One way to measure a person’s reading fluency is to have him or her read an unpracticed passage for one minute. The researcher then counts the number of words read correctly, which is called words correct per minute (WCPM). In a study at a private college in the Northeast, the WCPMs of participants were approximately normally distributed with mean 189.16 words and standard deviation 22.50 words (Source: Assessment of Reading Rate in Postsecondary Students, Lewandowski, Lawrence J., et al.). Round your results to the first decimal place.
a. Find Q1.
b. Find Q3.
c. Find the IQR.
d. Of the original group of students recruited for the study, 15% were excluded due to learning disabilities, attention disorders, or speaking English as a second language. For each of parts (a), (b), and (c), determine whether your result would most likely have been larger, smaller, or the same if the students who were excluded had been allowed to participate.