Final Answer:
a) The median of Part a would be affected as the distribution shifts with the change in Tyrion's study time.
b) The IQR of Part b would be influenced due to alterations in the spread of data caused by Tyrion spending all 60 minutes on math.
Step-by-step explanation:
In Part a, where Tyrion spends 10 minutes studying math and 50 minutes studying science, the median is calculated based on the data points. If Tyrion were to spend all 60 minutes studying math, the median for Part a would be affected since the data distribution would change.
For Part b, the Interquartile Range (IQR) is a measure of statistical dispersion. It is calculated as the difference between the third quartile (Q3) and the first quartile (Q1). If Tyrion were to spend all 60 minutes studying math, the IQR for Part b would be affected because the distribution of the data, particularly the spread between the quartiles, would change.
It's important to note that the median is the middle value of a dataset when it is sorted, and the IQR represents the range in which the middle 50% of the data lies. Any change in the dataset, like the time spent studying math in this case, will impact these statistical measures.