PART 3 AUTUMN. first half UNIT 4 HANDLING DATA. Bar charts and bar line graphs SECTION 1. Charts and tables SECTION 2. Mode and range SECTION 3

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1 PART AUTUMN first half HANDLING DATA SECTION Bar charts and bar line graphs SECTION Charts and tables SECTION Mode and range CROWN COPYRIGHT 00

2 SUGGESTED TIME HANDLING DATA hours TEACHING OBJECTIVES Solve problems by representing and interpreting data on a bar chart and bar line graph: axes in s, s, 0s, 0s, 00s. Extract information from tables and charts. Find the mode of a small data set. Find and use the range of a set of values. SECTION Bar charts and bar line graphs SECTION Charts and tables SECTION Mode and range HOMEWORK The Star Challenges are suitable as homework activities. Topical issues can provide a source of data interpretation exercises. Practise mental arithmetic skills. CROWN COPYRIGHT 00

3 PART CHECKLIST Unit Checklist for pupils Bar charts and bar line graphs You will: read data from bar charts and bar line graphs Charts and tables You will: read data from other kinds of charts and tables Mode and range You will: find the mode and range of sets of data CROWN COPYRIGHT 00

4 SECTIONS AND : BAR CHARTS AND LINE GRAPHS CHARTS AND TABLES DIRECT TEACHING POINTS These two sections focus on reading information, calculating with the information and interpreting data rather than drawing graphs. You need to teach pupils how to read two-way tables, for example, Star Challenge. The exercises may be supplemented or replaced with topical examples drawn from newspapers and magazines. Examples involving interpretation of data are also suitable for class or group discussion use OHP to display the graphs and questions. Explain frequency as the number of times an event occurs give examples. KEY TO VOCABUL ARY LEAR USE AND frequency bar chart line graph bar line graph CROWN COPYRIGHT 00

5 PART SECTION Bar charts LOTTA BOTTLE and bar line graphs Lotta bottle Milk delivered to school canteen 0 number of pints 8 This is a bar chart. 0 Mon Tues Wed Thurs Fri day of the week Answer the following: On which day is most milk delivered? How much is delivered on Friday? How much is delivered on Tuesday? Complete this table: Day Mon Tue Wed Thur Fri Number of pints CROWN COPYRIGHT 00 The school pays 0p a pint for the milk. What is the canteen s milk bill each week? Why would you expect less milk to be delivered on a Friday?

6 PART SECTION Bar charts and bar line graphs The dice-rolling experiment Malika and Susan did an experiment with a dice. They rolled the dice lots of times and kept a record of the score each time. Dice-rolling experiment 0 0 number of throws score This is a bar line graph. Which number was thrown most often? How many times was this number thrown? Which number was thrown the least? Complete this table: Score Frequency How many times was the dice rolled? Is this a 'fair' dice? Explain your answer CROWN COPYRIGHT

7 PART SECTION Bar charts and bar line graphs CHALLENGE! Space probe 8 9 correct marks = star stars 0 marks star Successful space missions Unsuccessful space missions number of successful missions year number of missions which crashed year In which year were there only five successful missions? ( mark) How many successful missions were there in 0? ( mark) How many crashes were there in 0? ( mark) What was the total number of missions in 0? ( mark) Copy and complete this table: (8 marks) Year Successful missions Crashed missions Total number of missions CROWN COPYRIGHT 00 7 In which year was there the least number of crashes? What was the most unsuccessful year for the space probe? ( mark) ( mark)

8 PART SECTION Charts and tables May days May M T W Th F S Su Look at the calendar and answer the following questions: What day is 9 May? Ahmed gets his pocket money on Saturdays. How many times will he get his pocket money during this month? What is the date of the third Monday of the month? What day will June be? There is a school holiday on 7 May. Half term is the week marked with a long box: 7 How many days should you go to school this month? Monday is the first day of the week. How many complete weeks are there in this May? What is the date on the second Saturday after May? Mary pays 0 rent every Wednesday. How much rent does she pay this May? CROWN COPYRIGHT 00 8

9 PART SECTION Charts and tables! CHALLENGE Second-hand cars This table shows the prices of second-hand cars of different ages and different makes. correct star Make Vauxhall VW Ford Mazda Renault Year Astra Golf Escort Look at the chart and answer the following questions: How much would you pay for a 99 Mazda? How much would you pay for a 997 Golf? Linda has 000 to spend. What year is the newest Ford Escort that she can buy? Which of these cars is the most expensive 99 model? Which of these cars is the most expensive 998 model? CROWN COPYRIGHT 00 Estimate how much a 99 VW Golf might cost. Explain your answer

10 PART SECTION Charts and tables! CHALLENGE How many miles? 7 marks star This table shows the distances in miles between five towns. Exeter Plymouth Taunton Penzance Exeter 8 Plymouth 7 78 Taunton 7 7 Penzance Bristol 8 9 Look at the chart and answer the following questions: Bristol How many miles is it from Taunton to Penzance? ( mark) How many miles is it from Exeter to Bristol? ( mark) Which two of these towns are furthest apart? ( mark) Scott drives from Plymouth to Exeter. He then drives from Exeter to Taunton and finally back to Plymouth. Work out the total distance he drives. ( mark for answer, marks for correct working out) Show your working: Total distance: CROWN COPYRIGHT 00 0

11 SECTION : MODE AND RANGE DIRECT TEACHING POINTS Explain the meaning of mode. Emphasise that it is a value from the data the most common one. Show examples of single mode, two modes (bimodal) etc. Explain range and illustrate the calculation many pupils describe range as 7 to instead of 8 ( 7). Pupils need to realise that range measures how spread out the data is. Revise all mental work. EY TO VOCABUL ARY Kmode range LEAR USE AND CROWN COPYRIGHT 00

12 PART SECTION Mode and range The mode Example red, green, green, blue. The mode is 'green'. GUESS WHAT? The mode is the most common value. Find the mode of each set: 7 mode = red green orange red mode = mode = bird dog cat dog dog cat mode = Example It is possible to have two modes., 7, 7, 8, 8, There are two modes. The modes are 7 and 8. Example It is possible to have no mode.,, 7, 7, 8, 8,, There is no mode. All values are equally common mode = mode = pink yellow blue pink green mode = tiger lion tiger elephant lion mode = mode = mode = CROWN COPYRIGHT 00

13 PART SECTION Mode and range The range Example Work out the range of this set:, 7, 7, 8, 8, Range = largest smallest 8 GUESS WHAT? Work out the range of each set: range = range = range = range = Work out the mode and range of each set: mode = range = mode = range = mode = range = mode = range = mode = range = mode = range = This chart shows the number of pairs of Bovva Boots sold last week in different sizes: 7 Work out: CROWN COPYRIGHT sizes 0 (a) the most common size of boots (the mode) that were sold last week (b) the range of sizes sold number of pairs of boots sold

14 PART SECTION Mode and range CHALLENGE! Reading from tables and charts Some Year 7 pupils were asked which animal they would not like to meet. Here is what they said: correct stars 8 0 correct star Worst Number animal of pupils Snake 8 Tiger Shark Bear Spider 0 Wolf 7 (a) How many pupils chose 'shark'? (b) How many pupils were asked? (c) What was the most common choice (the mode)? Some Year 7 pupils were asked which maths teacher told the worst jokes. The pie chart shows their choices. (a) Which teacher was chosen the least? (b) Which teacher was chosen by the most pupils (the mode)? Mrs Young Mr Chesters Mrs Osborne Mr Law Mr Hatton Some Year 7 pupils were asked how many children there were in their family. Family sizes (a) How many families have two children? number of families (b) How many families have eight children? (c) What is the mode? CROWN COPYRIGHT number of children in family (d) What is the range of family sizes?

15 PART SECTION Mode and range CHALLENGE! Working with mode and range Class 7XY did a survey of the price of a tin of beans in the local shops. All correct star The prices were: p p p 7p p p p p Work out: (a) the modal price (the mode) (b) the range of prices During the twelve days of Christmas, the midday temperatures in o C were: 0 0 Work out: (a) the modal temperature (the mode) (b) the temperature range CROWN COPYRIGHT 00

16 PART ANSWERS Unit Answers Section Bar charts and bar line graphs Lotta bottle Monday pints 9 pints Day Mon Tue Wed Thur Fri Number of pints 9.0 Before weekend when there is no school. The dice-rolling experiment 0 Score Frequency No would expect roughly same number of each score. Section Charts and tables May days Wednesday May Sunday 7 days 7 9 May 8 00 Section Mode and range The mode red dog and no mode 7 pink 8 tiger and lion 9 no mode 0 and The range 8 mode =, range = mode = 8, range = 7 mode =, range = 8 mode =, range = 9 mode = 8 and 9, range = 0 no mode, range = (a) 9 (b) CROWN COPYRIGHT 00

17 PART ANSWERS Unit Answers! CHALLENGE Star Challenge answers Space probe 0 7 marks stars 0 marks star Year Successful missions Crashed missions 7 Total number of missions 8 8! CHALLENGE CHALLENGE!! CHALLENGE Second-hand cars Vauxhall Astra Mazda about 00 How many miles? 7 miles 8 miles Penzance and Bristol Reading from tables and charts (a) (b) (c) spider (a) Mr Law (b) Mr Hatton (a) (b) (c) (d) 7 correct star 7 marks star = miles correct stars 8 0 correct star CHALLENGE! Working with mode and range (a) p (b) p (a) o C (b) 0 o C All correct star CROWN COPYRIGHT 00 7

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