QSM 2463 : Quantitative and Statistical Methods

QUANTITATIVE AND
STATISTICAL METHODS
STUDENT ID:
[Pick the date]

Executive Summary
The objective of the given report is to highlight the use of various descriptive statistics
technique aimed at summarising the sample data. The underlying sample data for the purpose
of the given task is the primary data selected using the survey amongst the final year students
at the SEGI University so as to consider a sample of 30 students. The survey used for
collecting the data has been given. One of the variables present in the sample data is student
GPA which has been represented in the form of grouped data using four class intervals. The
various measures of central tendency (mean, median and mode) of this grouped data have
been estimated manually. Then using Excel as the enabling tool, suitable charts of age,
gender, time spent on self-study and program name have been obtained and suitable
discussed. Finally, the histogram of GPA is drawn based on which it becomes evident that
shape is asymmetric and also negative skew is present. Also, weak positive correlation is
present between GPA and self-study time spent daily. This is on expected lines as there are a
plethora of other significant variables which ought to be considered.
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Table of Contents
Executive Summary...................................................................................................................1
Introduction................................................................................................................................3
Analysis......................................................................................................................................3
Survey for data collection.......................................................................................................3
Frequency Distribution Table.................................................................................................3
Central Tendency Statistics....................................................................................................4
Suitable Chart.........................................................................................................................7
Histogram of GPA..................................................................................................................9
Correlation between GPA and Time –Spent........................................................................10
Conclusion................................................................................................................................10
References................................................................................................................................12
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Introduction
The objective of the given task is to demonstrate the use of various techniques of descriptive
statistics. Unlike inferential statistics which aims at estimating the characteristics of the
population based on sample statistics, the descriptive statistics aim to outline the summary of
the sample data. Also, descriptive statistics can be used to outline the linear relationship
between different variables through the use of tools such as correlation. For the purpose of
this report, a primary data of 30 students has been randomly selected through the use of a
survey which aims to collect information related to GPA, study time, course and relevant
demographic details such as age and sex. It is imperative to note that for the purpose of data
collection only the final year students were considered. The data has been analysed in line
with the objectives of the study using appropriate of descriptive statistics.
Analysis
The given section presents the various tasks which need to be implemented with regards to
the given task and the collected data.
Survey for data collection
The following survey has been used for the collection of data from the students.
Q. What is your present age (in nearest whole number)? Answer.
Q. Tick the correct gender that is applicable for you. Male/Female
Q. What is the name of the program that you are currently enrolled in SEGI University?
Q. What is your present GPA (correct to two decimal places) ?
Q. What is the approximate time spent on an average daily for the purposes of self-study
(answer may be in decimals but upto one decimal place only)?
The data that is being used for the given task has been obtained using the above mentioned
survey which was distributed online and responses were solicited online only. Further, no
personal details have been recorded as part of this survey so as to keep the anonymity of the
respondents.
Frequency Distribution Table
It is required to draw a frequency distribution table to summary the GPA of the sample
information. In order to obtain the same, the various classes need to be defined which have
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