Chloe compares the growth of plant species A and B. Part A What do the box plots tell you about the growth of a typical plant of each species? Choose the correct response. Plant B typically grows 1 cm taller than Plant A, since the range for Plant B is 1 cm greater. Plant B typically grows 1 cm taller than Plant A, since the IQR for Plant B is 1 cm greater. Plant A typically grows 1 cm taller than Plant B, since the median for Plant A is 1 cm greater. Plant A typically grows 1 cm taller than Plant B, since the mean for Plant A is 1 cm greater.

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Answer:

Type A Type B

Median 52 grams 52 grams

Lower Quartile 49 grams 51 grams

Upper Quartile 57 grams 54 grams

Range 14 grams 8 grams

Interquartile Range 8 grams 3 grams

From this table we can see that both types of tomato have the same average mass because their medians are the same.

Comparing the medians and interquartile ranges shows that there is far more variation in the masses of the type A tomatoes, which means that the masses of type B are more consistent than those of type A.

However, comparing the two box and whisker plots, and the upper quartiles, shows that type A tomatoes will generally have a larger mass than those of type B.

Nevertheless, there will be some type A tomatoes that are lighter than any of type B.

Taking all this together, the gardener would be best advised to plant type A tomatoes in future as he is likely to get a better yield from them than from type B.

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