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StatisticsHigherStatisticsEstimationExtrapolation

AQA GCSE · Question 02.2 · Statistics

Use the graph to estimate the number of houses with solar panels in 2023.

How to approach this question

1. Look at the trend of the graph, particularly the last few points. 2. Extend the line from the 2022 point to where 2023 would be on the x-axis. 3. Read the corresponding value from the y-axis. 4. Alternatively, calculate the increase between the last two years and add this to the 2022 value.

Full Answer

By extending the trend of the graph, a reasonable estimate for 2023 would be between 420 and 440. For example, the increase from 2021 to 2022 was 350 - 275 = 75. Assuming a similar increase, 350 + 75 = 425.
To estimate the value for 2023, we need to extrapolate from the existing data. This means we extend the pattern. One way is to look at the increase between 2021 and 2022. The number of houses increased from 275 to 350, which is an increase of 75. If we assume a similar increase for the next year, the estimate for 2023 would be 350 + 75 = 425. Another way is to draw a line of best fit or extend the last segment of the graph to 2023 and read the value. Any value in the range of 420 to 440 would be considered a reasonable estimate.

Common mistakes

✗ Simply guessing a number without referring to the graph's trend. ✗ Providing an exact number without showing any working or line on the graph. The question asks for an estimate. ✗ Calculating the average increase over all years instead of focusing on the more recent, steeper trend.

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