(a) The mean for both Garden A and Garden B is 6 feet. Find the distance between the means of Garden A and Garden B . Distance between the means: \( \square \mathrm{ft} \) (b) Find the mean absolute deviation (MAD) for each garden. MAD for Garden \( \mathrm{A}: \square \mathrm{ft} \) MAD for Garden B: \( \square \mathrm{ft} \) (c) Fill in the blank below to express the distance between the means as a multiple of the MAD of either data set. Distance between the means = \( \square \) times the MAD (d) Look at the degree of overlap between the data sets. Also look at your answer from part (c). Then select the best choice below. There is a complete overlap and the distance between the means is 0 . There is a complete overlap and the distance between the means is xplanation Check

To solve the problem, let's break it down step by step. ### Part (a) **Known Conditions:** - Mean of Garden A = 6 feet - Mean of Garden B = 6 feet **Calculation:** The distance between the means of Garden A and Garden B can be calculated as follows: \[ \text{Distance} = |\text{Mean A} - \text{Mean B}| = |6 - 6| = 0 \text{ feet} \] **Answer:** Distance between the means: \( 0 \text{ ft} \) ### Part (b) **Mean Absolute Deviation (MAD) Calculation:** To find the MAD for each garden, we need the individual data points for Gardens A and B. However, since the means are the same, we can assume that the MADs will also be calculated based on the same data distribution. The formula for MAD is: \[ \text{MAD} = \frac{1}{n} \sum_{i=1}^{n} |x_i - \text{Mean}| \] Where \( x_i \) are the data points and \( n \) is the number of data points. Since we do not have the specific data points for Gardens A and B, we cannot calculate the exact MAD values. If you provide the data points, I can calculate the MAD for both gardens. **Answer:** MAD for Garden A: \( \square \text{ ft} \) MAD for Garden B: \( \square \text{ ft} \) ### Part (c) **Expressing the Distance between the Means as a Multiple of the MAD:** Since the distance between the means is 0, we can express this as: \[ \text{Distance between the means} = 0 \times \text{MAD} \] Thus, the answer is: Distance between the means = \( 0 \) times the MAD ### Part (d) **Degree of Overlap:** Since the means of both gardens are the same (6 feet), there is a complete overlap in terms of the central tendency of the data sets. The distance between the means is 0, indicating that they are perfectly aligned. **Best Choice:** There is a complete overlap and the distance between the means is 0. ### Summary of Answers: (a) Distance between the means: \( 0 \text{ ft} \) (b) MAD for Garden A: \( \square \text{ ft} \) MAD for Garden B: \( \square \text{ ft} \) (c) Distance between the means = \( 0 \) times the MAD (d) There is a complete overlap and the distance between the means is 0.