EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Statistics
Grade : SSC Grade IX
License : Non Commercial Use
Question
1
1.
Given the mean of
10
samples as
4
4
5
,
what is the new mean if two samples
6
and
4
are added ?
(i)
9
2
(ii)
37
8
(iii)
31
6
(iv)
21
4
(v)
29
6
Question
2
2.
Given an even number of random samples with the middle two samples as
x +
16
and x +
31
and the median as
33
1
2
,
find the value of x.
(i)
10
(ii)
11
(iii)
13
(iv)
7
(v)
9
Question
3
3.
The marks obtained by 12 students in a test are given below. Find the mean of their marks when the marks of each student is doubled.
9
46
14
8
46
40
43
31
48
49
34
49
(i)
277
4
(ii)
139
2
(iii)
137
2
(iv)
70
(v)
141
2
Question
4
4.
Daily wages of 12 labourers (in ₹) are given below. Find the mode wage.
400
355
453
453
424
453
413
465
351
307
363
453
(i)
₹
455.00
(ii)
₹
452.00
(iii)
₹
453.00
(iv)
₹
451.00
(v)
₹
454.00
Question
5
5.
The weights (in gm) of
17
fruits are as follows.
Form the grouped frequency table
in exclusive form
by taking class size
40
.
313
337
270
275
347
315
275
335
298
336
303
307
377
205
383
324
288
(i)
Weight (in gm)
205 - 245
245 - 285
285 - 325
325 - 365
365 - 405
No. of Fruits
1
2
7
4
3
(ii)
Weight (in gm)
205 - 245
245 - 285
285 - 325
325 - 365
365 - 405
No. of Fruits
1
3
7
4
2
(iii)
Weight (in gm)
205 - 245
245 - 285
285 - 325
325 - 365
365 - 405
No. of Fruits
1
7
3
4
2
(iv)
Weight (in gm)
205 - 245
245 - 285
285 - 325
325 - 365
365 - 405
No. of Fruits
1
3
4
4
2
(v)
Weight (in gm)
205 - 245
245 - 285
285 - 325
325 - 365
365 - 405
No. of Fruits
1
7
7
4
2
Question
6
6.
Find the median of the first 15 even numbers.
(i)
15
(ii)
19
(iii)
14
(iv)
16
(v)
17
Question
7
7.
Rainfall of 15 days (in mm) are given below. Find the mode rainfall.
12
12
9
14
13
13
13
8
15
10
13
15
12
14
13
(i)
11
mm
(ii)
13
mm
(iii)
14
mm
(iv)
12
mm
(v)
15
mm
Question
8
8.
The marks obtained by
19
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
.
80
51
46
56
51
52
71
59
53
63
62
49
42
42
59
79
57
63
41
(i)
Marks
41 - 46
46 - 51
51 - 56
56 - 61
61 - 66
66 - 71
71 - 76
76 - 81
No. of Students
3
2
4
4
3
0
1
2
(ii)
Marks
41 - 46
46 - 51
51 - 56
56 - 61
61 - 66
66 - 71
71 - 76
76 - 81
No. of Students
3
2
4
4
8
0
1
2
(iii)
Marks
41 - 46
46 - 51
51 - 56
56 - 61
61 - 66
66 - 71
71 - 76
76 - 81
No. of Students
3
2
7
4
3
0
1
2
Question
9
9.
Ages of 10 students are given below. Find the median.
Age (in years)
10
11
12
13
14
No. of students
2
1
2
2
3
(i)
25
2
years
(ii)
27
2
years
(iii)
29
2
years
(iv)
13
years
Question
10
10.
If the lower and upper limit of class interval are 32 and 36 respectively, then the class interval is
(i)
32.5
-
35.5
(ii)
31.5
-
36.5
(iii)
32
-
36.5
(iv)
32
-
36
(v)
31.5
-
36
Question
11
11.
The following cumulative frequency table represents which of the following frequency distribution
Class-Interval
Cumulative Frequency
27 - 34
66
34 - 41
61
41 - 48
51
48 - 55
39
55 - 62
27
62 - 69
15
69 - 76
9
(i)
Class-Interval
27 - 34
34 - 41
41 - 48
48 - 55
55 - 62
62 - 69
69 - 76
Frequency
5
10
12
16
12
6
9
(ii)
Class-Interval
27 - 34
34 - 41
41 - 48
48 - 55
55 - 62
62 - 69
69 - 76
Frequency
5
9
12
12
12
6
10
(iii)
Class-Interval
27 - 34
34 - 41
41 - 48
48 - 55
55 - 62
62 - 69
69 - 76
Frequency
5
12
10
12
12
6
9
(iv)
Class-Interval
27 - 34
34 - 41
41 - 48
48 - 55
55 - 62
62 - 69
69 - 76
Frequency
5
10
12
12
12
6
9
(v)
Class-Interval
27 - 34
34 - 41
41 - 48
48 - 55
55 - 62
62 - 69
69 - 76
Frequency
5
10
8
12
12
6
9
Question
12
12.
Given class interval
17
-
24
in exclusive form, its
lower limit is
(i)
16
(ii)
18
(iii)
17
(iv)
19
(v)
15
Question
13
13.
Identify the class interval table for the given histogram.
(i)
Weight (in kg)
21 - 25
25 - 29
29 - 33
33 - 37
37 - 41
No. of students
22
20
16
22
6
(ii)
Weight (in kg)
21 - 25
25 - 29
29 - 33
33 - 37
37 - 41
No. of students
22
6
20
22
16
(iii)
Weight (in kg)
21 - 25
25 - 29
29 - 33
33 - 37
37 - 41
No. of students
22
16
23
22
6
(iv)
Weight (in kg)
21 - 25
25 - 29
29 - 33
33 - 37
37 - 41
No. of students
22
16
20
22
6
(v)
Weight (in kg)
21 - 25
25 - 29
29 - 33
33 - 37
37 - 41
No. of students
22
13
20
22
6
Question
14
14.
Temperatures of 21 days are given below. Find the mode.
Temperature (in degree C)
25
26
28
29
31
32
33
34
35
No. of days
6
2
2
1
3
2
2
2
1
(i)
23
°C
(ii)
25
°C
(iii)
27
°C
(iv)
24
°C
(v)
26
°C
Question
15
15.
The number of children in 18 families are given below. Identify the frequency distribution table for the given data.
3
5
0
1
0
2
3
2
5
3
1
5
4
2
2
3
0
5
(i)
No. of children
0
1
2
3
4
5
No. of families
3
4
2
2
6
1
(ii)
No. of children
0
1
2
3
4
5
No. of families
3
2
5
3
1
4
(iii)
No. of children
0
1
2
3
4
5
No. of families
3
4
3
3
2
3
(iv)
No. of children
0
1
2
3
4
5
No. of families
3
2
4
4
1
4
Question
16
16.
Wages of 21 labourers are given below. Find the mode.
Wage (in rupees)
314
353
355
361
391
437
487
No. of labourers
3
5
3
2
3
4
1
(i)
₹
351.00
(ii)
₹
355.00
(iii)
₹
354.00
(iv)
₹
352.00
(v)
₹
353.00
Question
17
17.
The mid value of the class with frequency x is
Class-Interval
Frequency
7 - 17
9
17 - 27
13
27 - 37
2
37 - 47
x
47 - 57
15
(i)
40
(ii)
41
(iii)
44
(iv)
43
(v)
42
Question
18
18.
Heights of 12 plants (in cm) are given below. Find the mean height.
88
95
86
89
90
99
97
54
60
70
77
93
(i)
167
2
cm
(ii)
505
6
cm
(iii)
499
6
cm
(iv)
511
6
cm
(v)
250
3
cm
Question
19
19.
Find the mean of first 7 whole numbers.
(i)
6
(ii)
3
(iii)
2
(iv)
0
(v)
4
Question
20
20.
Given the sample data, prepare the class interval table in
exclusive
form with
4
as min value and a class size of
9
.
4
43
24
44
29
38
44
38
48
30
37
36
18
10
8
34
6
21
42
(i)
Class-Interval
4 - 13
13 - 22
22 - 31
31 - 40
40 - 49
Frequency
4
2
3
5
5
(ii)
Class-Interval
4 - 13
13 - 22
22 - 31
31 - 40
40 - 49
Frequency
4
3
2
5
5
(iii)
Class-Interval
4 - 12
13 - 21
22 - 30
31 - 39
40 - 48
Frequency
4
2
3
5
5
(iv)
Class-Interval
4 - 13
13 - 22
22 - 31
31 - 40
40 - 49
Frequency
4
5
3
5
2
(v)
Class-Interval
4 - 13
13 - 22
22 - 31
31 - 40
40 - 49
Frequency
4
5
3
5
5
Question
21
21.
Ages of 14 students (in years) are given below. Find the mode age.
15
12
11
10
14
14
12
13
10
13
11
10
13
10
(i)
8
years
(ii)
9
years
(iii)
11
years
(iv)
12
years
(v)
10
years
Question
22
22.
Construct a frequency distribution table from the following cumulative frequency distribution
Class-Interval
Cumulative Frequency
33 - 42
6
43 - 52
16
53 - 62
27
63 - 72
41
73 - 82
46
83 - 92
56
93 - 102
64
(i)
Class-Interval
33 - 42
43 - 52
53 - 62
63 - 72
73 - 82
83 - 92
93 - 102
Frequency
6
10
11
14
5
10
8
(ii)
Class-Interval
33 - 42
43 - 52
53 - 62
63 - 72
73 - 82
83 - 92
93 - 102
Frequency
6
10
11
18
5
10
8
(iii)
Class-Interval
33 - 42
43 - 52
53 - 62
63 - 72
73 - 82
83 - 92
93 - 102
Frequency
6
11
10
14
5
10
8
(iv)
Class-Interval
33 - 42
43 - 52
53 - 62
63 - 72
73 - 82
83 - 92
93 - 102
Frequency
6
8
11
14
5
10
10
(v)
Class-Interval
33 - 42
43 - 52
53 - 62
63 - 72
73 - 82
83 - 92
93 - 102
Frequency
6
10
13
14
5
10
8
Question
23
23.
Wages of 15 labourers are given below. Find the mean.
Wage (in rupees)
321
341
343
360
414
440
No. of labourers
2
2
2
4
3
2
(i)
₹
371.60
(ii)
₹
371.53
(iii)
₹
371.47
(iv)
₹
372.47
(v)
₹
373.47
Question
24
24.
The arithmetic mean of
11
40
22
37
23
48
is
(i)
29.17
(ii)
32.17
(iii)
28.17
(iv)
31.17
(v)
30.17
Question
25
25.
Ages of 20 students are given below. Find the mean.
Age (in years)
10
11
12
13
14
15
No. of students
2
3
2
6
3
4
(i)
277
20
years
(ii)
257
20
years
(iii)
297
20
years
(iv)
129
10
years
(v)
259
20
years
Assignment Key
1) (v)
2) (i)
3) (ii)
4) (iii)
5) (ii)
6) (iv)
7) (ii)
8) (i)
9) (i)
10) (iv)
11) (iv)
12) (iii)
13) (iv)
14) (ii)
15) (iv)
16) (v)
17) (v)
18) (iii)
19) (ii)
20) (i)
21) (v)
22) (i)
23) (iii)
24) (v)
25) (ii)
