1. A group of 78 third-grade students in a Midwestern elementary school took a "self-concept" test that
measured how well they felt about themselves. Higher scores indicate more positive self-concepts. The
lowest self-concept scores were 20, 26, 27, 31, and 32. A histogram and some summary statistics from
Minitab for these students' self-concept scores are given below.
Frequency
15
5
20 25 30 35 40 45 50 55 60 65 70 75 80 85
Self-concept
Variable n
SelfConc 78
(a) Are there any outliers? Justify your answer.
Mean StDev Minimum Q₁ Median Q3
56.85 12.35 20 50
59 65
Maximum
84