EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Statistics
Grade : SSC Grade X
License : Non Commercial Use
Question
1
1.
Weights of 11 students are given below. Find the mode.
Weight (in kg)
43
44
45
50
52
54
57
No. of students
3
1
1
2
2
1
1
(i)
45
kg
(ii)
43
kg
(iii)
41
kg
(iv)
44
kg
(v)
42
kg
Question
2
2.
Identify the frequency distribution table for the given ogive.
(i)
Class-Interval
12 - 19
19 - 26
26 - 33
33 - 40
40 - 47
47 - 54
54 - 61
Frequency
6
1
6
20
20
15
11
(ii)
Class-Interval
12 - 19
19 - 26
26 - 33
33 - 40
40 - 47
47 - 54
54 - 61
Frequency
10
11
7
2
17
6
6
(iii)
Class-Interval
12 - 19
19 - 26
26 - 33
33 - 40
40 - 47
47 - 54
54 - 61
Frequency
5
2
11
2
19
2
3
(iv)
Class-Interval
12 - 19
19 - 26
26 - 33
33 - 40
40 - 47
47 - 54
54 - 61
Frequency
19
4
14
10
17
17
5
(v)
Class-Interval
12 - 19
19 - 26
26 - 33
33 - 40
40 - 47
47 - 54
54 - 61
Frequency
18
6
20
9
14
6
8
Question
3
3.
A frequency distribution table is given below.
Find the
median .
Class-Interval
2 - 10
11 - 19
20 - 28
29 - 37
38 - 46
47 - 55
56 - 64
Frequency
14
9
30
45
48
25
30
(i)
1279
32
(ii)
1217
32
(iii)
1215
32
(iv)
1247
32
(v)
38
Question
4
4.
Scores of 110 students are given below.
Identify the frequency distribution table for the given '
more than
' ogive.
(i)
Score
82 - 91
91 - 100
100 - 109
109 - 118
118 - 127
127 - 136
136 - 145
No. of students
14
15
17
12
19
19
14
(ii)
Score
82 - 91
91 - 100
100 - 109
109 - 118
118 - 127
127 - 136
136 - 145
No. of students
14
17
20
12
19
19
14
(iii)
Score
82 - 91
91 - 100
100 - 109
109 - 118
118 - 127
127 - 136
136 - 145
No. of students
14
17
15
10
19
19
14
(iv)
Score
82 - 91
91 - 100
100 - 109
109 - 118
118 - 127
127 - 136
136 - 145
No. of students
14
14
15
12
19
19
17
(v)
Score
82 - 91
91 - 100
100 - 109
109 - 118
118 - 127
127 - 136
136 - 145
No. of students
14
17
15
12
19
19
14
Question
5
5.
Rainfall of 64 days (in mm) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Rainfall (in mm)
15 - 21
21 - 27
27 - 33
33 - 39
39 - 45
45 - 51
No. of days
7
19
5
9
5
19
(ii)
Rainfall (in mm)
15 - 21
21 - 27
27 - 33
33 - 39
39 - 45
45 - 51
No. of days
7
19
5
7
5
19
(iii)
Rainfall (in mm)
15 - 21
21 - 27
27 - 33
33 - 39
39 - 45
45 - 51
No. of days
7
5
19
9
5
19
(iv)
Rainfall (in mm)
15 - 21
21 - 27
27 - 33
33 - 39
39 - 45
45 - 51
No. of days
7
19
10
9
5
19
Question
6
6.
A frequency distribution table is given below.
Find the
mode .
Class-Interval
15 - 21
22 - 28
29 - 35
36 - 42
43 - 49
50 - 56
57 - 63
64 - 70
Frequency
44
3
32
23
17
29
32
40
(i)
3083
170
(ii)
3081
170
(iii)
3421
170
(iv)
3251
170
(v)
1541
85
Question
7
7.
Identify the cumulative frequency of the given grouped data.
class interval
35 - 45
46 - 56
57 - 67
68 - 78
79 - 89
frequency
6
7
20
15
13
(i)
class interval
Cumulative Frequency
35 - 45
6
46 - 56
8
57 - 67
28
68 - 78
43
79 - 89
56
(ii)
class interval
Cumulative Frequency
35 - 45
6
46 - 56
26
57 - 67
33
68 - 78
48
79 - 89
61
(iii)
class interval
Cumulative Frequency
35 - 45
6
46 - 56
13
57 - 67
30
68 - 78
45
79 - 89
58
(iv)
class interval
Cumulative Frequency
35 - 45
6
46 - 56
19
57 - 67
39
68 - 78
54
79 - 89
61
(v)
class interval
Cumulative Frequency
35 - 45
6
46 - 56
13
57 - 67
33
68 - 78
48
79 - 89
61
Question
8
8.
Rainfall of 78 days (in mm) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Rainfall (in mm)
15 - 24
25 - 34
35 - 44
45 - 54
55 - 64
65 - 74
No. of days
18
20
13
17
5
5
(ii)
Rainfall (in mm)
15 - 24
25 - 34
35 - 44
45 - 54
55 - 64
65 - 74
No. of days
18
5
13
12
5
20
(iii)
Rainfall (in mm)
15 - 24
25 - 34
35 - 44
45 - 54
55 - 64
65 - 74
No. of days
18
5
13
17
5
20
(iv)
Rainfall (in mm)
15 - 24
25 - 34
35 - 44
45 - 54
55 - 64
65 - 74
No. of days
18
5
10
17
5
20
(v)
Rainfall (in mm)
15 - 24
25 - 34
35 - 44
45 - 54
55 - 64
65 - 74
No. of days
18
13
5
17
5
20
Question
9
9.
Following are the ages (in years) of patients getting medical treatment in a hospital. Identify the cumulative frequency of the given grouped data.
Age (in years)
10 - 15
15 - 20
20 - 25
25 - 30
30 - 35
35 - 40
40 - 45
No. of Patients
88
75
28
58
16
34
50
(i)
Age (in years)
Cumulative Frequency
10 - 15
88
15 - 20
138
20 - 25
166
25 - 30
224
30 - 35
240
35 - 40
274
40 - 45
349
(ii)
Age (in years)
Cumulative Frequency
10 - 15
88
15 - 20
116
20 - 25
191
25 - 30
249
30 - 35
265
35 - 40
299
40 - 45
349
(iii)
Age (in years)
Cumulative Frequency
10 - 15
88
15 - 20
163
20 - 25
191
25 - 30
249
30 - 35
265
35 - 40
299
40 - 45
349
(iv)
Age (in years)
Cumulative Frequency
10 - 15
88
15 - 20
163
20 - 25
191
25 - 30
251
30 - 35
267
35 - 40
301
40 - 45
351
(v)
Age (in years)
Cumulative Frequency
10 - 15
88
15 - 20
163
20 - 25
186
25 - 30
244
30 - 35
260
35 - 40
294
40 - 45
344
Question
10
10.
Temperatures of 15 days are given below. Find the mean.
Temperature (in degree C)
25
28
29
30
31
33
34
35
No. of days
2
1
2
1
1
4
2
2
(i)
469
15
°C
(ii)
497
15
°C
(iii)
482
15
°C
(iv)
156
5
°C
(v)
467
15
°C
Question
11
11.
A frequency distribution table is given below.
Find the
mode .
Class-Interval
9 - 14
14 - 19
19 - 24
24 - 29
29 - 34
34 - 39
Frequency
35
12
33
42
15
46
(i)
2927
77
(ii)
2775
77
(iii)
2773
77
(iv)
2774
77
(v)
2850
77
Question
12
12.
Temperatures of 57 days (in °C) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Temperature (in degree)
26 - 35
36 - 45
46 - 55
56 - 65
66 - 75
No. of days
11
13
12
14
7
(ii)
Temperature (in degree)
26 - 35
36 - 45
46 - 55
56 - 65
66 - 75
No. of days
11
13
9
14
7
(iii)
Temperature (in degree)
26 - 35
36 - 45
46 - 55
56 - 65
66 - 75
No. of days
11
12
13
14
7
(iv)
Temperature (in degree)
26 - 35
36 - 45
46 - 55
56 - 65
66 - 75
No. of days
11
7
12
14
13
(v)
Temperature (in degree)
26 - 35
36 - 45
46 - 55
56 - 65
66 - 75
No. of days
11
9
12
14
7
Question
13
13.
Daily wages of 74 labourers (in ₹) are given below.
Identify the frequency distribution table for the given '
more than
' ogive.
(i)
Daily wage (in Rs)
240 - 246
246 - 252
252 - 258
258 - 264
264 - 270
270 - 276
No. of labourers
5
10
14
20
6
19
(ii)
Daily wage (in Rs)
240 - 246
246 - 252
252 - 258
258 - 264
264 - 270
270 - 276
No. of labourers
5
14
6
20
6
19
(iii)
Daily wage (in Rs)
240 - 246
246 - 252
252 - 258
258 - 264
264 - 270
270 - 276
No. of labourers
5
14
10
20
6
19
(iv)
Daily wage (in Rs)
240 - 246
246 - 252
252 - 258
258 - 264
264 - 270
270 - 276
No. of labourers
5
19
10
20
6
14
(v)
Daily wage (in Rs)
240 - 246
246 - 252
252 - 258
258 - 264
264 - 270
270 - 276
No. of labourers
5
14
10
15
6
19
Question
14
14.
Identify the class interval table for the given greater than cumulative frequency table
Class-Interval
Cumulative Frequency
27 - 35
64
35 - 43
52
43 - 51
46
51 - 59
31
59 - 67
26
67 - 75
16
(i)
Class-Interval
27 - 35
35 - 43
43 - 51
51 - 59
59 - 67
67 - 75
Frequency
12
6
19
5
10
16
(ii)
Class-Interval
27 - 35
35 - 43
43 - 51
51 - 59
59 - 67
67 - 75
Frequency
12
16
15
5
10
6
(iii)
Class-Interval
27 - 35
35 - 43
43 - 51
51 - 59
59 - 67
67 - 75
Frequency
12
15
6
5
10
16
(iv)
Class-Interval
27 - 35
35 - 43
43 - 51
51 - 59
59 - 67
67 - 75
Frequency
12
6
15
9
10
16
(v)
Class-Interval
27 - 35
35 - 43
43 - 51
51 - 59
59 - 67
67 - 75
Frequency
12
6
15
5
10
16
Question
15
15.
The heights of 37 pupils in a school are given below. Calculate the mean height correct to 2 decimal places.
Height (in cm)
less than 129
less than 138
less than 147
less than 156
less than 165
less than 174
No. of pupils
5
10
20
24
30
37
(i)
171.85 cm
(ii)
147.85 cm
(iii)
139.85 cm
(iv)
132.85 cm
(v)
149.85 cm
Question
16
16.
The following frequency distribution table gives
the monthly consumption of electricity of
120
consumers in a locality.
Find the
mode units.
Monthly consumption (in units)
56 - 66
66 - 76
76 - 86
86 - 96
96 - 106
106 - 116
116 - 126
No. of consumers
19
22
21
16
13
20
9
(i)
151
2
units
(ii)
147
2
units
(iii)
149
2
units
(iv)
74
units
Question
17
17.
Heights of 10 students are given below. Find the mean.
Height (in cm)
126
146
148
157
166
169
172
No. of students
1
1
1
1
3
2
1
(i)
159
cm
(ii)
321
2
cm
(iii)
317
2
cm
(iv)
319
2
cm
Question
18
18.
Rainfall of 65 days (in mm) are given below.
Identify the frequency distribution table for the given '
median
' ogive.
(i)
Rainfall (in mm)
13 - 23
24 - 34
35 - 45
46 - 56
57 - 67
68 - 78
No. of days
10
13
2
10
10
16
(ii)
Rainfall (in mm)
13 - 23
24 - 34
35 - 45
46 - 56
57 - 67
68 - 78
No. of days
10
13
6
13
10
16
(iii)
Rainfall (in mm)
13 - 23
24 - 34
35 - 45
46 - 56
57 - 67
68 - 78
No. of days
10
6
13
10
10
16
(iv)
Rainfall (in mm)
13 - 23
24 - 34
35 - 45
46 - 56
57 - 67
68 - 78
No. of days
10
16
6
10
10
13
(v)
Rainfall (in mm)
13 - 23
24 - 34
35 - 45
46 - 56
57 - 67
68 - 78
No. of days
10
13
6
10
10
16
Question
19
19.
Wages of 15 labourers are given below. Find the mean.
Wage (in rupees)
339
340
371
373
424
448
469
492
No. of labourers
4
2
2
2
1
1
1
2
(i)
₹
390.07
(ii)
₹
389.93
(iii)
₹
391.93
(iv)
₹
390.00
(v)
₹
390.93
Question
20
20.
Identify the cumulative frequency of the given grouped data.
class interval
18 - 27
27 - 36
36 - 45
45 - 54
54 - 63
63 - 72
72 - 81
frequency
10
12
9
21
10
23
14
(i)
class interval
Cumulative Frequency
18 - 27
10
27 - 36
24
36 - 45
33
45 - 54
54
54 - 63
64
63 - 72
87
72 - 81
99
(ii)
class interval
Cumulative Frequency
18 - 27
10
27 - 36
22
36 - 45
31
45 - 54
57
54 - 63
67
63 - 72
90
72 - 81
104
(iii)
class interval
Cumulative Frequency
18 - 27
10
27 - 36
22
36 - 45
33
45 - 54
54
54 - 63
64
63 - 72
87
72 - 81
101
(iv)
class interval
Cumulative Frequency
18 - 27
10
27 - 36
19
36 - 45
31
45 - 54
52
54 - 63
62
63 - 72
85
72 - 81
99
(v)
class interval
Cumulative Frequency
18 - 27
10
27 - 36
22
36 - 45
31
45 - 54
52
54 - 63
62
63 - 72
85
72 - 81
99
Question
21
21.
A frequency distribution table is given below.
Find the
mean .
Class-Interval
18 - 23
24 - 29
30 - 35
36 - 41
42 - 47
48 - 53
54 - 59
60 - 65
Frequency
2
46
19
24
16
12
3
20
(i)
5541
142
(ii)
5539
142
(iii)
2770
71
(iv)
5681
142
(v)
5823
142
Question
22
22.
Temperatures of 109 days (in °C) are given below.
Identify the frequency distribution table for the given '
more than
' ogive.
(i)
Temperature (in degree)
28 - 36
37 - 45
46 - 54
55 - 63
64 - 72
73 - 81
82 - 90
91 - 99
No. of days
18
13
17
11
10
17
5
18
(ii)
Temperature (in degree)
28 - 36
37 - 45
46 - 54
55 - 63
64 - 72
73 - 81
82 - 90
91 - 99
No. of days
18
13
13
17
10
17
5
18
(iii)
Temperature (in degree)
28 - 36
37 - 45
46 - 54
55 - 63
64 - 72
73 - 81
82 - 90
91 - 99
No. of days
18
18
11
17
10
17
5
13
(iv)
Temperature (in degree)
28 - 36
37 - 45
46 - 54
55 - 63
64 - 72
73 - 81
82 - 90
91 - 99
No. of days
18
13
11
17
6
17
5
18
(v)
Temperature (in degree)
28 - 36
37 - 45
46 - 54
55 - 63
64 - 72
73 - 81
82 - 90
91 - 99
No. of days
18
13
11
17
10
17
5
18
Question
23
23.
The daily wages of
111
workers in a factory are given below.
Find the
mode wage.
Wage (in rupees)
30 - 40
40 - 50
50 - 60
60 - 70
70 - 80
No. of workers
29
27
24
13
18
(i)
₹
41.35
(ii)
₹
39.42
(iii)
₹
39.39
(iv)
₹
40.35
(v)
₹
39.35
Question
24
24.
Following are the daily wages (in rupees) of labourers working in a factory. Identify the cumulative frequency of the given grouped data.
Wages (in rupees)
300 - 340
340 - 380
380 - 420
420 - 460
460 - 500
500 - 540
Labourers
15
13
3
10
14
15
(i)
Wages (in rupees)
Cumulative Frequency
300 - 340
15
340 - 380
28
380 - 420
31
420 - 460
41
460 - 500
55
500 - 540
70
(ii)
Wages (in rupees)
Cumulative Frequency
300 - 340
15
340 - 380
28
380 - 420
36
420 - 460
46
460 - 500
60
500 - 540
75
(iii)
Wages (in rupees)
Cumulative Frequency
300 - 340
15
340 - 380
18
380 - 420
31
420 - 460
41
460 - 500
55
500 - 540
70
(iv)
Wages (in rupees)
Cumulative Frequency
300 - 340
15
340 - 380
30
380 - 420
33
420 - 460
43
460 - 500
57
500 - 540
70
(v)
Wages (in rupees)
Cumulative Frequency
300 - 340
15
340 - 380
28
380 - 420
31
420 - 460
46
460 - 500
60
500 - 540
75
Question
25
25.
The following table shows the weights of
87
persons in a group.
Find the
median weight.
Weight (in kg)
30 - 38
39 - 47
48 - 56
57 - 65
66 - 74
75 - 83
84 - 92
93 - 101
No. of persons
8
10
15
13
7
16
10
8
(i)
829
13
kg
(ii)
831
13
kg
(iii)
855
13
kg
(iv)
830
13
kg
(v)
842
13
kg
Assignment Key
1) (ii)
2) (v)
3) (iii)
4) (v)
5) (i)
6) (ii)
7) (v)
8) (iii)
9) (iii)
10) (v)
11) (iii)
12) (i)
13) (iii)
14) (v)
15) (ii)
16) (ii)
17) (iii)
18) (v)
19) (ii)
20) (v)
21) (ii)
22) (v)
23) (v)
24) (i)
25) (i)
