One of the most important things that we observe and apply in our day to day activities is statistics which itself is both science and art as well. When doing a study on “Comparative Statistical Analysis on PRAN Foods Limited and Akij Foods and Beverage Limited on Customer Satisfaction in the University Area”, we have used many of statistical techniques like mean, median, mode, 1st quartile, 3rd quartile, standard deviation, mean deviation, coefficient of variation Pearson’s coefficient of skewness, software coefficient of skewness, coefficient of correlation, coefficient of determination, and regression analysis. The main objective of this study is to find out whether PRAN Foods Limited or Akij Foods and Beverage Limited has a better performance in customer satisfaction in the Dhaka University Area. All these statistical techniques have been used to measure the independent variable X shown as sales and the dependent variable Y shown as profits in this report to find necessary interrelations between them.
Similar to Comparative Statistical Analysis between PRAN Foods Limited and Akij Foods and Beverage Limited on Customer Satisfaction in the Dhaka University Area.
Understanding the brand equity,products and the customers ofvivek gandhi
Similar to Comparative Statistical Analysis between PRAN Foods Limited and Akij Foods and Beverage Limited on Customer Satisfaction in the Dhaka University Area. (20)
2. We are Presenting…
Comparative Statistical Analysis between PRAN
Foods Limited and Akij Foods and Beverage
Limited on Customer Satisfaction in the Dhaka
University Area.
VS
3. We are… Group no: 05
Group Profile
Name Id. No.
Al-Amin Khandakar 20-019
Pantho Sarker 20-033
Shahriar Md. Lukman 20-047
Gourav Roy 20-059
Md. Gulam Kibria 20-075
4. Now you are with…
Al-Amin Khandakar
Id No: 20-019
5. Measure of Location
• Arithmetic Mean: The arithmetic mean is sum of all the value
divided by the number of values.
• For ungrouped data:
• For grouped data:
Median: The median of a data set is the value in the middle when the
data items are arranged in ascending order or descending order.
For ungrouped data:
For odd number of observations .
Here, n = number of observation
V
S
6. Measure of Location (cont’d)
For even number of observation
For grouped data:
• Mode: The mode is the value that occurs often in a set of data.
For grouped data:
7. Measure of Dispersion
• Mean Deviation: Mean deviation is the arithmetic mean of
the absolute value of the deviations from the arithmetic mean.
• Variance: Variance is the arithmetic mean of the squared
deviations from the mean.
• Standard Deviation: Standard deviation is the square root of
the variance.
8. Measure of Dispersion (cont’d)
• Coefficient of Variation: The coefficient of variation
represents the ratio of the standard deviation to the mean, and it
is a useful statistic for comparing the degree of variation from
one data series to another, even if the means are drastically
different from each other.
• Quartiles: Quartiles divide a set of observations into four equal
parts.
Quartiles Descriptions
First quartile 25% of the observations occur bellow Q1
Second quartile 50% of the observations occur bellow Q2
Third quartile 75% of the observations occur bellow Q3
9. Correlation & Regression
• Coefficient of correlation : coefficient of correlation is a measure
of the strength of the linear relationship between two variable.
• Coefficient of determination: The coefficient of determination is
the fraction of the variation in one variable that is explained by the
variation in the other variable.
• Regression equation: Regression equation expresses the linear
relationship between two variables.
10. Now you are with…
Shahriar Md. Lukman
Id No: 20-047
11. Findings on the Questionnaire
No Findings on the questionnaire
1 “Above 15” is most concentrated option with frequency (f) 26 (RF) 86.67%
2 “University students” is the most concentrated option with (f) 23 (RF) 76.67%
3 “At morning” is the most concentrated option with (f) 20 (RF) 66.67%
4 “PRAN Foods Limited” is the most concentrated option with (f) 25 (RF) 83.339%
5 Both of the options are the most concentrated option with (f) 15 (RF) 50%
6 “PRAN Foods Limited” is the most concentrated option with (f) 21 (RF) 70%
7 Both of the options are the most concentrated option with (f) 10 (RF) 33.33%
8 None is the most concentrated option with (f) 17 (RF) 56.67%
9 None is the most concentrated option with (f) 11 (RF) 36.67%
10 “PRAN Foods Limited” is the most concentrated option with (f) 18 (RF) 60%
11 “PRAN Foods Limited” is the most concentrated option with (f) 18 (RF) 60%
12 Both of the options are the most concentrated option with (f) 15 (RF) 50%
13 “PRAN Foods Limited” is the most concentrated option with (f) 18 (RF) 60%
14 “PRAN Foods Limited” is the most concentrated option with (f) 18 (RF) 60%
V
S
13. Company Overview: PRAN Foods
Limited
• PRAN stands for Program for Rural Advancement Nationally.
• PRAN Foods Limited was founded in 1981.
• PRAN Foods Limited is a developed company and has become the
largest fruit and vegetable processor in Bangladesh.
• It exports in more than 106 countries.
• It’s a private company founded by Major General (Retd.) Amjad
Khan Chowdhury (CEO) which now has more than 58000 employees.
V
S
14. Mission and Vision of PRAN Foods
Limited
• The mission of PRAN Foods Limited is Poverty and hunger are curses.
• The vision of PRAN Foods Limited is improving livelihood.
V
S
15. Statistical Analysis: PRAN Foods
Limited Perspective
V
S
Options Calculation of Arithmetic Mean
Arithmetic
Mean of
Sales
TK 171
Arithmetic
Mean of
Profit
TK. 22.6333
Options Calculation of Median
Median of
Sales 15.5th Value
TK.178.5
Median of
Profits 15.5th Value
TK.23
16. Mode of sales and Profits
• Mode of profits= 20 & 23 (both 4 times)
• Mode of sales= 210 (4 times)
Here, we have found mode to be the most frequently occurring
observation and it is bimodal and it is 20 and 23 in case of profits and
in case of sales it is 210.
V
S
18. 1st Quartile and 3rd Quartile
Calculation: PRAN Foods Limited
Options Calculation of 1st Quartile
1st Quartile of
Sales
3rd Quartile of
Sales
V
S
= TK.150
TK.191.75
Options Calculation of 3rd Quartile
1st Quartile of
Profits
3rd Quartile of
Profits
TK.20
TK.27
19. Mean Deviation and Standard
Deviation: PRAN Foods Limited
Options Calculation of Mean Deviation
Mean
Deviation
of Sales
Mean
Deviation
of Profit
V
S
TK. 26.2
TK. 3.657778
Options Calculation of Standard Deviation
Standard
Deviation
of Sales
Standard
Deviation
of Profit
TK. 33.75878
TK. 4.529469
20. Coefficient of Variation and Coefficient
of Skewness: PRAN Foods Limited
Options Calculation of Coefficient of Variation
CV of Sales
CV of Profits
V
S
0.19742
0.200124
Options Calculation of Software Coefficient of Skewness
sk of Sales
sk of Profit
21. Pearson’s Skewness and Coefficient of
Correlation: PRAN Foods Limited
Options Calculation of Pearson’s Skewness
sk of Sales
sk of Profits
V
S
0.66649
-0.24285406
Options Calculation of Coefficient of Correlation
Coefficient of
Correlation r
0.841832989
22. Coefficient of Determination and
Regression Analysis: PRAN Foods Limited
Options Calculation of Coefficient of Determination
Coefficient of
Determination
V
S
Options Calculation of Regression Analysis
Calculation
of “b” 0.112950076
Calculation
of “a”
Y=a+bX
3.318870398
23. Company Profile of Akij Foods and
Beverage Limited
• Akij is a one of the largest Bangladeshi industrial conglomerates and
Akij Foods and Beverage Limited is on of the portions of its whole
business.
• Akij Foods and Beverage Limited came into force in the foods &
beverage market in the 2006.
• It’s a foods and beverage manufacturing company in which 27000
employees work.
V
S
24. Mission and Vision of Akij Foods and
Beverage Limited
• The mission of the Akij Food & Beverage Limited is “to earn a respected
position in food and beverage sector”
• The vision of Akij Foods and Beverage Limited is discovering and
understanding the desires and needs of community, whiles working in
harmony with their consumers, employees and business partner.
V
S
25. Now you are with…
Md. Gulam Kibria
Id No: 20-075
26. Statistical Analysis: Akij Foods and
Beverage Limited
V
S
Options Calculation of Arithmetic Mean
Arithmetic
Mean of
Sales
TK 171
Arithmetic
Mean of
Profit
TK. 22.6333
Options Calculation of Median
Median of
Sales
Median of
Profits
27. Mode of sales and Profits
• Mode of profits=TK 14 ( 4 times)
• Mode of sales=TK 120 (4 times)
Here, we have found mode to be the most frequently occurring
observation and it is TK. 14 in case of profits and in case of sales it is
TK 120.
V
S
28. 1st Quartile and 3rd Quartile Calculation: Akij
Foods and Beverage Limited
Options Calculation of 1st Quartile
1st Quartile of
Sales
3rd Quartile of
Sales
V
S
Options Calculation of 3rd Quartile
1st Quartile of
Profits
3rd Quartile of
Profits
29. Mean Deviation and Standard Deviation:
Akij Foods and Beverage Limited
Options Calculation of Mean Deviation
Mean
Deviation
of Sales
Mean
Deviation
of Profit
V
S
Options Calculation of Standard Deviation
Standard
Deviation
of Sales
Standard
Deviation
of Profit
30. Coefficient of Variation and Coefficient of
Skewness: Akij Foods and Beverage Limited
Options Calculation of Coefficient of Variation
CV of Sales
CV of Profits
V
S
Options Calculation of Software Coefficient of Skewness
sk of Sales
sk of Profit
31. Now you are with…
Gourav Roy
Id No: 20-059
V
S
32. Pearson’s Skewness and Coefficient of
Correlation: Akij Foods and Beverage
Limited
Options Calculation of Pearson’s Skewness
sk of Sales
sk of Profits
V
S
Options Calculation of Coefficient of Correlation
Coefficient of
Correlation r
33. Coefficient of Determination and Regression
Analysis: Akij Foods and Beverage Limited
Options Calculation of Coefficient of
Determination
Explanation
Coefficient of
Determination
73.4% variation of profit can be
explained by the variation of sales
V
S
Options Calculation of Regression Analysis
Calculation
of “b”
Calculation
of “a”
Y=a+bX
34. Analysis of sales between PRAN Foods Limited
and Akij Foods and Beverage Limited
Name of
the
Company
Sales/Day
AM Median Mode 1st
Quartile
3rd
Quartile
Mean
Deviation
Standard
Deviation
Coefficient
of
Variation
Software
Coefficient
of
Skewness
Pearson’s
Coefficient
of
Skewness
PRAN
Foods
Limited
171 178.5 210 150 191.75 26.2 33.758 0.91742 -0.85 -0.67
Akij
Foods
and
Beverage
Limited
142 136 120 117.75 169.5 28.133 35.709 0.25148 0.86 0.504
V
S
From this chart we can grasp the idea that in case of sales, PRAN Foods
Limited is more successful in obtaining customer satisfaction than Akij Foods
and Beverage Limited in the Dhaka University area.
35. Analysis of Profits between PRAN Foods Limited
and Akij Foods and Beverage Limited
Name of
the
Company
Profits/Day
AM Median Mode 1st
Quartile
3rd
Quartile
Mean
Deviation
Standard
Deviation
Coefficient
of
Variation
Software
Coefficient
of
Skewness
Pearson’s
Coefficient
of Skewness
PRAN
Foods
Limited
22.63
23 20 &
23
20 27 3.6578 4.53 0.2001 -0.37 -0.24
Akij
Foods
and
Beverage
Limited
17.7 17 14 14 20 3.73 5.2324 0.2968 2.009 0.398
V
S
From this chart we can grasp the idea that in case of profits, PRAN Foods Limited is more
successful in obtaining customer satisfaction than Akij Foods and Beverage Limited in the Dhaka
University area.
36. Coefficient of Correlation and
Coefficient of Determination Analysis
V
S
Name of the
Company
Coefficient of
Correlation
Coefficient of
Determination
PRAN Foods
Limited
0.841833 0.7086
Akij Foods and
Beverage Limited
0.856779 0.734071
From the chart of coefficient of correlation and coefficient of determination, we can grasp the
idea that the sales and profits of PRAN Foods Limited and Akij Foods and Beverage Limited are
positively correlated and it is notice worthy that PRAN Foods Limited has stronger positive
correlation than Akij Foods and Beverage Limited. Again, 70.86% and 73.40% of the changes in
variable Y can be explained by the changes in variable X in case of both of the companies
respectively.
37. ConclusionV
S
• So, we can come to the conclusion by scrutinizing
with necessary statistical techniques that PRAN
Foods Limited has won the challenge of becoming
winner in drawing more customer satisfaction in the
Dhaka University area.