Consider the following five-point summary for a variable that was obtained using 200 observations.

Minimum	Q1	Median	Q3	Maximum
52	72	84	96	116

a-1. Interpret Q1.

multiple choice 1

Eighty percent of the observations are less than 72, 20% of the observations are greater than 72.

Seventy-five percent of the observations are less than 72, 25% of the observations are greater than 72.

Twenty percent of the observations are less than 72, 80% of the observations are greater than 72.

Twenty-five percent of the observations are less than 72, 75% of the observations are greater than 72.

a-2. Interpret Q3. multiple choice 2

Eighty percent of the observations are less than 96, 20% of the observations are greater than 96.

Seventy-five percent of the observations are less than 96, 25% of the observations are greater than 96.

Twenty percent of the observations are less than 96, 80% of the observations are greater than 96.

Twenty-five percent of the observations are less than 96, 75% of the observations are greater than 96.

b-1. Calculate the interquartile range.

b-2. Determine whether any outliers exist. multiple choice 3

No outliers exist.

At least one outlier exists on the left side of the distribution.

At least one outlier exists on the right side of the distribution.

Outliers exist on both the left and right sides of the distribution.

c. Is the distribution relatively symmetric? If not, comment on its skewness. multiple choice 4

The distribution is symmetric.

The distribution is positively skewed.

The distribution is negatively skewed.

Symmetry or skewness cannot be determined with the available information.