Question 5.43

13. The Survey of Study Habits and Attitudes (SSHA) is a psychological test that evaluates college students’ motivation, study habits, and attitudes toward school. A private college gives the SSHA to 18 of its incoming first-year women students. Their scores are (sorted in ascending order):

101 115 129 140 154 165
103 126 137 148 154 178
109 126 137 152 165 200
  1. Make a stemplot of these data. The overall shape of the distribution is irregular, as often happens if only a few observations are available. Are there any outliers?
  2. About where is the center of the distribution (the score with half the scores above it and half below)? What is the variability of the scores (ignoring any outliers)?

13.

(a)

image

There is one high outlier: 200.

(b) The center of the 17 observations other than the outlier is 137 (9th of 17). Ignoring the outlier, there are values between 101 and 178.