Statistical Analysis and Memory Utilisation in Computing Mathematics

School of Computing and
Engineering
Title Assignment – Course work
Module Introduction to Computing Mathematics (Level 3) (Full time)
Module Code CP30683E
Module Leader: Fehmida Mohamedali
Set by: Fehmida Mohamedali
Moderated by: Nasser Matoorian
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Task One: Statistical Analysis
a) Create a Frequency Distribution table for each data set using suitable Class Intervals.
Solution
For data 1:
Class Intervals Mid-Point Frequenc
y
20.5 <= 21.5 21 10
21.5 <= 22.5 22 32
22.5 <= 23.5 23 22
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For data 2:
Class Intervals Mid-Point Freq
18.5 <= 19.5 19 2
19.5 <= 20.5 20 18
20.5 <= 21.5 21 12
21.5 <= 22.5 22 18
22.5 <= 23.5 23 11
23.5 <= 24.5 24 1
24.5 <= 25.5 25 2
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b) Extend your table to include columns for Percentage Frequency and Percentage
Cumulative Frequencies.
Solution
For data 1:
Class Intervals Mid-Point Frequenc
y
%
Frequency
Cumulativ
e
Frequency
%Cumulativ
e Frequency
20.5 <= 21.5 21 10 16% 10 16%
21.5 <= 22.5 22 32 50% 42 66%
22.5 <= 23.5 23 22 34% 64 100%
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For data 2:
Class Intervals Mid-Point Freq % Freq CF %CF
18.5 <= 19.5 19 2 3% 2 3%
19.5 <= 20.5 20 18 28% 20 31%
20.5 <= 21.5 21 12 19% 32 50%
21.5 <= 22.5 22 18 28% 50 78%
22.5 <= 23.5 23 11 17% 61 95%
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23.5 <= 24.5 24 1 2% 62 97%
24.5 <= 25.5 25 2 3% 64 100%
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c) Draw a Frequency Polygon to illustrate the frequency of data against class intervals for
each system.
Solution
d) Use Microsoft Excel to calculate Mode, Median, Mean and STDEVP for each system.
Give your answer to 2 decimal places.
Solution
data1 data2 data3
min 20.60 18.60 21.50
max 23.40 25.20 21.50
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