Twelve sheep were fed a special diet consisting of dried grassand barley for three months. At the end of the period the plasmainsulin concentration (??/??) was determined for each sheep. Thedata are: 20.5 26.2 18.8 21.2 22.1 21.2 25.4 26.8 22.9 22.8 30.828.4
a) Find the mean, median and mode.
b)Find the first and third quartiles.
c) Find the range, variance and standard deviation.
d) Find the 40th percentile ?40.
e) Find the percentile rank of 25.4.
f) Find the interquartile range (???). What does the ??? explainabout the distribution of the plasma insulin concentration of thetwelve sheep?
g) Identify the outliers if there are any?
h) Construct the box-plot for the data set and comment on theshape of the distribution of the data.