Based on the results of a nationwide study, the number of contacts programmed into cell phones are summarized on the following boxplot:Which interval contains the greatest amount of data?
Question
Based on the results of a nationwide study, the number of contacts programmed into cell phones are summarized on the following boxplot:Which interval contains the greatest amount of data?
Solution
To determine which interval contains the greatest amount of data, we need to analyze the boxplot provided.
A boxplot is a graphical representation of the distribution of data, showing the minimum, first quartile, median, third quartile, and maximum values. The length of the box represents the interquartile range (IQR), which contains the middle 50% of the data.
In this case, we can observe that the boxplot has multiple intervals or "boxes" representing different ranges of data. To identify the interval with the greatest amount of data, we need to look for the boxplot with the largest box or the widest IQR.
By comparing the widths of the boxes, we can determine which interval contains the greatest amount of data. The wider the box, the more spread out the data is within that interval.
Therefore, by visually inspecting the boxplot, we can identify the interval with the widest box or the largest IQR as the one that contains the greatest amount of data.
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