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.
4
10
7
1
7
3
3
11
2
20
18
17
(i)
8
7
12
(ii)
20
(iii)
3
(iv)
19
(v)
1
Question
2
2.
If the mean of
10
4
x
8
2
is
5
4
5
,
find the value of x.
(i)
6
(ii)
4
(iii)
5
(iv)
7
(v)
3
Question
3
3.
Given the mean of
6
samples as
11
5
6
,
what is the mean if a sample value is
increased
by
14
?
(i)
83
6
(ii)
57
4
(iii)
29
2
(iv)
85
6
(v)
113
8
Question
4
4.
Given the mean of
9
samples as
10
4
9
,
what is the mean if a sample value is
decreased
by
11
?
(i)
65
7
(ii)
85
9
(iii)
9
(iv)
101
11
(v)
83
9
Question
5
5.
Given the mean of
10
samples as
5
7
10
,
what is the new mean if two samples
8
and
3
are added ?
(i)
27
5
(ii)
7
(iii)
17
3
(iv)
5
(v)
19
3
Question
6
6.
Given the mean of
12
samples as
6
1
12
,
what is the new mean if two samples
1
and
9
are removed ?
(i)
13
2
(ii)
51
8
(iii)
61
10
(iv)
63
10
(v)
25
4
Question
7
7.
Find the mean of all prime numbers between 40 and 90.
(i)
383
6
(ii)
127
2
(iii)
385
6
(iv)
257
4
(v)
509
8
Question
8
8.
Find the mean of all prime numbers between 30 and 100.
(i)
929
15
(ii)
931
15
(iii)
807
13
(iv)
311
5
(v)
1055
17
Question
9
9.
Find the mean of first 6 multiples of 12.
(i)
44
(ii)
42
(iii)
43
(iv)
41
(v)
40
Question
10
10.
Find the mean of first 6 whole numbers.
(i)
7
2
(ii)
3
(iii)
9
4
(iv)
5
2
(v)
3
2
Question
11
11.
Find the mean of first 7 multiples of 13.
(i)
54
(ii)
53
(iii)
52
(iv)
49
(v)
51
Question
12
12.
Find the mean of the first 15 odd numbers.
(i)
15
(ii)
13
(iii)
18
(iv)
16
(v)
14
Question
13
13.
Find the mean of the first 10 even numbers.
(i)
8
(ii)
10
(iii)
11
(iv)
12
(v)
14
Question
14
14.
The marks obtained by 12 students in a test are given below. Find their mean marks.
6
11
36
19
17
44
7
19
49
49
32
17
(i)
49
2
(ii)
101
4
(iii)
51
2
(iv)
26
(v)
53
2
Question
15
15.
The marks obtained by 13 students in a test are given below. Find the mean of their marks when the marks of each student is increased by 8.
23
7
15
46
36
14
11
34
15
35
48
24
8
(i)
418
13
(ii)
420
13
(iii)
356
11
(iv)
484
15
(v)
422
13
Question
16
16.
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 decreased by 8.
8
33
31
34
21
10
22
21
49
20
33
42
32
27
5
(i)
302
17
(ii)
18
(iii)
266
15
(iv)
268
15
Question
17
17.
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 doubled.
25
21
43
48
38
1
29
1
10
16
44
28
29
49
(i)
382
7
(ii)
380
7
(iii)
490
9
(iv)
274
5
(v)
384
7
Question
18
18.
Heights of 12 students (in cm) are given below. Find the mean height.
163
161
140
155
164
147
155
144
156
142
140
151
(i)
303
2
cm
(ii)
152
cm
(iii)
305
2
cm
(iv)
307
2
cm
Question
19
19.
Heights of 14 plants (in cm) are given below. Find the mean height.
91
90
77
59
72
95
67
63
53
76
88
81
76
57
(i)
1059
14
cm
(ii)
523
7
cm
(iii)
1047
14
cm
(iv)
1045
14
cm
(v)
1073
14
cm
Question
20
20.
Ages of 10 students (in years) are given below. Find the mean age.
10
11
14
14
13
14
10
11
15
12
(i)
72
5
years
(ii)
64
5
years
(iii)
67
5
years
(iv)
63
5
years
(v)
62
5
years
Question
21
21.
Rainfall of 10 days (in mm) are given below. Find the mean rainfall.
9
5
6
12
5
15
7
10
8
8
(i)
17
2
mm
(ii)
19
2
mm
(iii)
21
2
mm
(iv)
9
mm
Question
22
22.
Scores of 14 students are given below. Find the mean score.
88
75
75
79
77
76
78
75
77
77
85
72
76
81
(i)
1093
14
(ii)
1105
14
(iii)
1091
14
(iv)
1119
14
(v)
78
Question
23
23.
Temperatures of 10 days (in °C) are given below. Find the mean temperature.
30
27
26
27
32
26
30
25
34
34
(i)
301
10
°C
(ii)
311
10
°C
(iii)
146
5
°C
(iv)
291
10
°C
(v)
293
10
°C
Question
24
24.
Weights of 12 students (in kg) are given below. Find the mean weight.
57
55
57
55
47
40
57
54
42
42
46
46
(i)
301
6
kg
(ii)
305
6
kg
(iii)
311
6
kg
(iv)
50
kg
(v)
299
6
kg
Question
25
25.
Daily wages of 10 labourers (in ₹) are given below. Find the mean wage.
416
365
461
475
338
385
439
499
418
494
(i)
₹
429.00
(ii)
₹
431.00
(iii)
₹
427.00
(iv)
₹
430.00
(v)
₹
428.00
Question
26
26.
The arithmetic mean of a + 2, a, and a - 2 is
(i)
a + 2
(ii)
3a
(iii)
a - 2
(iv)
a
Question
27
27.
The arithmetic mean of
7
15
30
28
49
29
6
11
is
(i)
20.88
(ii)
19.88
(iii)
21.88
(iv)
23.88
(v)
22.88
Question
28
28.
If the mean of
7
samples is
22
5
7
,
what is the new mean if
8
is added to each number.
(i)
213
7
(ii)
275
9
(iii)
31
(iv)
215
7
Question
29
29.
If the mean of
4
samples is
23
3
4
,
what is the new mean if
9
is subtracted from each number.
(i)
57
4
(ii)
59
4
(iii)
29
2
(iv)
31
2
(v)
61
4
Question
30
30.
If the mean of
4
samples is
29
1
4
,
what is the new mean if each number is multiplied by
3
.
(i)
353
4
(ii)
351
4
(iii)
177
2
(iv)
175
2
(v)
349
4
Question
31
31.
The mean of
5
numbers is
9
4
5
.
Upon
excluding
one number,
the mean becomes
7
1
2
.
Find the
excluded
number.
(i)
20
(ii)
21
(iii)
17
(iv)
19
(v)
18
Question
32
32.
The mean of
10
numbers is
7
3
5
.
Upon
adding
one number,
the mean becomes
7
8
11
.
Find the
included
number.
(i)
10
(ii)
8
(iii)
12
(iv)
9
(v)
7
Question
33
33.
The mean of the below random sample is
27
1
2
.
Find the missing quantity.
19
42
37
33
11
x
40
25
12
24
(i)
32
(ii)
31
(iii)
35
(iv)
29
(v)
33
Assignment Key
1) (i)
2) (iii)
3) (iv)
4) (v)
5) (iii)
6) (iv)
7) (i)
8) (ii)
9) (ii)
10) (iv)
11) (iii)
12) (i)
13) (iii)
14) (iii)
15) (ii)
16) (iv)
17) (i)
18) (i)
19) (iv)
20) (v)
21) (i)
22) (iii)
23) (iv)
24) (v)
25) (i)
26) (iv)
27) (iii)
28) (iv)
29) (ii)
30) (ii)
31) (iv)
32) (iv)
33) (i)