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School B Statistics

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School A’s histogram shows that the distribution is positively skewed due to a large amount of frequency at the starting interval 0 < T < 10 and decreasing frequency when the interval becomes larger. The distribution suggests that the 25 randomly selected students spent small to moderate amounts of time online with 2 students spending more time than others indicating they are outliers. School B’s histogram shows the distribution is significantly positively skewed with 96% percent of the times from the 25 randomly selected students were less than 20 minutes. However, one student spent a considerably larger amount of time suggesting that there is an outlier. Most of the data were in intervals 0 < T < 10 and 10 < T < 20 showing that school B’s …show more content…
The range shows how much the times in the sample for each school vary. The range is the difference between the maximum and the minimum value. If the range is large, it means the data values are more spread out. School A has the highest range being 26 because School A’s data values are higher and more spread out meaning the times were varied. The IQR and standard deviation for School A are 16 and 8.95. The IQR and standard deviation for School B are 5 and 3.53. The IQR indicates the extent to what the middle 50% of the data values within the sample are dispersed. School A’s IQR Is 16 which means the middle 50% of data values is more spread out, whereas School B’s IQR is was 5 showing us that the middle 50% of the data values were generally not spread out. Standard deviation is a measure that summarises the amount by which every data value within the sample varies from the mean. It indicates how tightly the values in the sample are bunched around the mean. School A’s standard deviation is 8.95 meaning the data values are moderately centred around the mean. School B’s standard deviation, however, is 3.53 showing us that the data values are very close to the …show more content…
The results are reasonable as they were collected by using the random integer generator feature on the graphics calculator so the data values were not picked individually, all calculations were made on the graphics calculator to minimize the problem of human error and all opinions and are views were un-bias. Limitations when comparing the two data sets is that the 25 randomly selected data values may not represent the whole population of year sevens at both the

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