Unit 2 Statistics Booklet - Newbattle Community High School
Unit 2 Statistics Booklet - Newbattle Community High School 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
MATHEMATICS 2 (INTERMEDIATE 1)Specimen assessment questions for Graphs, Charts and Tables1. The graph shows class absences whichwere recorded during a chicken-poxepidemic over 6 weeks in 1996.(a) Which class was more affectedfirst by the epidemic?(b) On how many weeks werethere more than 10 pupilsabsent in class 1K?(c) What was the largest numberof pupils absent on any dayin either class?(d) How many pupils, in total, wereabsent over the period?No. of pupils absent1614121086420Class 1KClass 1PWk.1 Wk.2 Wk.3 Wk.4 Wk.5 Wk.62. On Sat. 11th. Oct. 1997 Scotland defeated 10%Latvia 2-0 to qualify for the World CupFrance10%finals in France in 1998.EnglandTo assess Scotland’s chances, a50%survey was carried out, askingpeople in the street whichteam would win the World Cup.The replies from 500 people are shown inthe pie-chart.25%GermanyBrazil(a) How many said(i) Brazil (ii) Germany (iii) France?(b) The remaining section of the chart shows the people who said ‘Scotland’.How many was that?3. The marks of eight pupils from tests in History and Geography are shown below.Pupil’s Name Alice Dawn Gerry Colin Freda Sally Harry WillHistory 5 6 10 11 13 15 18 22Geography 8 10 13 14 16 17 20 25(a) Draw a SCATTER DIAGRAM using the History marks for the horizontal axisand the Geography marks for the vertical axis.(b) Describe the general trend of the graph.(c) Draw in a line of best fit.(d) Use the line to estimate the Geography mark if the History mark was 20.4. The following marks are those scored by pupils in a Primary 4 science test.(a) Draw a FREQUENCY TABLE to show this.9 3 3 4 6 7 5 4 2 5 5 7 1 7 6(b) How many sat the test and what was the 3 6 5 7 4 8 7 5 4 5 8 6 2 6 4top mark ?7 5 3 6 4 8 6 4 4 5 6 5 7 10 7(c) How many scored more than 7?6 9 7 8 6Mathematics: Mathematics 2 (Int 1) Statistics – Student Materials 37
- Page 1: MATHEMATICS 2 (INT 1) - STATISTICS
- Page 5 and 6: The Bar Graph (Chart)Exercise 11. T
- Page 7 and 8: 5. The diagram refers to the sales
- Page 9 and 10: (a)(b)(c)(d)(e)(f)(g)When do you th
- Page 11 and 12: 4. For the year 1996 - 1997, the gr
- Page 13 and 14: 4.buscarplanetrainbuscarplaneSeries
- Page 15 and 16: 4. ‘Trylin Yachts’ cost £100 0
- Page 17 and 18: Construction of GraphsExercise 71.
- Page 19 and 20: 8. The results in the table below m
- Page 21 and 22: Frequency TablesExercise 81. What n
- Page 23 and 24: 4. A plumber decided to monitor the
- Page 25 and 26: USE OF SIMPLE STATISTICSBy the end
- Page 27 and 28: Range, Mean, Median and ModeExercis
- Page 29 and 30: 11. Mary and Beth played eight roun
- Page 31 and 32: 4. The pupils in Castle High School
- Page 33 and 34: 6. A pack of 52 playing cards are l
- Page 35: MATHEMATICS 2 (INTERMEDIATE 1)Check
- Page 39 and 40: Answers to Graphs, Charts and Table
- Page 41 and 42: 5. 45x(c) French marks are higher (
- Page 43 and 44: Answers to Use of Simple Statistics
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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) <strong>Statistics</strong> – Student Materials 36