Public library. Chicago Data Portal stores data for materials pulled to fulfill patron holds. Chicago Public Library is in 81 locations, including over 70 neighborhood branches and Sulzer, Legler, and Woodson regional libraries, and the Harold Washington Library Center. Many of the libraries remain closed at intervals to perform facilities upgrade or due to heating or air conditioning issues or power outages. The data set from Chicago Data Portal yielded the following summary statistics for materials pulled to fulfill patron holds across the 81 locations in December 2020: x = 4,151.987, m = 1,654, s = 13,266.3518, QL = 858, QU = 3,557.

a. Interpret, practically, the measures of relative standing.

b. Compute the interquartile range, IQR, for the data.

c. What proportion of the 81 locations have materials pulled to fulfill patron holds between 858 and 3,557?

d. Approximately what proportion of the sampled materials pulled to fulfill patron holds above 30,684.6912?