
(iv)
19
(v)
22
Question
33
33.
The mean of the below random sample is
25
9
10
.
Find the missing quantity.
x
32
49
14
12
24
10
34
39
28
(i)
20
(ii)
14
(iii)
17
(iv)
18
(v)
16
Assignment Key
1) (ii)
2) (i)
3) (iii)
4) (iii)
5) (iii)
6) (i)
7) (v)
8) (i)
9) (iv)
10) (i)
11) (iv)
12) (i)
13) (i)
14) (iv)
15) (ii)
16) (v)
17) (iii)
18) (iii)
19) (iv)
20) (ii)
21) (i)
22) (iv)
23) (ii)
24) (iii)
25) (iii)
26) (iii)
27) (i)
28) (i)
29) (i)
30) (iv)
31) (ii)
32) (iv)
33) (iii)