Here is the five-number summary for a group of 100 runners in a 5-kilometer race. the variable is the time to complete the race. five-number summary: minimum: 15 minutes q1: 27 minutes median: 31 minutes q3: 32 minutes maximum: 50 minutes are there any outliers in the runners’ finish times by the 1.5 * iqr definition?

Given:
Minimum = 15 min
Q1 = 27 min, the 25 quartile
Q2 = 31 min, the median
Q3 = 32 min, the 75% quartile
Maximum = 50 min

Calculate the IQR (Inter quartile range).
IQR = Q3 - Q1 = 32 - 27 = 5

To detect outliers, use the k = 1.5 test.
The expected range is
[Q1 - 1.5*IQR, Q3 + 1.5*IQR]
= [27 - 1.5*5, 32 + 1.5*5]
= [19.5, 39.5]

The actual range is [15, 50].
The minimum is less than 19.5.
The maximum is greater than 39.5
Therefore outliers exist.

There are outliers.

Od. 130 degrees because if you add them together you get the 130