Question

the dot plots display the height, rounded to the nearest foot, of maple trees from two different tree farms. 1. compare the mean and standard deviation of the two data sets. the means of the two data sets both equal 8 feet. the standard deviation of the first data set is less than the standard deviation of the second data set. 2. what does the standard deviation tell you about the trees at these farms? at the second farm, there is a wider range of heights than at the first farm, where the tree heights are closer to one another.

Explanation:

Step1: Analyze mean concept

The mean is the average value. By observing the dot - plots, we can calculate or estimate the mean. In this case, it is given that the means of the two data sets are equal (8 feet).

Step2: Analyze standard - deviation concept

Standard deviation measures the amount of variation or dispersion of a set of values. A smaller standard deviation indicates that the values tend to be closer to the mean, while a larger standard deviation indicates that the values are more spread out. Since the standard deviation of the first data set is less than the second, the values in the first data set are closer to the mean. For the second question, a wider range of heights in the second farm corresponds to a larger standard deviation, and in the first farm, where the standard deviation is smaller, the tree heights are closer to one another.

Answer:

1. The means of the two data sets both equal 8 feet. The standard deviation of the first data set is less than the standard deviation of the second data set.
2. At the second farm, there is a wider range of heights than at the first farm, where the tree heights are closer to one another.