Question
Explain market equilibrium when the number of firms happens to increase or decrease in the market and only normal profits are earned.

Answer

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Find out the arithmetic mean using the step deviation method.
Item
Frequency
More than 0
28
More than 10
24
More than 20
14
More than 30
4
Hint: In the above problem, cumulative frequencies are given. Firstly, it will be changed into exclusive class interval and thereafter we will calculate arithmetic mean using the step deviation method.
The mean of the given distribution is ₹ 425. Find the missing frequency.
Wages (₹)
Number of Workers
100-200
12
200-300
8
300-400
20
400-500
32
500-600
x
600-700
8
700-800
5
Calculate coefficient of correlation from the following data and interpret the result:
No. of years of schooling of farmers $0$ $2$ $4$ $6$ $8$ $10$ $12$
Annual yield per acre in $‘000 (₹)$ $4$ $4$ $6$ $10$ $10$ $8$ $7$
The yield of wheat and rice per acre for 10 districts of a state is as under:
District
1
2
3
4
5
6
7
8
9
10
Wheat
12
10
15
19
21
16
18
9
25
10
Rice
22
29
12
23
18
15
12
34
18
12
Calculate for crop.
Mean deviation about Mean.
Define statistical average. Discuss the properties that an ideal statistical average should possess.
Convert the following inclusive series into exclusive series:
C.I.
1-5
6-10
11-15
16-20
21-25
No.of Workers
10
15
20
25
30
What guidelines will you keep in mind while constructing a diagram?
Construct a frequency polygon without using histogram for the following data.
Wages (in ₹)
Number of Workers (f)
0-10
10
10-20
18
20-30
35
30-40
30
40-50
20
50-60
12
60-70
8
70-80
3
'Despite certain shortcomings, range is widely used due to its simplicity'. In the context of given statement, state merits and demerits of range as a measure of dispersion.
A batsman is to be selected for a cricket team. The choice is between X and Y on the basis of their scores in five previous tests which are:
X
25
85
40
80
120
Y
50
70
65
45
80
Which batsman should be selected if we want,
  1. A higher run getter.
  2. A more reliable batsman in the team?