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8102 Assignment 2 - Probability Distribution

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Objective : To apply descriptive statistical measures and probability distribution to identify patterns

in the data and analyse the study conducted by QRT team and evaluate their conclusions.

Variable Inputs of Data : Download Times of OurCampus Homepage

Descriptive Statistics - Time 


   
Mean 12.8596 Distribution Curve
Standard Error 0.327927804 35
Median 12.785 30
Mode 15.46 25
Standard Deviation 3.279278043 20

Frequency
Sample Variance 10.75366448 15
Kurtosis 0.883307947 10
Skewness -0.214752012 5
Range 19.87 0
Minimum 2.46 46 4 7 3 4 2 1 0 8 9 5 8 2 6 9 5 6 4 3 r e
Maximum 22.33 2. 4.4 6.4 8.4 0.4 2.3 4.3 6.3 8.3 0.3 Mo
1 1 1 1 1 2
Sum 1285.96
Time
Count 100

Question 1 : Can the collected data be approximated by normal distribution?

Answer 1 : Yes, the collected data can be approximated by a normal distribution. We draw a
distribution bar chart of the collected data and note that it has a clear bell shape which indicates a
symmetric curve or normal distributions. Furthermore, we test some important properties of a
normal distribution: that about 68% of observations lie within one standard deviation of the mean
(in our case 73%) and that about 95% of observations lie within two standard deviations of the mean
(in our case 94%).

2. It is true that a 15-second download is less likely than a 14 or 13-second download. Even
though in our collected data, there were more 15-second downloads than 13- or ...

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