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The table shows the number of computers sold in Tom's shop each quarter from 2015 to 2017 - OCR - GCSE Maths - Question 8 - 2018 - Paper 5
Question 8
The table shows the number of computers sold in Tom's shop each quarter from 2015 to 2017. Quarter Number of computers sold 1 2 3 4 2015 31 33 29 25 2016 ... show full transcript
Worked Solution & Example Answer:The table shows the number of computers sold in Tom's shop each quarter from 2015 to 2017 - OCR - GCSE Maths - Question 8 - 2018 - Paper 5
Step 1
Complete this graph using the information for 2017.
Answer
To complete the graph, plot the number of computers sold for each quarter of 2017:
- Quarter 1: 41
- Quarter 2: 42
- Quarter 3: 47
- Quarter 4: 58
Ensure that the plotted points are correctly positioned based on the given values, and connect them with lines for clarity.
Step 2
Tom says The ratio of the total number of computers sold in quarter 1 compared to quarter 4 is 2 : 5. Is he correct? Show your reasoning.
Answer
To find the total number of computers sold in each quarter:
- Quarter 1 (2015 to 2017) = 31 + 27 + 41 = 99
- Quarter 4 (2015 to 2017) = 25 + 30 + 58 = 113
Next, we calculate the ratio: Ratio = Total in Quarter 1 : Total in Quarter 4 = 99 : 113. This simplifies to approximately 0.875 : 1. Since 2 : 5 is equivalent to 0.4 : 1, Tom is incorrect.
Step 3
Make two comments about Tom's sales over the period 2015 to 2017.
Answer
Comment 1: The sales were strongest in the 4th quarter across all three years, indicating a seasonal trend in computer sales.
Comment 2: There was an overall increase in sales from 2015 to 2017, especially noticeable in 2016, when sales peaked in quarter 2.
Step 4