For our Honors Math fall final this year we were assigned a task to collect 100 pieces of data from a survey question of our choice. With that question we surveyed 100 students from the same population. After collecting the responses we input the data into a spreadsheet to find the frequencies for each answer given. With those frequencies we then found the mean, median, mode, range, quartile 1, quartile 2, quartile 3, the interquartile range, maximum, minimum, outliers, standard deviation, and a z-score from the data. Further we were to create a hand drawn histogram and a box and whisker plot. Finding all of these is helping us come to a conclusion as to whether the responses to the survey question is normally distributed or not and if
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The next thing I found was the range. To find the range you take the maximum number in the set minus the minimum number in the set. In my data the range was 60. Next, I found the quartiles that would be used for my box and whisker plot. To find Quartile 1 you have to find the median of the data that falls below the median of the entire data. In my data Quartile 1 was 0. You do almost the same to find Quartile 3. You find the median of the upper half of the data. You can not use the median to find Quartile 3 so you have to use everything above it. Quartile 3 in my set of data was 14. Finding Quartile 2 is easy because it is the same as your median. To find any outliers you have to find the upper limits and the lower limits. To do this you must find the interquartile range first. To do that, you subtract Quartile 1 from Quartile 3. With the interquartile range, you then can add it to Quartile 3 and subtract it from Quartile 1. By adding the interquartile range to Quartile 3 you are creating the upper limit and by subtracting the interquartile range from Quartile 3 you are finding the lower limits. In this case all four of my outliers fell above the maximum limit of 36 because you can not fly negative times and 0 falls within the limits. Lastly, I found the standard deviation of my entire 100 pieces of data. To do this I wrote all the numbers that would be found of the x-axis ( 0 - 60 ). Then I found the average of all of

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