Use the following information to compute the answers. Show your work.
8, 9, 9, 9, 10, 10, 10, 11, 11, 16, 17, 17, 17, 19, 20, 21, 21, 21, 23, 32, 32, 33, 34, 34, 34, 35, 44, 45, 45, 45, 51, 53, 55, 56, 57, 57, 57, 58, 58, 68, 70, 70, 81, 81, 82, 83, 100, 104, 115, 177
If this information is made into a stem&leaf diagram, histogram, and dot plot does it make a bell shape curve? Or is it skewed? Describe please why you think it is or isn't.
Calculate the mean, mode, and median for this data set.
Calculate the variance and standard deviation.
What percentage of your points are within the 1, 2, or 3 Standard deviations from the mean?
Calculate the standard deviation using Range Rule of Thumb.Compare to the usual results.
What percentage of your points are within 2 of the RRofT Standard deviations of the mean?
Can you identify any outliers in these 50 data points that are more than 2 standard deviations from the mean? Compare both types of SD's typical and RRofT.
Determine what data point is 25% percentile.
Compute a 5 number summary and a box plot to determine if there are any outliers.