Answer:
Interquartile Range = 71
Step-by-step explanation:
The interquartile range is the middle 50% of the data set. First you calculate the location of the 3rd quartile (75% of the data set) by computing:
LQ3 = (75/100)(n + 1) -> here n is the number of observations you have, so 15. You can now compute LQ3 = (75/100)(16) = 12
The data at location 12 of your data set is 170.
Now you compute the 1st quartile (25% of the data set):
LQ1 = (25/100)(16) = 4
The data at location 4 of your data set is 99.
The difference between the 3rd quartile (170) and the 1st quartile (99) is your interquartile range:
IQR = 170 - 99 = 71
