Question

part b ? also

Consider the following observations on shear strength (MPa) of a joint bonded in a particular manner, 22.6 40.4 16.4 74.0 36.6 108.4 00 4.4 33.1 66.7 81.5 (a) What are the values of the fourths, and what is the value of fs? (Enter your answers to one decimal place.) ower fourth 26.3 upper fourth-70.35 1s-44.05 (b) Construct a boxplot based on the five-number summary. (Do this on paper. Your instructor may ask you to turn in this work.) Comment on its features. O There are outliers. There are no outliers There is a slight negative There is a slight positive skew to the data The variation seems quite large skew to the data. The data is symmetric. O The variation is small.

part d)  By how much could the largest observation be decreased without affecting f_s? (Enter your answer to one decimal place.) My answer for part d was : 108.4-81.5 =26.9 or -26.9 , which the homework says is wrong answer

Answer 1

b)

there is no outliers.

there is slight positive skew to the data

the variation seems quite large

c)

The fourth spread is measured using the lower fourth and upper fourth. So, until and unless we reduce it to a value less than upper fourth i.e. 70.35, the fourth spread won't change.

So, the maximum decrease that can be done = 108.4-70.35=38.05