STAT 200 FINAL EXAMINATION, SPRING 2017 STAT 200 FINAL EXAMINATION, | Page 3

(c) Which of the following IQ score groups does the median of this distribution belong to?
70 – 89, 90 – 109, or 110 – 129? Why?
4. ​ The five-number summary below shows the grade distribution of a STAT 200 quiz for a
sample of 160 students
Answer each question based on the given information, and ​ explain ​ your answer in ​ each ​ case.
(a) What is the interquartile range in the grade distribution?
(b) Which of the following score bands has the fewest students?
(i) 30 - 50
(ii) 50 - 70
(iii) 70 - 90
(Iv) Cannot be determined
(c) How many students in the sample are in the score band between 50 and 70?
5. ​ Consider selecting one card at a time from a 52-card deck. What is the probability that the
first card is an ace and the second card is also an ace? (Note: There are 4 aces in a deck of
cards) (​ Show all work. Just the answer, without supporting work, will receive no credit.)
(a) Assuming the card selection is with replacement.
(b) Assuming the card selection is without replacement
6. ​ There are 1000 juniors in a college. Among the 1000 juniors, 300 students are taking
STAT200, and 150 students are taking PSYC300. There are 50 students taking both courses.
Let S be the event that a randomly selected student takes STAT200, and P be the event that a