What is the median? (0.5 Marks) – What is the lower quartile and IQR?

Consider the following set of numbers:
The times, in seconds, taken by 11 students to solve a puzzle are listed in order 7, 12, 13, 17, 18, 20, 22, 24, 25, 30, 45.
1) What is the median? (0.5 Marks)
2) What is the lower quartile and IQR? (0.5 Marks)
3) What is the sample standard deviation of the time data? (0.5 Marks) Are there any outliers? If there are, compute a new sample
standard deviation with the outlier removed. (0.5 Marks)
B. Probability: (8 Marks Total)
1) Randomly pick two numbers from n numbers (1, 2, …, n), what is the probability that one number is smaller than k (1
and the other one is larger than k? (1 Marks)

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