A study examined the induction time between bacterial meningitis and the onset of seizures in 13 cases (months). Data are shown below. (Show all your work) 0.10, 0.25, 0.5 ,4 ,12 ,12 ,24 ,24 31 ,36 ,44 ,55 ,96

a. Calculate the mean and median of this data set.

b. Compare the mean and median. What does this tell you about the distribution’s shape?

c. Which measure of central location would you use to describe this distribution’s center? Explain your response.

d. Calculate the standard deviation for these data.

e. Calculate the five-point summary and IQR for these data.

f. Calculate the fences for box plot.

g. What are the values of the upper and lower whiskers?

h. Create the boxplot for the data i. Are there any outliers in the data set?

j. Remove the possible outlier "96" and recalculate the mean, median and IQR. What effect did removing the outlier have on the mean, median, and IQR?