Download Holidays Homework(10+1) Economics 1 Calculate arithmetic mean

Holidays Homework(10+1)
Economics
1 Calculate arithmetic mean with the help of following data.Use direct method.
Wages :
20 25 30 40 42 50
Workers No. of : 4
6
10 5
5 1
2 Compute arithmetic mean by using short cut method.
Salaries: 50
55
60
70
85
Workers: 1
2
3
4
5
3 Calculate average marks of the following students using(a) direct method
Students
X : 5 15 25 35 45 55 65
Y : 5 12 15 25
8
3
2
4 Calculate arithmetic mean by short cut method from the following data by
direct, short cut and step deviation method.
Sales:
0-10 10-20
20-30 30-40 40-50
50-60
firms No. of: 12
18
27
20
17
6
5 Calculate mean from the following data using short cut method:
Marks : less than 10 less than 20 less than 30 less than 40 less than 50
Students No. of: 7
18
25
35
50
6 Calculate arithmetic mean by step deviation method.
Wages : more than 0 more than 2 more than 4 more than 6 more than 8
No. of Workers : 40
35
25
18
10
7 Find out the average pocket expences of the students of a class.
Pocket Expences:
20-29
30-39
40-49
50-59
No. of students :
20
10
6
4
8 Calculate missing value if mean of the series is 61.88
X:
64
63
?
61
60
Y:
8
18
12
9
7
9 Calculate weight mean if
X: 10
20
30
Y: 2
5
9
40
10
50
12
60-69
5
59
6
60
7
70
3
80
2
10 The mean height of 25 male workers in a factory is 61cm and the mean height
of 35 female Workers in the same factory is 58 cm. Find the combined mean
height of 60 workers in this factory.
11 Find out median from the following data.
130
185 170
900
615
345
12 Calculate median from the following data:
X: 10 20
30
40
50
f: 2
5
7
6
5
380
620
725
60
2
13 Calculate median from the following data:
C.I. 0-10
10-20
20-30 30-40 40-50
F : 10
15
30
38
25
50-60
12
60-70
10
70-80
10
14 Calculate median from following data:
C.I. : below 10 below 20 below30 below 40 below 50 below 60
C.F.:
20
30
40
60
90
100
15 Calculate the median from the following data.
Weight :
40-49
50-59
60-69
No. of cherries : 20
40
15
16 Calculate median from data given below:
X: below 100 100-200 200-300 300-400
F:
3
7
15
9
70-79
20
below 70
12
80-89
5
400-500 500 and above
5
5
17 Given that median marks are 23, find out missing frequency if total number
of students is 100
Marks:
0-10
10-20
20-30
30-40
40-50
No f students :
8
30
?
?
10
18 Calculate Q1, Q3, D7 and P85.
Sr No.
1
2
3
Marks 400
430
460
4
500
5
580
6
600
19 Find out Q1, Q3, D4 and P75 from the following data :
Variables : 12
13
14
15
16
Frequency: 2
3
9
21
11
7
650
17
13
8
720
20 Find modal item of the following data:
8 , 2, 5 , 2, 3, 5, 5, 6, 4, 5,3,5,2,5,7,1,6,7,5,5
21 From the following data, calculate mode.
Salary : 3000
4000
5000
6000
No. of:
3
5
10
19
Workers
7000
8
8000
4
22 Find the value of mode from the following data:
C. I.: 0-10 10-20 20-30
30-40 40-50 50-60
F : 10
8
22
21
19
20
60-70
5
70-80
10
23 Calculate mode of the following data using grouping method.
C.I: less than 15 less than 20 less than 25 less than 30 less than 35 less than
40 less than45
F:
4
11
27
39
48
50
55
24 Calculale mode of the following series:
C.I: 10-19
20-29 30-39
40-49
50-59
F: 8
6
20
50
20
25 Calculate median from the following data:
Mid –Values : 10
20
30
40
Frequency : 8
12
15
9
60-69
2
70-79
3
50
6
26 Find the value of mode if median of a series is 139.69 and its arithmetic mean
is 139.52.
27 Find the range and the coefficient from the data given below.
X:
5
15
25
35
40
F :
4
7
11
20
10
28 Find the range and its coefficient from the following data.
Wages : 20-29
30-39
40-49
50-59
60-69
Workers: 12
18
20
16
12
29 Find out inter quartile range,quartile deviation, and coefficient of quartile
deviation
18 , 20 , 19 , 25 , 11 , 9 , 23 , 37, 38 , 42
30. Calculate inter quartile range , quartile deviation and coefficient of quartile
deviation
X: 20
30
40
50
60
F:
4
8
9
6
4
31 Find out inter quartile range, quartile deviation and coefficient of quartile
deviation from the Following information.
Wages
:
0-10 10-20
20-30 30-40 40-50
50-60
No. of Workers : 10
5
5
10
5
15
32. Calculate mean deviation and its coefficient from the following data by using
mean and median.
X: 10
15
20
25
30
F: 4
6
8
10
12
33 Calculate Mean deviation and its coefficient using arithmetic mean and
median.
X : 5-15
15-25
25-35
35-45
45-55
F : 5
4
5
4
2
34 Calculate Standard Deviation by using direct and short cut method and its
coefficient from the following data.
X: 10
20
30
40
50
F: 2
4
3
7
4
35 Calculate Standard Deviation and its coefficient by using direct and short cut
method from the Following data.
Marks
: 0-10
10-20
20-30
30-40
40-50
No.of Students :
4
8
10
6
2
36 Using step deviation method , calculate standard deviation of the following
series;
X: 0-10 10-20 20-30 30-40
40-50 50-60 60-70
70-80
F: 5
10
20
40
30
20
10
4
37 Calculate coefficient of variation from the following data:
Variables : 10
20
30
40
50
60
Frequencies: 6
8
16
15
32
11
70
12
38 Estimate coefficient of variation of the following data:
Weight(kg):
0-20
20-40
40-60
60-80
No. of Persons: 81
40
66
49
39 Cal ulate Karl Pearso ’s oeffi ie t of orrelatio
X : 10
20
30
40
50
Y : 12
14
16
18
20
80-100
14
y a tual
40 Cal ulate Karl Pearso ’s oeffi ie t of orrelatio y dire t
X: 48
35
17
23
47
Y : 45
20
40
25
45
41 Cal ulate Karl Pearso ’s oeffi ie t of orrelatio fro
using short cut method
Exports: 26
28
34
35
37
Imports: 16
21
23
25
28
42 Cal ulate Karl Pearso ’s oeffi ie t of orrelatio
step deviation method.
X: 600
650
850
750
Y: 500
550
650
650
ea
ethod.
ethod.
the followi g data by
32
25
etwee X a d Y y usi g
700
500
43 Calculate coefficient of correlation :
Number of items (N)
Variance
Series X
10
16
Series Y
10
64
44 Calculate coefficient of rank correlation for the data given below.
X: 85
60
55
65
75
90
Y : 60
48
49
50
55
62
45 Calculate coefficient of rank correlation for series x and series Y.
X: 55
45
50
10
25
25
75
40
25
Y: 12
12
40
6
20
4
30
9
6
67
25
46 Calculate the Index number for the year 2008 on the basis of 1998 by
( i ) simple aggregative method
(ii) simple average of price relatives method
Commodities:
A
B
C
D
Base year Price:
10
15
20
25
Current Year Price :
25
60
45
50
47 Construct index numbers from the following data using
i Laspeyre’s ethod ii Paas he’s ethod iii Fisher’s ethod
Commodities
A
B
C
Price(Base Year)
4
2
2
Qty (Base Year)
20
4
10
Price(current year)
5
8
2
Qty(current Year )
15
5
12
48 Calculate weighted index number:
Commodities
Wheat
Weights
10
Price(base year)
20
Price(current year)
30
Rice
5
8
16
Milk
10
5
10
Oil
5
2
4
49 Construct consumer price index using
(i) Aggregative expenditure method (ii) Family budget method
Commodities:
A
B
C
D
Qty(base year):
10
20
30
10
Price(base year):
50
20
2
5
Price(current year): 70
25
3
5
50 Construct an index of industrial production the following data:
Industry:
A
B
C
Weights:
10
20
10
Qty(base year):
100
25
75
Qty(current year): 200
100
150
Learn Exercise questions of chapter-6,7,9,10,11,12 of Part-B
D
10
5
10
6
Pulses
5
4
6
E
20
3
3
D
30
40
50