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Question
maya is studying the effects of different fertilizers on bean plants. she gives half of her plants brand a fertilizer and the other half brand b fertilizer. after 3 weeks, maya measures the height of every plant. these box plots show the results. bean plant heights (inches) brand a brand b what percentage of the plants given brand a fertilizer have heights less than or equal to the median height of plants given brand b fertilizer? %
Step1: Identify median of Brand B
The line inside the box - plot of Brand B represents the median. From the box - plot, the median height of Brand B plants is 16 inches.
Step2: Analyze Brand A box - plot
In a box - plot, the median divides the data into two halves. For Brand A, we need to find what percentage of data is less than or equal to 16 inches. The median of Brand A is around 14 inches. The lower half of the data in a box - plot represents 50% of the data. Since 16 inches is greater than the median of Brand A, and the lower half of the data in a box - plot is 50%, and some values in the upper half of Brand A data are also less than 16 inches. Looking at the box - plot, we can estimate that about 75% of Brand A plants have heights less than or equal to 16 inches.
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