Usage of Statistical Tools and Techniques in Real Life - Desklib

STATISTICS
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Introduction & Sample Selection
The objective of the given report is to highlight the usage of statistical tools and techniques
(both descriptive and inferential) in the real life. The key requirement to ensure the same is
the data for which a survey was done amongst the first year students of the Miramar college.
The focus of the survey was essentially on these key variables namely the weekly study
hours, gender and GPA. The total sample size for this study is 50. The underlying sampling
technique that has been deployed is simple random technique whereby randomly first year
students were selected to participate in the survey and relevant data has been obtained from
the same. In the sample selection process, care was taken to ensure that both the genders have
fair representation so as to avoid selection of too skewed a sample.
Hypothesis
Based on the sample collected, the following two hypotheses have been selected which would
be tested.
1) The average GPA of the first year students at Miramar College tends to exceed 2.75.
2) There is significant difference in the average study hours of first year students of the two
genders (male and female) at Miramar college.
Descriptive Tools
The objective of the descriptive statistical tools is to draw a summary of the sample data
without focusing on deriving population parameters and underlying characteristics of
population. With regards to the numerical data, the key summary statistics would include a
description of the central tendency along with the dispersion of the data. Also, the underlying
distribution of data plays a crucial role. The summary statistics of the GPA and weekly study
hours for the sample data are indicated below.

Based on the above descriptive statistics, it is apparent that average weekly study hours for
the sample of first year students have come out as 15.68 hours. Further, the underlying
dispersion in the data is moderate with the minimum study hours being 6 hours and the
maximum study hours being 25 hours. The non-zero value of skew highlights that the given
sample distribution is non-normal and has a slight negative skew.
Based on the above descriptive statistics, it is apparent that average GPA for the sample of
first year students has come out as 2.48. However, the median and mode GPA values
coincide at 2.6. Further, the underlying dispersion in the data is moderate with the minimum
GPA being 1.2 and the maximum GPA being The non-zero value of skew highlights that the
given sample distribution is non-normal and has a slight negative skew.
The requisite histogram for the two variables is highlighted below.