Answer :
Final answer:
The boxplot is incorrect as it fails to accurately represent the reported temperature data. It incorrectly shows the minimum, maximum, median, and first quartile temperatures which are crucial in understanding the concentration and spread of the temperature data.
Explanation:
The boxplot in question is incorrect based on the discrepancies between the given temperature values and what the boxplot displays. These anomalies can occur due to errors in measurement, calculation, or data recording. Let's go through each reported discrepancy:
A) The minimum temperature is reported as 42ºF, but the boxplot shows 46ºF: this indicates that the boxplot isn't accurately outlining the lower range of the data.
B) The maximum temperature is given as 60ºF, but the boxplot shows 66ºF: this discrepancy signifies that the boxplot isn't accurately capturing the upper range of the temperature data.
C) The median temperature is 53ºF, but the boxplot shows 52ºF: the median is the value that separates the higher half and the lower half of a data set, in this case, the temperature data. If this is incorrect, the boxplot isn't showing an accurate representation of the data distribution.
D) The first quartile temperature is listed as 50ºF, but the boxplot shows 53ºF: the first quartile separates the lowest 25% of the data. If this is misrepresented, then the boxplot isn't accurately conveying where 25% of the temperature values lie.
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