The following scores represent the final examination grade for an elementary statistics course:-

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i.Find its mean, median, mode , Quartiles and standard deviation

ii.Make a grouped frequency distribution of this data and again calculate mean, median, mode, Quartiles and standard deviation

iii.Compare your results of part(i) and part (ii), also comment on your results.

iv.Find mean, median, mode and standard deviation through R.

v.Define the skewness of this data set.

A study of the effect of smoking on sleep patterns is conducted. The measure observed is the time, in minutes, that it takes to fall asleep. These data are obtained:

Smokers: 69.356.022.147.653.248.152.734.4 60.243.823.213.8

Non Smokers: 28.625.126.434.928.828.438.530.230.631.841.621.136.037.913.9

i.By calculating mean for each data, which group do you think have better asleep time taken and why?

ii.Calculate standard deviation, variance and Co-efficient of variation for each group and compare them.

iii.Which group having greater value ofrelative dispersion and why?

iv.Solve part (ii) through R also.

In the manufacturing of a certain scientic instrument great importance is attached to the life of a particular critical component. This component is obtained in bull: om two sources, A and B, and in the course of inspection, the lives of 1000 of the components om each source are determined. The followin- fr.- uenc tables are obtained: Life {hours} No of Lifeiours] No of com I orients Com w onents 10001020 1020-1040 10401060 10601030 10301100 11001120 Find Median and two quartiles for each group. 10301040 10401050 1050100 106010?0 10T01030 10301090