Unit 2 Statistics Booklet - Newbattle Community High School

MATHEMATICS 2 (INTERMEDIATE 1)Specimen assessment questions for Use of Simple Statistics1. The heights (to the nearest cm) of some girls are given below.What is:163 157 161 169 166 157 167 163 157 161(a)(b)(c)(d)the rangethe median heightthe modal heightthe mean height?2. A golfer (who, of course, likes to shoot low scores), plays a round of golf every day onhis week’s holiday.He scores: 69 70 90 73 71 70 82(a) Which of his three ‘average’ scores - the mean, the median or the mode, would heprefer?(b) If he accepts this ‘average’, comment on his round of 69.3. The following table shows the number of children per family in the families of thepupils in a second year class.Number of Children 1 2 3 4 5 6 7 8Frequency 4 3 10 6 4 2 1 0(a) Draw a frequency table to show this, but with an extra column for‘Number of Children × Frequency’.(b) Calculate (to 1 decimal place), the mean number of children per family.(c) Find: (i) the median (ii) the mode of the distribution.4. A bag contains 40 sweets. 30 are ‘Cola Bottles’ and 10 are ‘Mint Chews’.If a sweet is picked at random, what is the probability that it will be:(a)(b)(c)(d)a ‘Cola Bottle’a ‘Mint Chew’a ‘Pineapple Chunk’a ‘Cola Bottle’ or a ‘Mint Chew’?Mathematics: Mathematics 2 (Int 1) Statistics – Student Materials 38