Given a sample containing 34 values, find the following:

a) The position of the 66th percentile [1 mark]

b) The position of the first quartile [1 mark]

c) If the interquartile range is 12, with a first quartile of 43, what is the third quartile? [1 mark]

d) If the sample standard deviation is 2.5, find the sample variance. Express you answer correct to 2 decimal places if necessary. [1 mark]

e) If the data contains 24 different values, 2 values occurring 3 times each, and one value occurring 4 times, how many modes are in the data set?