an experiment measuring the percent shrinkage on drying of 50 clay specimen produced the following data ;
13.4 17 18.4 20.1 21.2
13.9 17.4 18.5 20.2 21.2
14.2 17.5 18.5 20.3 21.2
14.8 17.6 18.7 20.3 21.2
15.4 17.6 19 20.4 21.4
15.6 17.8 19.3 20.5 22.3
15.8 18 19.4 20.5 23.1
16.4 18.2 19.6 20.6 23.1
16.6 18.2 19.6 20.8 23.6
16.6 18.3 19.7 20.8 24
results mean = 18.95, mode=21.2, median=19, std dev= 2.5 variance =6.27
a) group the data into class interval of size 1% starting with the value 13.0 and draw the resulting histogram.
b)For the grouped data acting as of each of the data point in an interval was actually located at the midppoint of that interval, compute the sample mean,variance and standard deviation and compare with the results above.