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Chapter1: Introduction

Thedata values were found using an online random generator-www.graphpad.com.The range for the random numbers was between numbers 1 and 75. Thenumbers are random because they lack predictability. The do notfollow a definite pattern as shown in table 1 below:

 Column1 Column2 Column3 Column4 Column5 Column6 Column7 Column8 Column9 Column10 1 10 14 16 18 22 38 54 54 72 3 12 14 16 21 24 39 55 55 74 5 12 15 17 21 29 50 56 56 75 9 13 15 17 21 30 52 58 58 75

Table1: Sorted Set of Random Data

Somenumbers such as 12, 14, 15,16,17,21 and 75 have been repeated asshown above. This is because the simulation was carried 40 times withreplacement. The values were sorted from the highest to the lowestwith the lowest being 1 and the highest 75

Chapter2: Description of Basic Concepts

Thebasic concepts used in this application include:

Randomness-This is the lack of pattern or predictability in events . as is inthe case above, the data does not follow any known pattern

OnlineRandom Generator: This is an online application that outputs a set ofdesired random numbers. The online random number Generator used waswww.graphpad.com

Simulation:it is a concept used to assess the performance of an application

Data:It is a set of information collected during an experiment.

Chapter3: Statistical Concepts

Thestatistical concepts used in this application include:

• Sorting

Itis the process of organizing data from either the highest to thelowest or from the lowest to the highest

• Mean

Thisis the balancing point in a distribution, and it is calculated bysumming it by all the numbers then dividing it by the sample size.

• Median

Thisis the midpoint of a distribution and is calculated by sorting thenumbers from the lowest to the highest and the selecting the value atthe center of the data

• StandardDeviation

Thisis a quantity that indicates dispersion of a set of data sets. It iscalculated by finding the square root of variance

• Range

Itis the difference between the highest and lowest value.

• SampleSize

Itis the number of observations that constitute a data set.

• Minimumand Maximum Usual Value

Thesetwo values are computed using the both mean and standard deviation.They are computed using the formula Mean-(or +)2*Standard Deviation

Summary

Themeasures of centers include the mean, median, and mode. The mean wascomputed using the formula “=MEAN(C3:L6)” and the given outputwas 32.4. The median was computed using the formula “=MEDIAN(C3:L6)”and the output was 21.5 whereas the mode was computed using theformula “=MODE(C3:L9)” and the output was 21. C3 represents thecell of the first number and L6 represents the cell of the lastnumber.

Thevariance output was 513.4256413, and it was computed using theformula “=VAR(C3:L6)” and the standard deviation was given as22.6588976. The minimum usual value output was -12.917795 which isnegative and it thus means that the minimum usual value is unusualwhile the maximum usual value was 77.717752 which is also unusualsince it is bigger than the mean. The skewness value was computedusing the formula “=SKEW(C3:L6)”. The output value was 0.537412.This indicates that most values in the distribution are concentratedon the right-hand side which means that the data is positivelyskewed.

Thesummary for the statistical concepts are as shown below in Table 2and Table 3:

 Table 2: Important Statistics Mean 32.4 Median 21.5 Standard Deviation 22.6588976 Variance 513.4256413 Range 74 Sample Size 40 Table 3:Minimum and Maximum Usual Values Minimum -12.917795 Maximum 77.7177952