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Some people took part in the first round of a competition - Edexcel - GCSE Maths - Question 17 - 2021 - Paper 2
Question 17
Some people took part in the first round of a competition. The histogram gives information about the scores of these people in the first round. 20% of the people g... show full transcript
Worked Solution & Example Answer:Some people took part in the first round of a competition - Edexcel - GCSE Maths - Question 17 - 2021 - Paper 2
Step 1
Find the total area under the histogram.
Answer
To find the total area under the histogram, calculate the area of each bar. The histogram is divided into bins for different score ranges. For each bin:
- From 0 to 10: area = width × height = 10 × 1 = 10
- From 10 to 20: area = 10 × 2 = 20
- From 20 to 30: area = 20 × 2 = 40
- From 30 to 40: area = 10 × 1 = 10
Total area = 10 + 20 + 40 + 10 = 80.
Step 2
Step 4
Estimate the score needed to qualify for the second round.
Answer
Since 20% of the total corresponds to the top scores, we need to find the score range that includes the top 16 participants. From the histogram, the top scores are those between 30 and 40. The total from the score ranges can help estimate:
- Scores of 30 to 40: total area = 20 (from the bar 30-40).
Therefore, to qualify, the score needed would be higher than 30, indicating that approximately the score needed to qualify is at least 30.