EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Statistics
Grade : CBSE Grade IX
License : Non Commercial Use
Question
1
1.
Weights of 10 students are given below. Find the median.
Weight (in kg)
40
42
45
51
53
55
No. of students
1
2
2
2
2
1
(i)
46
kg
(ii)
49
kg
(iii)
50
kg
(iv)
47
kg
(v)
48
kg
Question
2
2.
Weights of 11 students (in kg) are given below. Find the mode weight.
42
44
49
45
55
58
49
56
51
43
49
(i)
51
kg
(ii)
47
kg
(iii)
50
kg
(iv)
49
kg
(v)
48
kg
Question
3
3.
Given class interval table, find the sum of frequencies.
Class-Interval
42 - 51
51 - 60
60 - 69
69 - 78
78 - 87
87 - 96
96 - 105
105 - 114
Frequency
26
1
2
3
12
11
8
8
(i)
74
(ii)
68
(iii)
71
(iv)
70
(v)
72
Question
4
4.
The daily wages (in rupees) of
18
workers in a factory are given below.
Represent the data in the form of a frequency distribution
in exclusive form
taking class size
20
.
293
234
287
276
256
252
204
265
205
245
267
210
243
219
292
262
289
281
(i)
Wages (in rupees)
204 - 224
224 - 244
244 - 264
264 - 284
284 - 304
No. of Workers
4
2
6
4
4
(ii)
Wages (in rupees)
204 - 224
224 - 244
244 - 264
264 - 284
284 - 304
No. of Workers
4
4
4
4
2
(iii)
Wages (in rupees)
204 - 224
224 - 244
244 - 264
264 - 284
284 - 304
No. of Workers
4
7
4
4
4
(iv)
Wages (in rupees)
204 - 224
224 - 244
244 - 264
264 - 284
284 - 304
No. of Workers
4
2
4
4
4
(v)
Wages (in rupees)
204 - 224
224 - 244
244 - 264
264 - 284
284 - 304
No. of Workers
4
4
2
4
4
Question
5
5.
Find the median of all prime numbers between 30 and 70.
(i)
48
(ii)
44
(iii)
47
(iv)
49
(v)
46
Question
6
6.
Identify the class interval table for the given histogram.
(i)
Class-Interval
129 - 134
135 - 140
141 - 146
147 - 152
153 - 158
159 - 164
165 - 170
Frequency
96
106
62
78
75
143
99
(ii)
Class-Interval
129 - 134
135 - 140
141 - 146
147 - 152
153 - 158
159 - 164
165 - 170
Frequency
96
106
67
78
75
143
99
(iii)
Class-Interval
129 - 134
135 - 140
141 - 146
147 - 152
153 - 158
159 - 164
165 - 170
Frequency
96
106
67
81
75
143
99
(iv)
Class-Interval
129 - 134
135 - 140
141 - 146
147 - 152
153 - 158
159 - 164
165 - 170
Frequency
96
67
106
78
75
143
99
(v)
Class-Interval
129 - 134
135 - 140
141 - 146
147 - 152
153 - 158
159 - 164
165 - 170
Frequency
96
99
67
78
75
143
106
Question
7
7.
If the lower and upper limit of class interval are 46 and 49 respectively, then the class interval is
(i)
45.5
-
49
(ii)
46.5
-
48.5
(iii)
46
-
49.5
(iv)
45.5
-
49.5
(v)
46
-
49
Question
8
8.
The weights (in gm) of
15
fruits are as follows.
Form the grouped frequency table
in exclusive form
by taking class size
40
.
346
278
382
357
304
225
294
383
334
335
209
279
264
222
398
(i)
Weight (in gm)
209 - 249
249 - 289
289 - 329
329 - 369
369 - 409
No. of Fruits
3
7
2
4
3
(ii)
Weight (in gm)
209 - 249
249 - 289
289 - 329
329 - 369
369 - 409
No. of Fruits
3
3
7
4
3
(iii)
Weight (in gm)
209 - 249
249 - 289
289 - 329
329 - 369
369 - 409
No. of Fruits
3
3
2
4
3
(iv)
Weight (in gm)
209 - 249
249 - 289
289 - 329
329 - 369
369 - 409
No. of Fruits
3
2
3
4
3
Question
9
9.
Convert the continuous form of the class interval 11.5 - 18.5 to discontinuous form
(i)
12
-
18.5
(ii)
12.5
-
17.5
(iii)
12
-
18
(iv)
11.5
-
18
(v)
11.5
-
18.5
Question
10
10.
The class size used in the below table is
Class-Interval
50 - 58
58 - 66
66 - 74
74 - 82
82 - 90
90 - 98
98 - 106
106 - 114
Frequency
1
8
19
17
27
9
4
6
(i)
9
(ii)
8
(iii)
5
(iv)
11
(v)
7
Question
11
11.
Which of the following tables represent the given histogram with varying base widths
(i)
Age (in years)
19 - 29
29 - 39
39 - 49
49 - 59
59 - 69
69 - 109
No. of students
11
8
15
7
8
12
(ii)
Age (in years)
19 - 29
29 - 39
39 - 49
49 - 59
59 - 69
69 - 109
No. of students
11
8
18
7
8
12
(iii)
Age (in years)
19 - 29
29 - 39
39 - 49
49 - 59
59 - 69
69 - 109
No. of students
11
8
15
4
8
3
(iv)
Age (in years)
19 - 29
29 - 39
39 - 49
49 - 59
59 - 69
69 - 109
No. of students
11
8
15
5
8
12
(v)
Age (in years)
19 - 29
29 - 39
39 - 49
49 - 59
59 - 69
69 - 109
No. of students
11
8
15
7
8
3
Question
12
12.
Given class interval
20
-
29
in exclusive form, its
class size is
(i)
9
(ii)
12
(iii)
7
(iv)
8
(v)
10
Question
13
13.
Ages of 131 students (in years) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Age (in years)
17 - 25
26 - 34
35 - 43
44 - 52
53 - 61
62 - 70
No. of students
46
11
10
7
16
41
(ii)
Age (in years)
17 - 25
26 - 34
35 - 43
44 - 52
53 - 61
62 - 70
No. of students
46
10
41
7
16
11
(iii)
Age (in years)
17 - 25
26 - 34
35 - 43
44 - 52
53 - 61
62 - 70
No. of students
46
41
10
7
16
11
(iv)
Age (in years)
17 - 25
26 - 34
35 - 43
44 - 52
53 - 61
62 - 70
No. of students
46
41
10
4
16
11
(v)
Age (in years)
17 - 25
26 - 34
35 - 43
44 - 52
53 - 61
62 - 70
No. of students
46
41
13
7
16
11
Question
14
14.
Daily wages of 146 labourers (in ₹) are given below.
Identify the class interval table for the given histogram.
(i)
Daily wage (in Rs)
218 - 225
225 - 232
232 - 239
239 - 246
246 - 253
No. of labourers
27
35
35
22
27
(ii)
Daily wage (in Rs)
218 - 225
225 - 232
232 - 239
239 - 246
246 - 253
No. of labourers
27
35
27
22
35
(iii)
Daily wage (in Rs)
218 - 225
225 - 232
232 - 239
239 - 246
246 - 253
No. of labourers
27
25
35
22
35
(iv)
Daily wage (in Rs)
218 - 225
225 - 232
232 - 239
239 - 246
246 - 253
No. of labourers
27
27
35
22
35
(v)
Daily wage (in Rs)
218 - 225
225 - 232
232 - 239
239 - 246
246 - 253
No. of labourers
27
27
33
22
35
Question
15
15.
The marks obtained by
17
students in an examination are given below.
Represent the data in the form of a frequency distribution table
in exclusive form
taking class size
5
.
55
50
61
72
75
78
47
61
80
60
54
55
46
64
51
46
66
(i)
Marks
46 - 51
51 - 56
56 - 61
61 - 66
66 - 71
71 - 76
76 - 81
No. of Students
4
2
1
3
1
2
4
(ii)
Marks
46 - 51
51 - 56
56 - 61
61 - 66
66 - 71
71 - 76
76 - 81
No. of Students
4
4
1
6
1
2
2
(iii)
Marks
46 - 51
51 - 56
56 - 61
61 - 66
66 - 71
71 - 76
76 - 81
No. of Students
4
4
1
3
1
2
2
(iv)
Marks
46 - 51
51 - 56
56 - 61
61 - 66
66 - 71
71 - 76
76 - 81
No. of Students
4
1
4
3
1
2
2
(v)
Marks
46 - 51
51 - 56
56 - 61
61 - 66
66 - 71
71 - 76
76 - 81
No. of Students
4
4
5
3
1
2
2
Question
16
16.
Heights of 16 plants (in cm) are given below. Find the mode height.
60
55
56
90
98
63
69
51
95
63
85
70
54
64
71
63
(i)
63
cm
(ii)
62
cm
(iii)
61
cm
(iv)
64
cm
(v)
65
cm
Question
17
17.
In a histogram
(i)
the lengths of all rectangles are equal
(ii)
the length and width of each rectangle are in proportion
(iii)
the lengths and widths of all rectangles are equal
(iv)
the width of all rectangles are equal
Question
18
18.
Find the mean of the first 10 odd numbers.
(i)
8
(ii)
11
(iii)
9
(iv)
12
(v)
10
Question
19
19.
Heights of 20 plants are given below. Find the mean.
Height (in cm)
55
61
69
73
92
96
97
99
No. of plants
2
2
3
3
2
1
2
5
(i)
1629
20
cm
(ii)
1647
20
cm
(iii)
407
5
cm
(iv)
1667
20
cm
(v)
1627
20
cm
Question
20
20.
Scores of 211 students are given below.
Identify the class interval table for the given histogram.
(i)
Score
72 - 78
79 - 85
86 - 92
93 - 99
100 - 106
107 - 113
114 - 120
No. of students
7
48
45
22
25
48
16
(ii)
Score
72 - 78
79 - 85
86 - 92
93 - 99
100 - 106
107 - 113
114 - 120
No. of students
7
45
48
22
25
48
16
(iii)
Score
72 - 78
79 - 85
86 - 92
93 - 99
100 - 106
107 - 113
114 - 120
No. of students
7
16
45
22
25
48
48
(iv)
Score
72 - 78
79 - 85
86 - 92
93 - 99
100 - 106
107 - 113
114 - 120
No. of students
7
48
47
22
25
48
16
(v)
Score
72 - 78
79 - 85
86 - 92
93 - 99
100 - 106
107 - 113
114 - 120
No. of students
7
48
45
18
25
48
16
Question
21
21.
Temperatures of 213 days (in °C) are given below.
Identify the class interval table for the given histogram.
(i)
Temperature (in degree)
34 - 41
41 - 48
48 - 55
55 - 62
62 - 69
69 - 76
No. of days
12
38
50
49
36
28
(ii)
Temperature (in degree)
34 - 41
41 - 48
48 - 55
55 - 62
62 - 69
69 - 76
No. of days
12
50
38
49
36
28
(iii)
Temperature (in degree)
34 - 41
41 - 48
48 - 55
55 - 62
62 - 69
69 - 76
No. of days
12
50
38
51
36
28
(iv)
Temperature (in degree)
34 - 41
41 - 48
48 - 55
55 - 62
62 - 69
69 - 76
No. of days
12
50
41
49
36
28
(v)
Temperature (in degree)
34 - 41
41 - 48
48 - 55
55 - 62
62 - 69
69 - 76
No. of days
12
28
38
49
36
50
Question
22
22.
Temperatures of 14 days (in °C) are given below. Find the mode temperature.
31
27
25
25
35
31
28
34
34
27
31
27
27
27
(i)
28
°C
(ii)
27
°C
(iii)
26
°C
(iv)
29
°C
(v)
25
°C
Question
23
23.
Following bar graph gives the average temperature of a place during a week. Find the day that has maximum temperature.
(i)
Thurs.
(ii)
Mon.
(iii)
Sat.
(iv)
Sun.
(v)
Tues.
Question
24
24.
Given the mean of
12
samples as
5
3
4
,
what is the new mean if two samples
3
and
8
are removed ?
(i)
39
7
(ii)
19
3
(iii)
27
5
(iv)
31
5
(v)
29
5
Question
25
25.
Read the column-graph given below. Find the year that has minimum food grains production.
(i)
2011
(ii)
2010
(iii)
2007
(iv)
2009
(v)
2008
Assignment Key
1) (v)
2) (iv)
3) (iii)
4) (iv)
5) (iii)
6) (ii)
7) (v)
8) (iii)
9) (iii)
10) (ii)
11) (i)
12) (i)
13) (iii)
14) (iv)
15) (iii)
16) (i)
17) (iv)
18) (v)
19) (v)
20) (i)
21) (ii)
22) (ii)
23) (iv)
24) (v)
25) (ii)
