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The table gives information about the heights of 150 students - Edexcel - GCSE Maths - Question 17 - 2017 - Paper 2
Question 17
The table gives information about the heights of 150 students. Height (h cm) Frequency 140 < h ≤ 150 15 150 < h ≤ 155 30 155 < h ≤ 160 51 160 < h ≤ 165 36... show full transcript
Worked Solution & Example Answer:The table gives information about the heights of 150 students - Edexcel - GCSE Maths - Question 17 - 2017 - Paper 2
Step 1
Work out an estimate for the fraction of the students who have a height between 150 cm and 170 cm
Answer
To estimate the fraction of students with heights between 150 cm and 170 cm, follow these steps:
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Identify Relevant Frequencies: From the table, the frequencies are:
- 150 < h ≤ 155: 30 students
- 155 < h ≤ 160: 51 students
- 160 < h ≤ 165: 36 students
- 165 < h ≤ 180: 18 students (only heights up to 170 cm are considered)
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Total Students in Range:
- Thus, the total count for 150 cm to 170 cm: [ 30 + 51 + 36 = 117 ]
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Calculate Fraction of Students: We need to find the fraction of these students from the total of 150 students: [ \text{Fraction} = \frac{117}{150} \approx 0.78 \text{ or } 78% ]
Therefore, approximately 78% of the students have heights between 150 cm and 170 cm.