Statistics Revision Worksheet Level 3/4 SECTION 1 - READING INFORMATION FROM GRAPHS & TABLES 1) Iona and her friends order some pizzas to be delivered. They order a 9-inch Hot Spicy deep base, a 12-inch Margherita deep base and two 12-inch Vegetarian thin base. Find the total cost of the order. 3 2) Alan and Kate take their 12 year old twins daughters to the Urban Wildlife Park. Instead of buying four individual tickets they decide to buy a Family ticket. How much money do they save? 3 3) Steven is buying new kitchen cabinets. He buys: three Base cabinets of width 50cm. two Wall cabinets of width 30cm. one Drawer cabinet of width 80cm. Calculate the cost of his kitchen cabinets. 3
4) This table shows insurance premiums for holidays abroad. Mr and Mrs Jones, both 35 years old, take their two children, aged 3 and 8, and Mr Jones s father, aged 70, on a one week holiday to Europe. Find the total cost of the insurance premium. 3 5) Janice is planning to go on holiday to Florida. She wants to book with FloridaSun Holidays and stay at the Parkway Hotel. The table below shows the pricing information for the Parkway Hotel. a) Janice wants to stay in the Parkway Hotel for 14 nights. What will be the price if her holiday starts on 5 th July? 1 b) The Parkway Hotel charges an extra 4 95 per person per night for a single room. How much extra will Janice pay for her 14 night holiday if she wants a single room? 1 c) If Janice books today she will get a 20% discount on her total cost. Find the discounted price of her 14 night holiday in a single room from 5 th July. 2
6) The Sharkey family is going on holiday to France. They will stay at the Prenez Les Bains campsite. The family chooses a mobile home holiday. Their holiday will start on 15 th July and the family will stay for 12 nights. Use the table above to calculate the cost of the holiday. 3 7) The temperature in a supermarket freezer during a 12-hour period is shown in the graph below. a) From 8am, how long did it take for the temperature to rise to -20 C? 1 b) For how long, in total, was the temperature rising during the 12-hour period? 3
SECTION 2 BAR CHARTS 8) The pupils in fourth year at Wanlockhead High School voted in the school election. The votes for each candidate are given below: Eco: 86 votes Health: 24 votes Fairtrade: 52 votes Community: 18 votes Using a suitable scale, draw a bar chart to show this information. 4 SECTION 3 PIE CHARTS 9) A survey of 1800 first time voters was carried out. The pie chart below shows how they would vote at the next election. How many of the 1800 first time voters would vote Conservative? 3 10) 100 grams of wholemeal bread contains the following: Show this information on a pie chart. 4
SECTION 4 SCATTER GRAPHS 11) The table shows the marks scored by pupils in French and Italian exams, a) Using the scale shown below draw these marks on a scattergraph. 2 b) Draw a line of best-fit on the graph. 1 c) A pupil who scored 65 in his French exam was absent from the Italian exam. Use your best-fitting line to estimate this pupil s Italian mark. 1 12) The Science and Maths marks for 10 students are shown in the table below. a) Using the scale shown below draw a scattergraph to show these marks. 3
b) Draw a line of best fit on the graph. 1 c) A student whose Science mark is 50 was absent from the Maths exam. Using the line of best fit, estimate the student s Maths mark. 1 SECTION 5 STEM & LEAF DIAGRAMS 13) The marks for a group of pupils in a Maths test are shown below. 43 17 25 25 29 31 32 11 26 20 25 42 32 33 25 28 41 35 32 26 a) Show this data in an ordered stem and leaf diagram. 3 b) What is the mode for this set of data? 1 14) Rachel asks 19 of her friends how many text messages they sent last week. Their answers are shown below. 34 25 46 62 28 38 42 23 25 15 32 52 35 44 30 10 33 41 55 a) Display Rachel s friends answers in an ordered stem and leaf diagram. 3 b) What is the median number of text messages? 1 15) Each pupil in a science class is growing a plant. A few weeks later the height of each plant is measured. The heights in centimetres are shown below. 6 3 5 4 5 8 7 0 6 2 7 6 8 3 8 4 5 3 8 8 8 5 5 6 6 8 6 5 6 1 6 7 7 4 7 6 5 3 a) Display these results in an ordered stem leaf diagram. 3 b) Find the median height. 1 16) Karen asked her class to note the number of songs they downloaded to their phones in the last month. The answers are shown below. 14 16 15 26 11 32 12 13 42 51 27 21 14 17 31 46 33 44 15 17 Display these answers in an ordered stem and leaf diagram. 3 17) David asked twenty of his classmates how many books they had downloaded. His results are shown below. 8 6 11 15 12 12 9 32 16 17 24 33 41 26 37 35 16 17 5 32 Construct an ordered stem and leaf diagram to display the results. 3
SECTION 6 AVERAGES & SPREAD 18) Ten people were asked to guess the number of coffee beans in a jar. Their guesses were: 310 260 198 250 275 300 245 225 310 200 a) What is the range of this data? 1 b) Find the median. 2 19) At the World Athletic Championships the mean time for the first semi-final of the 100 metres was 9 98 seconds. For the second semi-final the times, in seconds, were: 10 21 10 04 9 92 9 98 10 04 9 94 9 9 9 73 Was the mean time for the second semi-final better than the mean time for the first semi-final? 4 20) Sean draws a stem and leaf diagram to display charity donations. Using the above diagram, find: a) the mode 1 b) the median 2 c) the range of the donations. 1 SECTION 7 - PROBABILITY 21) Davina has a bag of sweets. It contains three yellow sweets, four purple sweets, two red sweets and six pink sweets. The corner of her bag is torn and a sweet falls out. a) What is the probability that this sweet is yellow? 1 b) The sweet that fell out was yellow and she puts it in the bin. What is the probability that the next sweet to fall out is pink? 2
22) Craig works in the school office. Shown below is his order for 25 boxes of folders. His order has arrived in identical boxes but they are not labelled. a) What is the probability that the first box Craig opens contains pink folders? 1 b) The first box Craig opens contains green folders. What is the probability that the next box he opens contains blue folders? 2 23) There are 2 yellow, 3 red, 1 blue and 4 orange cubes in a bag. a) Jason takes a cube from the bag. What is the probability that it is orange? 1 b) The cube is replaced in the bag and 3 white cubes are added to the bag. What is the probability that the next cube taken from the bag is not red? 2 24) A box contains counters numbered from 1 to 14. A counter is chosen at random. What is the probability that this counter has a number greater than 9? 2
Number of Votes ANSWERS 1) 5 15 + 5 00 + 2 6 05 = 5 15 + 5 00 + 12 10 = 22 25 2) Individual: 2 13 50 + 2 11 50 = 27 + 23 = 50 Family: 42 Saving: 50-42 = 8 3) 3 66 + 2 39 + 179 = 198 + 78 + 179 = 455 4) 2 27 50 + 2 19 50 + 2 27 50 = 55 + 39 + 55 = 149 5a) 805 5b) 4 95 14 = 69 30 5c) Total: 805 + 69 30 = 874 30 Discount: 20% of 874 30 = 174 86 Cost: 874 30-174 86 = 699 44 6) 825 + 5 72 = 825 + 360 = 1185 7a) 3 ½ hours 7b) 3 ½ + 2 + 2 ½ + 1 ½ = 9 ½ hours 8) Wanlockhead High School Election 90 80 70 60 50 40 30 20 10 0 Eco Health Fairtrade Community Candidate 9) 360 (120 + 100 + 25 + 35) = 80 80 360 1800 = 400 voted conservative
Italian Mark 10) Wholemeal Bread Fat 3% Fibre 9% Other 23% Protein 10% Carbohydrates 55% 11) French & Italian Exam Marks 100 90 80 70 60 50 40 30 20 10 0 0 10 20 30 40 50 60 70 80 90 100 French Mark 11c) Approximately 87%
Mathematics Mark 12) Science & Maths Marks 100 90 80 70 60 50 40 30 20 10 0 0 10 20 30 40 50 60 70 80 90 100 Science Mark 12c) Approximately 54 13a) Maths Test Marks 1 1 7 2 0 5 5 5 5 6 6 8 9 3 1 2 2 2 3 5 4 1 2 3 13b) Mode = 25 n = 20 4 1 means 41
14a) Number of Text Messages Sent Last Week 1 0 5 2 3 5 5 8 3 0 2 3 4 5 8 4 1 2 4 6 5 2 5 6 2 n = 19 6 2 means 62 14b) Median = 34 15a) Height of Plants 5 3 3 4 6 8 6 1 2 3 5 7 8 7 0 4 6 6 8 3 4 5 8 n = 19 15b) Median = 6 7 8 3 means 8 3 16) Number of Songs Downloaded to Phone 1 1 2 3 4 4 5 5 6 7 7 2 1 6 7 3 1 2 3 4 2 4 6 5 1 n = 20 5 1 means 51 17) Number of Books Downloaded 0 5 6 8 9 1 1 2 2 5 6 6 7 7 2 4 6 3 2 2 3 5 7 4 1 n = 20 4 1 means 41 18a) Range = Highest Lowest = 310 198 = 112 18b) Median = 250+260 = 255 2 19) Mean = total = 79 76 = 9 97 no.of values 8 20a) Mode = 10 20b) Medain = 24+28 = 26 2 20c) Range = Highest Lowest = 45 3 = 42
21a) P(yellow) = 3 15 = 1 5 21b) P(pink) = 6 14 = 3 7 22a) P(pink) = 3 25 22b) P(blue) = 7 24 23a) P(orange) = 4 10 = 2 5 23b) P(not red)= 10 13 24) P(greater than 9) = 5 14