EduSahara™ Assignment
Name : Median of Grouped Data
Chapter : Median, Quartiles and Mode
Grade : ICSE Grade X
License : Non Commercial Use
Question
1
1.
Heights of 30 students are given below. Find the median.
Height (in cm)
125
137
140
148
149
152
164
168
No. of students
5
4
4
5
2
4
4
2
(i)
146
cm
(ii)
150
cm
(iii)
149
cm
(iv)
147
cm
(v)
148
cm
Question
2
2.
Heights of 10 plants are given below. Find the median.
Height (in cm)
50
55
69
90
91
100
No. of plants
1
1
1
2
3
2
(i)
185
2
cm
(ii)
181
2
cm
(iii)
183
2
cm
(iv)
91
cm
Question
3
3.
Ages of 25 students are given below. Find the median.
Age (in years)
10
11
12
13
14
15
No. of students
4
5
8
1
2
5
(i)
14
years
(ii)
10
years
(iii)
12
years
(iv)
11
years
(v)
13
years
Question
4
4.
Scores of 15 students are given below. Find the median.
Score
74
75
76
80
81
83
88
No. of students
2
2
1
1
2
2
5
(i)
81
(ii)
82
(iii)
83
(iv)
79
(v)
80
Question
5
5.
Rainfall of 15 days are given below. Find the median.
Rainfall (in mm)
5
7
8
9
12
13
15
No. of days
4
1
3
1
2
2
2
(i)
10
mm
(ii)
7
mm
(iii)
8
mm
(iv)
6
mm
(v)
9
mm
Question
6
6.
Temperatures of 25 days are given below. Find the median.
Temperature (in degree C)
25
26
27
29
31
32
35
No. of days
5
3
2
2
5
2
6
(i)
31
°C
(ii)
33
°C
(iii)
32
°C
(iv)
29
°C
(v)
30
°C
Question
7
7.
Weights of 10 students are given below. Find the median.
Weight (in kg)
46
50
52
57
58
60
No. of students
1
2
2
1
2
2
(i)
113
2
kg
(ii)
111
2
kg
(iii)
55
kg
(iv)
109
2
kg
Question
8
8.
Wages of 20 labourers are given below. Find the median.
Wage (in rupees)
304
308
315
320
330
416
419
447
No. of labourers
2
3
2
2
3
1
2
5
(i)
₹
330.00
(ii)
₹
332.00
(iii)
₹
329.00
(iv)
₹
328.00
(v)
₹
331.00
Question
9
9.
The histogram given below represents the marks obtained by some candidates in an examination.
Using data in the diagram, calculate the
median
marks.
(i)
59.65
(ii)
58.65
(iii)
61.65
(iv)
62.65
(v)
60.65
Question
10
10.
Identify the frequency distribution table for the given '
median
' ogive.
(i)
Class-Interval
14 - 22
23 - 31
32 - 40
41 - 49
50 - 58
59 - 67
68 - 76
Frequency
3
10
15
3
6
11
20
(ii)
Class-Interval
14 - 22
23 - 31
32 - 40
41 - 49
50 - 58
59 - 67
68 - 76
Frequency
1
2
16
13
3
12
16
(iii)
Class-Interval
14 - 22
23 - 31
32 - 40
41 - 49
50 - 58
59 - 67
68 - 76
Frequency
20
17
3
4
14
13
15
(iv)
Class-Interval
14 - 22
23 - 31
32 - 40
41 - 49
50 - 58
59 - 67
68 - 76
Frequency
7
7
11
3
11
10
9
(v)
Class-Interval
14 - 22
23 - 31
32 - 40
41 - 49
50 - 58
59 - 67
68 - 76
Frequency
19
16
4
12
6
16
3
Question
11
11.
Identify the frequency distribution table for the given '
median
' ogive.
(i)
Class-Interval
20 - 27
27 - 34
34 - 41
41 - 48
48 - 55
55 - 62
62 - 69
Frequency
13
10
4
17
9
1
11
(ii)
Class-Interval
20 - 27
27 - 34
34 - 41
41 - 48
48 - 55
55 - 62
62 - 69
Frequency
6
12
8
7
7
5
9
(iii)
Class-Interval
20 - 27
27 - 34
34 - 41
41 - 48
48 - 55
55 - 62
62 - 69
Frequency
20
7
15
4
9
6
20
(iv)
Class-Interval
20 - 27
27 - 34
34 - 41
41 - 48
48 - 55
55 - 62
62 - 69
Frequency
20
15
14
16
8
6
2
(v)
Class-Interval
20 - 27
27 - 34
34 - 41
41 - 48
48 - 55
55 - 62
62 - 69
Frequency
7
3
4
9
20
14
8
Assignment Key
1) (v)
2) (ii)
3) (iii)
4) (i)
5) (iii)
6) (i)
7) (iv)
8) (i)
9) (v)
10) (iv)
11) (ii)
