STAT 200: Introduction to Statistics Final Examination STAT 200 | 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 .