STAT 200 Final Exam (spring 2017) STAT 200 Final Exam | Page 3

( b) What percentage of the adults in this sample has an IQ score of at least 110?
( 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 100 students.
Answer each question based on the given information, and ​explain ​your answer in ​each case.
( a) What is the range in the grade distribution?
( b) Which of the following score bands has the most 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 70 and 100?
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.