EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Statistics
Grade : SSC Grade IX
License : Non Commercial Use
Question
1
1.
The following outcomes were noted when a dice was thrown 20 times. Identify the frequency distribution table for the given data.
4
3
4
4
4
2
5
1
3
6
3
6
2
4
3
3
3
1
6
3
(i)
Outcome
1
2
3
4
5
6
No. of outcomes
2
2
8
4
1
3
(ii)
Outcome
1
2
3
4
5
6
No. of outcomes
4
2
1
3
4
6
(iii)
Outcome
1
2
3
4
5
6
No. of outcomes
4
1
6
1
3
5
(iv)
Outcome
1
2
3
4
5
6
No. of outcomes
2
2
7
4
1
4
(v)
Outcome
1
2
3
4
5
6
No. of outcomes
2
2
7
5
1
3
Question
2
2.
The marks obtained by 15 students in a test are given below. Find their mean marks.
11
27
35
22
5
21
21
28
16
22
32
40
6
32
44
(i)
410
17
(ii)
314
13
(iii)
24
(iv)
364
15
(v)
362
15
Question
3
3.
The scores obtained by 10 students in a test are given below. Find the range.
17
14
11
6
17
17
12
2
10
16
(i)
2
(ii)
13
(iii)
12
1
5
(iv)
15
(v)
17
Question
4
4.
If some random sample data is arranged in a frequency distribution table in
inclusive form
with
9
-
15
as the first class,
then the observation
34
falls in which class?
(i)
30.5
-
35.5
(ii)
31
-
37
(iii)
29.5
-
36.5
(iv)
29
-
35
(v)
30
-
36
Question
5
5.
The marks obtained by 14 students in a test are given below. Find the mean of their marks when the marks of each student is doubled.
50
6
5
18
21
47
13
39
39
11
41
45
27
3
(i)
261
5
(ii)
365
7
(iii)
367
7
(iv)
363
7
(v)
469
9
Question
6
6.
The class boundaries of the class with frequency x is
Class-Interval
Frequency
19 - 24
27
25 - 30
7
31 - 36
8
37 - 42
1
43 - 48
x
(i)
42.5
-
48.5
(ii)
43
-
48
(iii)
42.5
-
49
(iv)
42
-
48.5
(v)
42
-
49
Question
7
7.
Daily wages of 15 labourers (in ₹) are given below. Find the mean wage.
337
397
406
413
331
344
494
441
355
437
425
311
321
335
377
(i)
₹
381.80
(ii)
₹
381.60
(iii)
₹
382.60
(iv)
₹
382.00
(v)
₹
383.60
Question
8
8.
Wages of 30 labourers are given below. Find the mean.
Wage (in rupees)
301
309
327
348
428
433
438
486
No. of labourers
4
6
1
5
2
4
3
5
(i)
₹
382.90
(ii)
₹
382.10
(iii)
₹
381.90
(iv)
₹
382.00
(v)
₹
383.90
Question
9
9.
Temperatures of 177 days (in °C) are given below.
Identify the class interval table for the given histogram.
(i)
Temperature (in degree)
32 - 40
40 - 48
48 - 56
56 - 64
64 - 72
72 - 80
80 - 88
No. of days
12
48
37
24
36
10
10
(ii)
Temperature (in degree)
32 - 40
40 - 48
48 - 56
56 - 64
64 - 72
72 - 80
80 - 88
No. of days
12
37
53
24
36
10
10
(iii)
Temperature (in degree)
32 - 40
40 - 48
48 - 56
56 - 64
64 - 72
72 - 80
80 - 88
No. of days
12
37
48
24
36
10
10
(iv)
Temperature (in degree)
32 - 40
40 - 48
48 - 56
56 - 64
64 - 72
72 - 80
80 - 88
No. of days
12
37
48
29
36
10
10
(v)
Temperature (in degree)
32 - 40
40 - 48
48 - 56
56 - 64
64 - 72
72 - 80
80 - 88
No. of days
12
10
48
24
36
10
37
Question
10
10.
Given class interval table, find the sum of frequencies.
Class-Interval
41 - 47
48 - 54
55 - 61
62 - 68
69 - 75
76 - 82
83 - 89
Frequency
13
10
9
16
24
16
17
(i)
107
(ii)
105
(iii)
106
(iv)
104
(v)
103
Question
11
11.
Given the sample data, prepare the class interval table in
exclusive
form with
1
as min value and a class size of
5
.
6
17
29
45
31
16
23
31
22
44
42
15
1
15
23
37
45
11
47
18
(i)
Class-Interval
1 - 5
6 - 10
11 - 15
16 - 20
21 - 25
26 - 30
31 - 35
36 - 40
41 - 45
46 - 50
Frequency
1
1
3
3
3
1
2
1
4
1
(ii)
Class-Interval
1 - 6
6 - 11
11 - 16
16 - 21
21 - 26
26 - 31
31 - 36
36 - 41
41 - 46
46 - 51
Frequency
1
1
3
3
3
1
2
1
4
1
(iii)
Class-Interval
1 - 6
6 - 11
11 - 16
16 - 21
21 - 26
26 - 31
31 - 36
36 - 41
41 - 46
46 - 51
Frequency
1
3
1
3
3
1
2
1
4
1
(iv)
Class-Interval
1 - 6
6 - 11
11 - 16
16 - 21
21 - 26
26 - 31
31 - 36
36 - 41
41 - 46
46 - 51
Frequency
1
1
3
7
3
1
2
1
4
1
Question
12
12.
Daily wages of 204 labourers (in ₹) are given below.
Identify the class interval table for the given histogram.
(i)
Daily wage (in Rs)
251 - 259
260 - 268
269 - 277
278 - 286
287 - 295
296 - 304
305 - 313
No. of labourers
36
45
30
6
26
11
46
(ii)
Daily wage (in Rs)
251 - 259
260 - 268
269 - 277
278 - 286
287 - 295
296 - 304
305 - 313
No. of labourers
36
45
34
1
26
11
46
(iii)
Daily wage (in Rs)
251 - 259
260 - 268
269 - 277
278 - 286
287 - 295
296 - 304
305 - 313
No. of labourers
36
46
34
6
26
11
45
(iv)
Daily wage (in Rs)
251 - 259
260 - 268
269 - 277
278 - 286
287 - 295
296 - 304
305 - 313
No. of labourers
36
34
45
6
26
11
46
(v)
Daily wage (in Rs)
251 - 259
260 - 268
269 - 277
278 - 286
287 - 295
296 - 304
305 - 313
No. of labourers
36
45
34
6
26
11
46
Question
13
13.
The arithmetic mean of a + 2, a, and a - 2 is
(i)
a - 2
(ii)
3a
(iii)
a
(iv)
a + 2
Question
14
14.
The marks obtained by 16 students in a test are given below. Find their mode marks.
9
38
29
19
8
34
5
33
26
19
44
19
14
46
49
22
(i)
19
(ii)
20
(iii)
22
(iv)
18
(v)
17
Question
15
15.
Ages of 194 students (in years) are given below.
Identify the class interval table for the given histogram.
(i)
Age (in years)
18 - 24
24 - 30
30 - 36
36 - 42
42 - 48
48 - 54
No. of students
28
22
49
43
30
24
(ii)
Age (in years)
18 - 24
24 - 30
30 - 36
36 - 42
42 - 48
48 - 54
No. of students
28
22
47
43
30
24
(iii)
Age (in years)
18 - 24
24 - 30
30 - 36
36 - 42
42 - 48
48 - 54
No. of students
28
24
47
43
30
22
(iv)
Age (in years)
18 - 24
24 - 30
30 - 36
36 - 42
42 - 48
48 - 54
No. of students
28
22
47
40
30
24
(v)
Age (in years)
18 - 24
24 - 30
30 - 36
36 - 42
42 - 48
48 - 54
No. of students
28
47
22
43
30
24
Question
16
16.
Ages of 206 students (in years) are given below.
Identify the class interval table for the given histogram.
(i)
Age (in years)
14 - 24
25 - 35
36 - 46
47 - 57
58 - 68
69 - 79
80 - 90
91 - 101
No. of students
27
6
20
46
34
11
40
22
(ii)
Age (in years)
14 - 24
25 - 35
36 - 46
47 - 57
58 - 68
69 - 79
80 - 90
91 - 101
No. of students
27
22
46
20
34
11
40
6
(iii)
Age (in years)
14 - 24
25 - 35
36 - 46
47 - 57
58 - 68
69 - 79
80 - 90
91 - 101
No. of students
27
6
48
20
34
11
40
22
(iv)
Age (in years)
14 - 24
25 - 35
36 - 46
47 - 57
58 - 68
69 - 79
80 - 90
91 - 101
No. of students
27
6
46
20
34
11
40
22
(v)
Age (in years)
14 - 24
25 - 35
36 - 46
47 - 57
58 - 68
69 - 79
80 - 90
91 - 101
No. of students
27
6
46
20
32
11
40
22
Question
17
17.
The mean of the below random sample is
34
3
10
.
Find the missing quantity.
x
39
26
42
15
29
18
50
41
42
(i)
39
(ii)
42
(iii)
43
(iv)
40
(v)
41
Question
18
18.
The true lower limit and true upper limit of the class with frequency x is
Class-Interval
Frequency
22 - 27
19
28 - 33
8
34 - 39
23
40 - 45
x
46 - 51
20
(i)
39
-
45.5
(ii)
39
-
46
(iii)
39.5
-
46
(iv)
39.5
-
45.5
(v)
40
-
45
Question
19
19.
Rainfall of 15 days (in mm) are given below. Find the mode rainfall.
12
9
6
11
8
14
13
7
6
5
11
5
6
6
6
(i)
4
mm
(ii)
7
mm
(iii)
5
mm
(iv)
8
mm
(v)
6
mm
Question
20
20.
The following cumulative frequency table represents which of the following frequency distribution
Class-Interval
Cumulative Frequency
22 - 30
67
30 - 38
53
38 - 46
42
46 - 54
29
54 - 62
14
62 - 70
9
(i)
Class-Interval
22 - 30
30 - 38
38 - 46
46 - 54
54 - 62
62 - 70
Frequency
14
11
13
12
5
9
(ii)
Class-Interval
22 - 30
30 - 38
38 - 46
46 - 54
54 - 62
62 - 70
Frequency
14
9
13
15
5
11
(iii)
Class-Interval
22 - 30
30 - 38
38 - 46
46 - 54
54 - 62
62 - 70
Frequency
14
11
9
15
5
9
(iv)
Class-Interval
22 - 30
30 - 38
38 - 46
46 - 54
54 - 62
62 - 70
Frequency
14
13
11
15
5
9
(v)
Class-Interval
22 - 30
30 - 38
38 - 46
46 - 54
54 - 62
62 - 70
Frequency
14
11
13
15
5
9
Question
21
21.
The scores obtained by 7 students in a test are given below. Find the mode.
9
1
8
5
1
11
10
(i)
8
1
2
(ii)
1
(iii)
7
1
3
(iv)
11
(v)
10
Question
22
22.
The mean of
5
numbers is
8
1
5
.
Upon
excluding
one number,
the mean becomes
6
3
4
.
Find the
excluded
number.
(i)
16
(ii)
13
(iii)
14
(iv)
15
(v)
11
Question
23
23.
In inclusive form representation, the observation
25
falls in which class?
(i)
10
-
20
(ii)
26
-
35
(iii)
15
-
25
(iv)
14
-
24
(v)
5
-
15
Question
24
24.
Wages of 30 labourers are given below. Find the median.
Wage (in rupees)
338
348
373
402
461
470
479
No. of labourers
3
3
7
4
2
4
7
(i)
₹
404.00
(ii)
₹
400.00
(iii)
₹
403.00
(iv)
₹
401.00
(v)
₹
402.00
Question
25
25.
Which of the following are discrete variables?
a)
Temperature at a place over a month
b)
Population of cities
c)
Weights of persons in a group
d)
Wages of workers in a factory
e)
Number of members in a family
(i)
{b,e}
(ii)
{c,e}
(iii)
{c,e,b}
(iv)
{a,b}
(v)
{d,a,b}
Assignment Key
1) (v)
2) (v)
3) (iv)
4) (v)
5) (ii)
6) (i)
7) (ii)
8) (iii)
9) (iii)
10) (ii)
11) (ii)
12) (v)
13) (iii)
14) (i)
15) (ii)
16) (iv)
17) (v)
18) (iv)
19) (v)
20) (v)
21) (ii)
22) (iii)
23) (iii)
24) (v)
25) (i)
