Question

Explain, using a real-life example, why it is necessary to consider variability around the mean or nominal dimension as a measure of quality.

Answer 1

Following two real life situation will help you about why there is necessity to consider variability around mean as measure of quality.

On the other hand, Consider following situation.

·A class of students took a math test. Their teacher found that the mean score on the test was an 85%. She then calculated the standard deviation of the other test scores and found a very small standard deviation which suggested that most students scored very close to 85% 0.

Necessity to consider variability aound mean Cansidor following tao 1ea] life situatfon Suppase a dass of student took a math test Their teacher found that the mean Scoie on the test was an 5 She then caltu lated stan dard deviation is Cmeasure of variability) found a uery Small standard deviaton which Sugdested that most student scaied verq dosed to 857 From this analysis,ーteacher,一get-an_dea about proqztss of all stedent Stan darol d evlation s lo that indicate no dh paxticalar student io has scond very lod maik 4 no aiy student who has score ve high aikon the an duee ll the st-sidents are scard about rag Notw on the othei hand consider following situetior 2): A class of student-took α test in nguage.- ants The teacher deteimines that the mea giade on the exam is q 65z. she is con ceined that this is uery losb, so, sh determines the standand cevidtton to e if it seems that mast students, dosed to mean not. The teachesrdfind that .gt andaid deu.dton I. s high-一After-close 1. law scores wese the outhierst Thus, from ahave two example examinin f test, the teacher is able to (t the mean of entire class score 2019/1/17 ts necessity to consider uaridbility aaun mean 1