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 15 students are given below. Find the median.
Height (in cm)
126
128
129
131
137
148
154
155
169
No. of students
1
1
1
1
4
1
1
2
3
(i)
139
cm
(ii)
136
cm
(iii)
137
cm
(iv)
138
cm
(v)
135
cm
Question
2
2.
Heights of 10 plants are given below. Find the median.
Height (in cm)
77
81
84
85
93
96
No. of plants
1
1
4
2
1
1
(i)
83
cm
(ii)
84
cm
(iii)
85
cm
(iv)
82
cm
(v)
86
cm
Question
3
3.
Ages of 15 students are given below. Find the median.
Age (in years)
10
12
13
14
15
No. of students
3
3
3
2
4
(i)
11
years
(ii)
12
years
(iii)
14
years
(iv)
15
years
(v)
13
years
Question
4
4.
Scores of 30 students are given below. Find the median.
Score
71
72
73
74
76
81
82
84
85
86
88
No. of students
1
5
2
3
1
5
2
4
3
3
1
(i)
81
(ii)
79
(iii)
82
(iv)
80
(v)
83
Question
5
5.
Rainfall of 10 days are given below. Find the median.
Rainfall (in mm)
6
8
9
10
11
12
13
No. of days
3
1
1
1
1
2
1
(i)
21
2
mm
(ii)
23
2
mm
(iii)
10
mm
(iv)
19
2
mm
Question
6
6.
Temperatures of 10 days are given below. Find the median.
Temperature (in degree C)
25
28
30
31
32
35
No. of days
1
2
2
1
1
3
(i)
63
2
°C
(ii)
65
2
°C
(iii)
61
2
°C
(iv)
31
°C
Question
7
7.
Weights of 10 students are given below. Find the median.
Weight (in kg)
46
48
50
51
55
56
No. of students
2
1
2
2
1
2
(i)
105
2
kg
(ii)
103
2
kg
(iii)
51
kg
(iv)
101
2
kg
Question
8
8.
Wages of 15 labourers are given below. Find the median.
Wage (in rupees)
306
411
437
442
466
No. of labourers
3
5
1
3
3
(i)
₹
412.00
(ii)
₹
409.00
(iii)
₹
413.00
(iv)
₹
410.00
(v)
₹
411.00
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)
68.61
(ii)
71.61
(iii)
67.61
(iv)
70.61
(v)
69.61
Question
10
10.
Identify the frequency distribution table for the given '
median
' ogive.
(i)
Class-Interval
16 - 25
26 - 35
36 - 45
46 - 55
56 - 65
66 - 75
Frequency
16
14
1
11
16
17
(ii)
Class-Interval
16 - 25
26 - 35
36 - 45
46 - 55
56 - 65
66 - 75
Frequency
8
10
12
11
12
6
(iii)
Class-Interval
16 - 25
26 - 35
36 - 45
46 - 55
56 - 65
66 - 75
Frequency
11
12
6
9
10
3
(iv)
Class-Interval
16 - 25
26 - 35
36 - 45
46 - 55
56 - 65
66 - 75
Frequency
13
10
18
11
18
16
(v)
Class-Interval
16 - 25
26 - 35
36 - 45
46 - 55
56 - 65
66 - 75
Frequency
8
7
5
17
20
11
Question
11
11.
Identify the frequency distribution table for the given '
median
' ogive.
(i)
Class-Interval
20 - 26
26 - 32
32 - 38
38 - 44
44 - 50
50 - 56
56 - 62
62 - 68
Frequency
20
8
17
10
19
16
2
16
(ii)
Class-Interval
20 - 26
26 - 32
32 - 38
38 - 44
44 - 50
50 - 56
56 - 62
62 - 68
Frequency
19
5
8
10
10
15
9
15
(iii)
Class-Interval
20 - 26
26 - 32
32 - 38
38 - 44
44 - 50
50 - 56
56 - 62
62 - 68
Frequency
19
2
7
9
10
3
16
8
(iv)
Class-Interval
20 - 26
26 - 32
32 - 38
38 - 44
44 - 50
50 - 56
56 - 62
62 - 68
Frequency
17
3
3
20
1
11
9
15
(v)
Class-Interval
20 - 26
26 - 32
32 - 38
38 - 44
44 - 50
50 - 56
56 - 62
62 - 68
Frequency
7
8
11
3
3
12
10
3
Assignment Key
1) (iii)
2) (ii)
3) (v)
4) (i)
5) (iv)
6) (iii)
7) (iv)
8) (v)
9) (v)
10) (ii)
11) (v)
