Answer:
The first and third quartiles were calculated incorrectly. Also, this means the inter quartile range is incorrect.
Explanation:
The first quartile is going to be the median of the lower half of the data set {89, 93, 99, 110} this median is (93+99)/2, or 96.
The third quartile can be calculated the same way with the data set {135, 144, 152, 159} This gives us 148 as the third quartile.
Lastly, the interquartile range is just the difference between the first and third quartiles, which is 52.