Outliers freq dist, histogram, stats *** https://davidwills.us/math103/freq_histogram.html 47 50 48 51 52 55 51 53 54 52 n=____ 10! mean=______ SD=______ Outliers?:______ Change the first datum 47 to 30. n=____ 10! mean=______ SD=______ Outliers?:______ Some change of the mean. How is this new mean in relation to the IQR:_________ Percentage change of the SD:______% ==(new-old)/old *100% Outliers can have a big effect on the SD because of the (x-mean) squared term has an outsized effect. Very big when the data set is small. Some data distros https://davidwills.us/stat200/data_distros.txt Copy and paste the "n=100 normally distributed, u=50, s=5" following line of numbers. n=____ 100! mean=______ SD=______ Outliers?:______ Change the first datum 40 to 0. n=____ 100! mean=______ SD=______ Outliers?:______ Much change of the mean?:____ Percentage change of the SD:______% ==(new-old)/old *100% Outlier still has an effect on the SD of this larger data set but not as much as on a small data set. There more outliers, the more the effect on the SD.