The statistical methods of the Coefficient of variation, regarding the EU Agricultural Incomes 2019

1. Statistical Method C1
ZmDEB 1/II
CV(COEFFICIENTOFVARIATION)
OFAGRICULTURALINCOMES
INEUROPEANUNION2019
Akharapon Thanyagaset 37655

2. OUTLINE
The presentation will be included…
• Introduction of the performance of the agricultural sector in
European Union 2019
• The calculation of…
• Minimum and Maximum Values.
• Mean (Average, Median, Mode).
• Quartiles.
• IQR of sample data.
• The CV of sample data.
• The conclusions.
2

3. Value of agricultural output
• Agriculture is an activity that falls within the
primary sector of the economy, which is
concerned with the extraction or harvesting of
products from the earth. In an accounting context,
an industry is a branch of economic activity.
"
Agriculture contributed 1.1 % to the EU's GDP in 2018
The agricultural industry created an estimated added value
of EUR 181.7 billion in 2018
3
THEAGRICULTURAL SECTOR IN EU 2019

4. Three indicators are computed in relation to
agricultural income:
•Indicator A : an index of real income of factors in
agricultural activity per AWU (Annual Work Unit)
•Indicator B: an index of real net agricultural
entrepreneurial income, per unpaid AWU.
•Indicator C: and the net entrepreneurial income of
agriculture.
AGRICULTURAL INCOME
The information presented on agricultural income relates to
indicator A (the real income of factors in agriculture per AWU).
This indicator corresponds to the real (deflated) net value
added at factor cost of agriculture per AWU and is expressed
as an index.

5. ECONOMICACCOUNTSFORAGRICULTURE-
AGRICULTURALINCOME(INDICATORSA)
5
Time frequency: Annual 2019
Indicator A: Index of the real income of
factors in agriculture per
annual work unit.
Index unit : 2010=100
(based year is 2010)
Source of Data : Eurostat
Online data code : AACT_EAA06
Country Time
GEO (Labels) Year 2019
Malta 82.86
Belgium 89.88
Finland 90.36
Austria 94.69
Netherlands 95.73
Greece 106.74
Sweden 107.03
Estonia 108.91
Luxembourg 111.93
France 115.99
Germany 117.51
Slovenia 120.16
Cyprus 121.64
Spain 127.94
Croatia 132.33
Denmark 134.85
Ireland 135.49
Lithuania 138.40
Portugal 138.82
Romania 139.79
Poland 139.92
Italy 141.03
Czechia 150.93
Latvia 166.22
Hungary 183.06
Slovakia 189.13
Bulgaria 253.16
Reference: https://ec.europa.eu/eurostat/statistics-
explained/index.php/Performance_of_the_agricultural_sector#Resource_performance_of_the_agricultural_sector

6. ECONOMICACCOUNTSFORAGRICULTURE-
AGRICULTURALINCOME(INDICATORA)
27COUNTRIES.
6
82.86
89.88
90.36
94.69
95.73
106.74
107.03
108.91
111.93
115.99
117.51
120.16
121.64
127.94
132.33
134.85
135.49
138.40
138.82
139.79
139.92
141.03
150.93
166.22
183.06
189.13
253.16
0.00 50.00 100.00 150.00 200.00 250.00 300.00
Malta
Belgium
Finland
Austria
Netherlands
Greece
Sweden
Estonia
Luxembourg
France
Germany
Slovenia
Cyprus
Spain
Croatia
Denmark
Ireland
Lithuania
Portugal
Romania
Poland
Italy
Czechia
Latvia
Hungary
Slovakia
Bulgaria

7. 7
The Minimum Value of the agricultural income
= 82.86
= Malta
The Maximum Value of the agricultural income
=253.16
=Bulgaria
Country Time
GEO (Labels) Year 2019
Malta 82.86
Belgium 89.88
Finland 90.36
Austria 94.69
Netherlands 95.73
Greece 106.74
Sweden 107.03
Estonia 108.91
Luxembourg 111.93
France 115.99
Germany 117.51
Slovenia 120.16
Cyprus 121.64
Spain 127.94
Croatia 132.33
Denmark 134.85
Ireland 135.49
Lithuania 138.40
Portugal 138.82
Romania 139.79
Poland 139.92
Italy 141.03
Czechia 150.93
Latvia 166.22
Hungary 183.06
Slovakia 189.13
Bulgaria 253.16
THEMINIMUMANDMAXIMUMVALUES.

8. 8
The Average of the farm income value, n=27
= (sum of the value)/27
= 130.91
The Median of the farm income value.
= 127.94
= Spain
The Mode of the farm income value.
= N/A, because the value of income in each countries is
unique.
THEMEANVALUES.
0 50 100 150 200 250 300
Malta
Belgium
Finland
Austria
Netherlands
Greece
Sweden
Estonia
Luxembourg
France
Germany
Slovenia
Cyprus
Spain
Croatia
Denmark
Ireland
Lithuania
Portugal
Romania
Poland
Italy
Czechia
Latvia
Hungary
Slovakia
Bulgaria
The EU Farm Income Value Year 2019

9. 9
The Quartile of the farm income value.
Quartile 1 = 1(27+1)/4 = 7 (position)
= 107.03
Country Time
GEO (Labels) Year 2019
Malta 82.86
Belgium 89.88
Finland 90.36
Austria 94.69
Netherlands 95.73
Greece 106.74
Sweden 107.03
Estonia 108.91
Luxembourg 111.93
France 115.99
Germany 117.51
Slovenia 120.16
Cyprus 121.64
Spain 127.94
Croatia 132.33
Denmark 134.85
Ireland 135.49
Lithuania 138.40
Portugal 138.82
Romania 139.79
Poland 139.92
Italy 141.03
Czechia 150.93
Latvia 166.22
Hungary 183.06
Slovakia 189.13
Bulgaria 253.16
Quartile 2 = 2(27+1)/4 = 14 (position)
= 127.94
= Median
Quartile 3 = 3(27+1)/4 = 21 (position)
= 139.92
THEQUARTILEVALUES.

10. 10
The Interquartile Range (IQR)
IQR = Quartile 3–Quartile 1
= 139.92–107.03
= 32.89
Country Time
GEO (Labels) Year 2019
Malta 82.86
Belgium 89.88
Finland 90.36
Austria 94.69
Netherlands 95.73
Greece 106.74
Sweden 107.03
Estonia 108.91
Luxembourg 111.93
France 115.99
Germany 117.51
Slovenia 120.16
Cyprus 121.64
Spain 127.94
Croatia 132.33
Denmark 134.85
Ireland 135.49
Lithuania 138.40
Portugal 138.82
Romania 139.79
Poland 139.92
Italy 141.03
Czechia 150.93
Latvia 166.22
Hungary 183.06
Slovakia 189.13
The Lower Bound
= Q1-(1.5*IQR)
= 107.03-(1.5*32.89)
= 57.70
The Upper Bound
= Q3+(1.5*IQR)
= 139.92+(1.5*32.89)
= 189.26
Range = [L-bound, U-bound]
= [57.70, 189.26]
The data which is out of the range will be
the outlier.
Potential Outlier
FALSE
FALSE
FALSE
FALSE
FALSE
FALSE
FALSE
FALSE
FALSE
FALSE
FALSE
FALSE
FALSE
FALSE
FALSE
FALSE
FALSE
FALSE
FALSE
FALSE
FALSE
FALSE
FALSE
FALSE
FALSE
FALSE

11. BOXPLOTCHARTFORTHE
FARMINCOMEOFEU2019
11
1
0.00
50.00
100.00
150.00
200.00
250.00
300.00
0.00
50.00
100.00
150.00
200.00
250.00
300.00
0 5 10 15 20 25 30
SCATTERCHARTFORTHEFARM
INCOMEOFEU2019

12. 12
The Average of the farm income value,
n=27
= (sum of the value)/27
𝑋 = 130.91
Country Time
GEO (Labels) Year 2019
Malta 82.86
Belgium 89.88
Finland 90.36
Austria 94.69
Netherlands 95.73
Greece 106.74
Sweden 107.03
Estonia 108.91
Luxembourg 111.93
France 115.99
Germany 117.51
Slovenia 120.16
Cyprus 121.64
Spain 127.94
Croatia 132.33
Denmark 134.85
Ireland 135.49
Lithuania 138.40
Portugal 138.82
Romania 139.79
Poland 139.92
Italy 141.03
Czechia 150.93
Latvia 166.22
Hungary 183.06
Slovakia 189.13
Bulgaria 253.16
The Variance of Sample
𝑺𝟐 = 1304.57
The Standard Deviation
S.D. = 1304.57
= 36.12
The Coefficient of Variation (sample)
CV = S/ 𝑋
= 36.12/130.91
= 0.28
THECOEFFICIENTOFVARIATION.

13. 13
THE CONCLUSIONS.
From the calculation of the EU’s agricultural income in 2019
(with the index unit 2010=100), it’s showing that...
130.91
The avarage of agricutural income in 2019 is
It is 30.91% higher than the income in 2010.
82.86, Malta
The country with the least agricultural income earning.
(17.14% less than the income in 2010)
253.16, Bulgaria
The country with the most agricultural income earning.
(153.16% higher than the income in 2010), and could be
considered as the only outlier of the data set as well.
36.12
The standard deviation of the data set,
which represents how the each of income value is
averagely spreading out from the average of income.
0.28 (28%)
The Coefficient Variation of the data set , which
means that the variation of the data set can be considered
as low variance (CV<1) or low risk in investment term.