Unit 7 Averages and range 3 These are the amounts that Anya earned in the last 6 weeks. £86 £94 £110 £80 £75 £88 Calculate Anya’s mean weekly wage. 4 Here are the number of goals scored by Tom’s hockey team in the first few games of the season. 2 0 3 1 5 2 0 4 Work out the mean number of goals scored. 5 Communication Here are the numbers of runs scored by two cricketers in three matches. Ellie: 35, 40, 36 Sam: 62, 0, 34 a Who had the highest score in a match? Q5c communication hint b Work out the range of scores for Ellie and for Sam. Consistent means more or less the same every time. c Whose results are the most consistent? Results are more consistent d Who had the highest mean score? when the range is small. e Who would you pick for your team? Explain why. 6 Kyle and George both play for a cricket team. Here are the numbers of runs that Kyle made in the last five matches. 18 53 19 14 62 In the last five matches, George scored a mean of 31.6 runs with a range of 21. a Who scored more runs? Explain your answer. Q6b hint Compare the b Who is the more consistent player? Explain your answer. ranges. 7 The table shows the number of Valentines cards a group of boys claimed to have received. Number of cards 1 Frequency 8 2 5 3 4 3 2 Q3 hint Follow the method as in Q2. Round your answer to the nearest penny. Number of cards × frequency 1×8= 2×5= Total a i How many boys claimed to have received 1 card? ii How many cards did these boys claim to receive in total? b i How many boys claimed to have received 2 cards? ii How many cards did these boys claim to receive in total? c Copy and complete the table. d How many boys, in total, were in the group? e How many cards did all the boys claim to receive in total? f Work out the mean number of cards the boys claimed to receive. 8 Q7d hint The frequency column shows the total numbers of boys. Q7f hint Mean = total number of cards ÷ total number of boys. This table shows the number of new tyres fitted to cars at a garage during one week. Number of tyres 1 2 3 4 Total Frequency 10 16 5 8 Number of tyres × frequency a How many cars in total had tyres fitted? b How many tyres were fitted altogether? c Work out the mean number of tyres fitted per car. 200 Q4 hint Make sure that you count the zero scores. Q8 strategy hint Read the question carefully and then look at the table. How many cars had 1 tyre fitted? What about 2 tyres?