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# Assignment - Essay Example

Summary
For the simplicity of the interpretation, we would prefer to ignore 8 schools that did not declare their status. With this 36.8% of…

## Extract of sample"Assignment"

Download file to see previous pages verage of mean score given by peers to students from private schools is higher than that of students from public schools as far as values are concerned. However, further comments can only be made after application of advanced statistical tools like hypothesis testing which may help to reveal if there is any significant statistical difference between the average score from two populations (public and private schools). According to Jain and Sandhu, skewness is the measure of asymmetry in the distribution of population and tells if the mean, mode and median are equal and quartiles are at equal distance from median (3.2). The distribution pattern of the data as seen from the histogram revealed that scores given by peers to both the public schools and private schools are moderately positively skewed having skewness of 0.934 and 0.754 respectively. This suggests that the data is not evenly distributed on both sides of the mean for both public and private schools. The positive skewness confirmed that majority of the students both from public and private schools were given mean score by peers less than or on the average score and very few were given scores higher than the average. Looking at the distribution pattern between the two histograms, we see that number of students that scored higher than average score is greater for private schools than the public schools.
The box plot for the mean score given by peers revealed that there were four outliers for public schools and three outliers from private schools towards the upper side of box plot. This suggested that nearly equal number of students from public and private were given outstanding score by peers (closer to 5).
According to Cook and Upton, median divide the order population data into two groups whereas quartiles divide the population into four groups with first quartile (lowest 25%), second quartile (lowest 50%) and third quartile indicating lowest 75% of the population group (53).
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