Question

the box plots show the heights of sunflower plants in a random sample of 40 plants from field a and a random sample of 40 plants from field b. which field typically has shorter plants? explain. field b typically has shorter plants. you can tell because the median of its sample is less than that of the other field. which sunflower field has plants with more consistent heights? explain. field? typically has plants with more consistent heights. you can tell because the? of its sample is? that of the other field.

Explanation:

Step1: Understand the concept of consistency in box - plots

Consistency in data (in the context of box - plots) is related to the spread of the data. A smaller spread (inter - quartile range, IQR) indicates more consistent data. The inter - quartile range is calculated as \(IQR = Q3 - Q1\), where \(Q1\) is the first quartile and \(Q3\) is the third quartile.

Step2: Analyze the box - plots

Looking at the box - plots for Field A and Field B:

• For Field A, the box (which represents the inter - quartile range) is shorter.
• The inter - quartile range of Field A's sample is less than that of Field B's sample.

Answer:

Field A typically has plants with more consistent heights. You can tell because the inter - quartile range of its sample is less than that of the other field.