Unit 2 Statistics Booklet - Newbattle Community High School

5. The owner of a shoe shop is ordering from the manufacturer. In order to find out whichsize of shoe to order most of, he looks carefully for a while at the size of shoes whichladies buy in his shop.Here is one common sample of shoe size he found:3 3 3 3 4 4 5 5 6 6 6 6 6 6 7(a) Calculate the mean, mode and median.(b) For his own purpose, which one should the shop owner make the most use of?6. Richard gets the following marks (out of 10) for his spelling tests.9 5 5 4 8 9 7 3 4 4 6(a) Find: (i) the mean (correct to the nearest whole number).(ii) the mode.(iii) the median.(b) Richard’s ‘average’ mark will be used by the teacher in his report.Which ‘average’ - mean, mode or median, would Richard prefer?7. A five-sided spinner has a number (1 - 5) on each of its sides.When it is spun,(a) what is the probability that it stops at:(i) a 2 (ii) an even number (iii) an odd number?(b) what is the probability that:(i) it won’t stop (ii) it will stop at one of the numbers 1 - 5?345218. Mrs. Young put her two sons’ toys into one box in the dark attic.Albert’s toys were - 3 planes, 4 cars, 2 jigsawsand 1 construction set.Andrew’s toys were - 5 books, 4 carsand 1 football.Albert sneaks into the attic looking for a football.In the darkness, he plunges his hand into the box!What is the probability that he will first touch:(a) a book (b) a plane(c) a car (d) the football(e) one of his own toys (f) one of Andrew’s toys?TOYSMathematics: Mathematics 2 (Int 1) Statistics – Student Materials 36