Consider the following five-point summary for a variable that was obtained using 200 observations. MinimumQ1MedianQ3Maximum 46667890110 a-1. Interpret Q1.
Eighty percent of the observations are less than 66, 20% of the observations are greater than 66. Seventy-five percent of the observations are less than 66, 25% of the observations are greater than 66. Twenty percent of the observations are less than 66, 80% of the observations are greater than 66. Twenty-five percent of the observations are less than 66, 75% of the observations are greater than 66.
a-2. Interpret Q3.
Eighty percent of the observations are less than 90, 20% of the observations are greater than 90. Seventy-five percent of the observations are less than 90, 25% of the observations are greater than 90. Twenty percent of the observations are less than 90, 80% of the observations are greater than 90. Twenty-five percent of the observations are less than 90, 75% of the observations are greater than 90.
b-1. Calculate the interquartile range. Interquartile range
b-2. Determine whether any outliers exist.
A. No outliers exist.
B. At least one outlier exists on the left side of the distribution.
C. At least one outlier exists on the right side of the distribution.
D. Outliers exist on both the left and right sides of the distribution.
c. Is the distribution relatively symmetric? If not, comment on its skewness. The distribution is symmetric. The distribution is positively skewed. The distribution is negatively skewed. Symmetry or skewness cannot be determined with the available information.