Some students took a biology exam and a physics exam. Information about their scores is shown in the cumulative frequency diagram below.
a) Work out an estimate for the median score in each exam.
The interquartile range for the scores in the biology exam is 20 .
b) Work out an estimate for the interquartile range of the scores in the physics exam.
c) Which exam do you think was easier? Give a reason for your answer.
Exam results
Key
--- Biology
- Physics
Answer
Determine which exam was easier by comparing the median scores and interquartile ranges. A higher median score or a smaller interquartile range might indicate that the exam was easier. However, without the actual data or the diagram, we can't make a definitive conclusion about which exam was easier. \( \boxed{\text{Final Answer}} \)
Step 1 ：Estimate the median score for each exam by finding the middle value of the scores on the cumulative frequency diagram, where the curve reaches half of its maximum value.
Step 2 ：Estimate the interquartile range for the physics exam by finding the difference between the scores at the 75th percentile (Q3) and the 25th percentile (Q1) on the cumulative frequency diagram for the physics exam.
Step 3 ：Determine which exam was easier by comparing the median scores and interquartile ranges. A higher median score or a smaller interquartile range might indicate that the exam was easier. However, without the actual data or the diagram, we can't make a definitive conclusion about which exam was easier. \( \boxed{\text{Final Answer}} \)
