EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Mean and Median of Ungrouped Data
Grade : ICSE Grade IX
License : Non Commercial Use
Question
1
1.
The observations of an ungrouped data are
x
1
,
x
2
,
x
3
and
x
1
<
x
2
<
x
3
.
If the mean and median of the data are
54
and
36
respectively and
x
3
-
x
1
=
90
,
find
x
1
,
x
2
,
x
3
(i)
36
,
36
,
216
(ii)
18
,
36
,
108
(iii)
20
,
36
,
110
(iv)
22
,
36
,
112
Question
2
2.
Daily wages of 11 labourers (in ₹) are given below. Find the median wage.
345
464
345
339
408
380
394
448
313
318
487
(i)
₹
380.00
(ii)
₹
378.00
(iii)
₹
381.00
(iv)
₹
382.00
(v)
₹
379.00
Question
3
3.
Heights of 15 students (in cm) are given below. Find the mean height.
153
145
127
135
156
128
162
144
128
132
137
126
167
134
132
(i)
704
5
cm
(ii)
712
5
cm
(iii)
707
5
cm
(iv)
703
5
cm
(v)
702
5
cm
Question
4
4.
Temperatures of 20 days are given below. Find the mean.
Temperature (in degree C)
25
26
27
28
29
30
31
34
No. of days
4
1
3
3
3
3
2
1
(i)
143
5
°C
(ii)
142
5
°C
(iii)
141
5
°C
(iv)
151
5
°C
(v)
146
5
°C
Question
5
5.
Find the mean of first 9 multiples of 9.
(i)
45
(ii)
46
(iii)
44
(iv)
47
(v)
42
Question
6
6.
Heights of 15 plants are given below. Find the mean.
Height (in cm)
56
57
67
68
82
91
93
95
96
No. of plants
3
3
1
2
1
2
1
1
1
(i)
224
3
cm
(ii)
221
3
cm
(iii)
220
3
cm
(iv)
218
3
cm
(v)
73
cm
Question
7
7.
Find the mean of the first 20 even numbers.
(i)
18
(ii)
20
(iii)
22
(iv)
21
(v)
23
Question
8
8.
The marks obtained by 15 students in a test are given below. Find their mean marks.
11
16
16
25
44
49
15
44
11
26
13
12
30
14
49
(i)
26
(ii)
24
(iii)
25
(iv)
23
(v)
28
Question
9
9.
The observations of an ungrouped data are
x
1
,
x
2
,
2x
1
and
x
1
<
x
2
<
2x
1
.
If the mean and median of the data are equal to
12
,
find the observations of the data
(i)
9
,
12
,
18
(ii)
8
,
12
,
16
(iii)
12
,
12
,
20
(iv)
16
,
12
,
32
Question
10
10.
Rainfall of 14 days (in mm) are given below. Find the median rainfall.
14
12
12
10
12
5
5
8
15
15
15
10
6
13
(i)
12
mm
(ii)
10
mm
(iii)
11
mm
(iv)
14
mm
(v)
13
mm
Question
11
11.
Ages of 20 students are given below. Find the mean.
Age (in years)
10
11
12
13
14
15
No. of students
4
4
2
3
3
4
(i)
251
20
years
(ii)
269
20
years
(iii)
25
2
years
(iv)
249
20
years
(v)
289
20
years
Question
12
12.
Heights of 15 plants (in cm) are given below. Find the mean height.
93
51
80
81
99
97
50
95
84
81
63
95
93
70
67
(i)
80
cm
(ii)
1229
15
cm
(iii)
1199
15
cm
(iv)
1214
15
cm
(v)
1201
15
cm
Question
13
13.
Heights of 15 plants are given below. Find the median.
Height (in cm)
60
61
62
66
68
71
73
85
No. of plants
1
2
1
1
1
2
4
3
(i)
73
cm
(ii)
70
cm
(iii)
69
cm
(iv)
72
cm
(v)
71
cm
Question
14
14.
Heights of 15 students are given below. Find the mean.
Height (in cm)
127
141
150
151
153
157
158
169
172
No. of students
1
1
1
3
4
1
1
2
1
(i)
2308
15
cm
(ii)
2338
15
cm
(iii)
154
cm
(iv)
2309
15
cm
(v)
2323
15
cm
Question
15
15.
If the mean of the following frequency distribution is
7
27
37
,
find the value of 'x'.
Value
Frequency
5
3
6
8
7
7
8
7
9
5
10
x
11
3
(i)
7
(ii)
4
(iii)
3
(iv)
5
(v)
1
Question
16
16.
Scores of 10 students are given below. Find the mean.
Score
71
72
77
78
85
90
No. of students
1
1
1
3
1
3
(i)
811
10
(ii)
81
(iii)
809
10
(iv)
829
10
(v)
819
10
Question
17
17.
Given the mean of
11
samples as
10
1
11
,
what is the mean if a sample value is
decreased
by
17
?
(i)
110
13
(ii)
26
3
(iii)
92
11
(iv)
96
11
(v)
94
11
Question
18
18.
Heights of 10 plants (in cm) are given below. Find the median height.
55
71
69
52
84
51
50
56
88
60
(i)
58
cm
(ii)
60
cm
(iii)
57
cm
(iv)
56
cm
(v)
59
cm
Question
19
19.
Given the mean of
10
samples as
6
1
2
,
what is the new mean if two samples
4
and
5
are added ?
(i)
49
8
(ii)
35
6
(iii)
13
2
(iv)
37
6
(v)
25
4
Question
20
20.
The scores obtained by 8 students in a test are given below. Find the median.
18
18
1
12
2
10
4
15
(i)
11
(ii)
10
(iii)
1
(iv)
17
(v)
18
Question
21
21.
The marks obtained by 13 students in a test are given below. Find their median marks.
2
18
1
22
37
38
48
18
11
38
32
21
4
(i)
20
(ii)
18
(iii)
21
(iv)
22
(v)
23
Question
22
22.
If the sum of the following frequency distribution is
24
,
find the value of 'x'.
Value
Frequency
1
2
2
3
3
x
4
3
5
3
6
1
7
3
8
5
10
3
(i)
2
(ii)
3
(iii)
0
(iv)
1
(v)
-1
Question
23
23.
Rainfall of 15 days (in mm) are given below. Find the mean rainfall.
6
15
9
7
14
5
7
14
6
9
9
15
11
5
5
(i)
46
5
mm
(ii)
137
15
mm
(iii)
167
15
mm
(iv)
152
15
mm
(v)
139
15
mm
Question
24
24.
Find the mean of the first 10 odd numbers.
(i)
10
(ii)
9
(iii)
11
(iv)
7
(v)
12
Question
25
25.
Temperatures of 12 days (in °C) are given below. Find the median temperature.
30
25
32
30
27
32
35
26
25
34
30
28
(i)
31
°C
(ii)
32
°C
(iii)
30
°C
(iv)
28
°C
(v)
29
°C
Assignment Key
1) (ii)
2) (i)
3) (v)
4) (iii)
5) (i)
6) (iv)
7) (iv)
8) (iii)
9) (ii)
10) (i)
11) (iv)
12) (iii)
13) (v)
14) (i)
15) (ii)
16) (iii)
17) (v)
18) (i)
19) (iv)
20) (i)
21) (iii)
22) (iv)
23) (ii)
24) (i)
25) (iii)
