Question

A sample of 20 glass bottles of a particular type was selected, and the internal pressure strength of each bottle was determined. Consider the following partial sample information.

There is a bit of (positive/negative) skew to the data. The variation in the data is relatively (large/small)

A sample of 20 glass bottles of a particular type was selected, and the internal pressure strength of each bottle was determined. Consider the following partial sample information. median = 201.1 lower fourth = 198.0 upper fourth = 216.9 Three smallest observations Three largest observations 124.1 187.7 194.4 220.5 231.6 250.5 (a) Are there any outliers in the sample? Yes Ο Νο Any extreme outliers? Yes Ο Νο (b) Construct a boxplot that shows outliers. 0 150 200 2500 150 200 2500 150 200 250 250 -. - 150 200 Comment on any interesting features. There is a bit of -Select--- skew to the data. The variation in the data is relatively --Select---

Answer 1

lower fourth (a, 198.0 median (0) = 201.| upper fourth la) = 216.9 IGR is inter quartile range Now IQR = 03-01 - 216.9 - 198.0 - 18.9 Li loweż cutoff = 'Q. - 1.5(IOR) = 198 - 1:5 (18.9) - 169.651 Upper Cutoff = y + 1.5 (IDR) = 216,9 +1:5(189) - 245,25 Three smallest observations au 124.1 , 187.7 194.4 Here 124.1 < 169.65 ie 124.1 < lower cutalt " and 124.1 is much smaller than 187.7 124,1 is an extreme outlies Three largest observations are 220,57 231, G 250.5 Here 250.5 > 245.25 jie. 250.5 > upper cuto foto La 250,5 is an outlier!

no iso 200 350 a) There is an outlier in the sample __j.e. 250.5 There is an extreme outlier in the sample i.e. 124.1 b) There is a bit of positive skew to the data. The variation in the data is relatively large