Question

Many of you ride the Appalcart to campus (Boone’s mode of public transportation). For those of you that do ride the bus, you must have also noticed that it is frequently not where it should be when it should be there. The representations below are representative of a random selection of the number of minutes that a given Appalcart bus is behind schedule.

Descriptive Statistics
        Total
Variable        Count Mean StDev Minimum    Q1    Median     Q3
Appalcart Tardiness    90     9.189 8.309   0.000     3.000 6.500     13.250

Variable        Maximum    IQR
Appalcart Tardiness    36.000     10.250

(a) What is the time that breaks this data set into an upper half and a lower half? _______

(b) What is the time that separates the data set into the top 25% and the lower 75%? _______

(c) How many total observations were included in my sample? ______

(d) What is the general shape of the distribution? Explain what statistics you used to determine the shape.

(e) Does this data set display any outliers? If so, estimate the value of the outlier(s).

Answer 1

(a) The time that breaks this data set into an upper half and a lower half is Median = 6.5

(b) What is the time that separates the data set into the top 25% and the lower 75% is upper and lower quartile which are 3 and 13.250.

(c) Total observations included in the sample is 90.

(d) Mean> Median , the shape of the distribution is positively skewed.
(e) The box plot can show the outliers which are 30,32 and 38. 38 count is 2 from box plot. The box plot is