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 10 students are given below. Find the median.
Height (in cm)
129
132
133
144
149
155
No. of students
2
2
1
3
1
1
(i)
277
2
cm
(ii)
279
2
cm
(iii)
281
2
cm
(iv)
139
cm
Question
2
2.
Heights of 20 plants are given below. Find the median.
Height (in cm)
52
56
64
70
71
80
81
82
85
93
100
No. of plants
1
2
2
1
1
1
2
1
4
2
3
(i)
163
2
cm
(ii)
82
cm
(iii)
167
2
cm
(iv)
165
2
cm
Question
3
3.
Ages of 15 students are given below. Find the median.
Age (in years)
10
11
12
13
14
No. of students
3
2
4
2
4
(i)
12
years
(ii)
14
years
(iii)
11
years
(iv)
10
years
(v)
13
years
Question
4
4.
Scores of 20 students are given below. Find the median.
Score
71
73
78
79
80
81
83
86
87
89
90
No. of students
2
3
2
1
1
1
2
1
1
1
5
(i)
80
(ii)
83
(iii)
84
(iv)
82
(v)
81
Question
5
5.
Rainfall of 30 days are given below. Find the median.
Rainfall (in mm)
6
7
9
12
14
15
No. of days
1
6
6
10
5
2
(i)
14
mm
(ii)
10
mm
(iii)
11
mm
(iv)
13
mm
(v)
12
mm
Question
6
6.
Temperatures of 15 days are given below. Find the median.
Temperature (in degree C)
27
28
29
31
33
35
No. of days
6
3
1
2
1
2
(i)
26
°C
(ii)
28
°C
(iii)
30
°C
(iv)
29
°C
(v)
27
°C
Question
7
7.
Weights of 30 students are given below. Find the median.
Weight (in kg)
41
43
46
53
55
57
58
59
60
No. of students
2
3
2
2
7
3
3
4
4
(i)
55
kg
(ii)
54
kg
(iii)
53
kg
(iv)
57
kg
(v)
56
kg
Question
8
8.
Wages of 30 labourers are given below. Find the median.
Wage (in rupees)
314
369
393
431
460
463
484
495
No. of labourers
1
3
4
5
3
3
3
8
(i)
₹
459.00
(ii)
₹
462.00
(iii)
₹
461.00
(iv)
₹
458.00
(v)
₹
460.00
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)
66.56
(ii)
65.56
(iii)
67.56
(iv)
68.56
(v)
69.56
Question
10
10.
Identify the frequency distribution table for the given '
median
' ogive.
(i)
Class-Interval
13 - 23
24 - 34
35 - 45
46 - 56
57 - 67
Frequency
10
8
17
9
5
(ii)
Class-Interval
13 - 23
24 - 34
35 - 45
46 - 56
57 - 67
Frequency
9
11
9
11
4
(iii)
Class-Interval
13 - 23
24 - 34
35 - 45
46 - 56
57 - 67
Frequency
1
8
19
12
13
(iv)
Class-Interval
13 - 23
24 - 34
35 - 45
46 - 56
57 - 67
Frequency
1
10
3
2
14
(v)
Class-Interval
13 - 23
24 - 34
35 - 45
46 - 56
57 - 67
Frequency
4
20
11
15
7
Question
11
11.
Identify the frequency distribution table for the given '
median
' ogive.
(i)
Class-Interval
10 - 18
18 - 26
26 - 34
34 - 42
42 - 50
50 - 58
58 - 66
66 - 74
Frequency
8
6
1
8
3
13
17
5
(ii)
Class-Interval
10 - 18
18 - 26
26 - 34
34 - 42
42 - 50
50 - 58
58 - 66
66 - 74
Frequency
12
14
11
7
12
9
3
11
(iii)
Class-Interval
10 - 18
18 - 26
26 - 34
34 - 42
42 - 50
50 - 58
58 - 66
66 - 74
Frequency
14
2
18
1
1
9
6
4
(iv)
Class-Interval
10 - 18
18 - 26
26 - 34
34 - 42
42 - 50
50 - 58
58 - 66
66 - 74
Frequency
4
5
11
10
6
9
9
7
(v)
Class-Interval
10 - 18
18 - 26
26 - 34
34 - 42
42 - 50
50 - 58
58 - 66
66 - 74
Frequency
20
16
10
18
18
7
14
12
Assignment Key
1) (i)
2) (i)
3) (i)
4) (iv)
5) (v)
6) (ii)
7) (i)
8) (v)
9) (iii)
10) (ii)
11) (iv)