Answer
Minimum = 188
Maximum = 589
Median = 339
$Q_{1}$ = 192
$Q_{3}$ = 437
IQR = 245
Work Step by Step
Arranging the values in ascending order, we have:
Minimum = 188
Maximum = 589
Median is the average of middle values = (316+362)/2 = 339
$Q_{1}$ is the median of values below median or at 25% of values, hence:
$Q_{1}$ = 192
$Q_{3}$ is the median of values above median or at 75% of values, hence:
$Q_{3}$ = 437
IQR = $Q_{3} - Q_{1} = 437 - 192 = 245$