a) Median score for Biology: 62, for Chemistry: 74. b) Interquartile range for Biology: 24, for Chemistry: 28. c) Chemistry exam is considered easier as its interquartile range (28) is greater than Biology's (24), indicating a wider spread of scores.
a) To estimate the median score for each exam, we look for the point where the cumulative frequency is 50%. For Biology, this occurs at a score of 62. For Chemistry, it occurs at a score of 74.
b) The interquartile range (IQR) for the scores in the Biology exam is given as 24.
c) To estimate the IQR for the Chemistry exam, we find the scores at the 25th percentile and 75th percentile and subtract them. The 25th percentile is 62, and the 75th percentile is 90. Therefore, the IQR for Chemistry is 90 - 62 = 28.
In conclusion, the Chemistry exam is considered easier based on the IQR comparison. The IQR for Chemistry (28) is greater than the IQR for Biology (24), indicating a wider spread of scores in the middle half of the Chemistry exam.
The complete question is:
Some students took a biology exam and a chemistry 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 24. b) Work out an estimate for the interquartile range of the scores in the chemistry exam. c) Which exam do you think was easier? Give a reason for your answer