In: Statistics and Probability
A group of 20 prisoners in a particular cellblock were tested on their knowledge of the
rules of the institution. The marks (out of a possible score of 70) were as follows:
31, 28, 27, 19, 18, 18, 41, 0, 30, 27, 27, 36, 41, 64, 27, 39, 20, 28, 35, 30.
a) Calculate the range, variance and standard deviation for these data.
b) Remove the largest and smallest scores. Re-calculate the range, variance and
standard deviation.
c) Compare the measures of dispersion for the two distributions. Are there any
differences? If so, how would you account for them?