Descriptive Statistics Analysis Assignment

To: Angelina Sully
From: Brat Mit
Subject: Report on findings from core units’ data
Dear Angelina,
Introduction
I want to bring to your attention that I received your email and analyzed the
data you sent me accordingly. I conducted descriptive statistics analysis
such as mean, median and mode. I also conducted inferential statistics such
as measures of correlation and difference between variables. Descriptive
statistics was conducted to find out the average scores of different units.
This measure will enable you to gauge the general performance of the class.
Are they performing below or above average? Inferential statistics on the
other hand was employed to establish the extent to which variables were
related or correlated or how much they differed.
Results and discussion
Number 1
Descriptive statistics for students’ scores
Statistics
core1 core
2
core
3
core4 core5 core6 core7 core8
N Valid 500 500 500 500 500 500 500 500
Missing 0 0 0 0 0 0 0 0
Mean 62.57 87.6 85.1 70.12 76.00 83.55 60.87 68.48
Median 63.00 90.0 88.0 70.00 79.00 86.00 60.50 68.00
Std. Deviation 16.75 8.33 10.1 12.15 15.85 10.02 10.74 8.228
Minimum 19.00 56.0 42.0 36.00 14.00 37.00 27.00 42.00
Maximum 98.00 97.0 96.0 98.00 98.00 95.00 89.00 91.00
Table 1
As can be observed, unit core2 posted the highest mean (87.6) while core7
posted the lowest mean (60.87). However, the performance was generally
impressive given that the scores were out of 100.

Number 2
In testing for the difference in test scores for core3 between genders, the
results revealed that there was indeed a significant difference in the scores
of core3 unit between the genders. The males had an average of 86.27 while
the females had an average of 83.96. The t-test results gave a p-value of
0.012 which was less than the level of significance hence warranting the
conclusion that there was sufficient evidence to believe that there was a
significant difference in the scores between the groups.
Number 3
Is there relationship between student origin and gender?
In answering this question, a chi-square test for relationship was employed.
The results indicated a p-value of 0.236. This value is greater than the level
of significance (0.05). This means that there is no relationship between
student origin and gender.
Chi-Square Tests
Value df Asymp. Sig. (2-
sided)
Pearson Chi-Square 4.257a 2 .119
Likelihood Ratio 4.236 2 .120
Linear-by-Linear Association 1.403 1 .236
N of Valid Cases 500
Table 2
Number 4
Is there relationship between student grade in core3 and rate of
their attendance to lectures and seminars?
In answering this question, a chi-square test for relationship was employed.
The results indicated a p-value of 0.995. This value is greater than the level
of significance (0.05). This means that there is a no relationship between
student grade in core3 and rate of their attendance to lectures and
seminars.