(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. O 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 Explanation Check

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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:

$$
\text{Distance} = |\text{Mean A} - \text{Mean B}| = |6 - 6| = 0 \text{ ft}
$$

**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 equal if the distributions are similar.

The formula for MAD is:

$$
\text{MAD} = \frac{1}{n} \sum_{i=1}^{n} |x_i - \text{Mean}|
$$

Where $$ x_i $$ are the individual data points and $$ n $$ is the number of data points.

Since we don't have the individual data points, we cannot calculate the exact MAD values. If you provide the data points for Gardens A and B, I can calculate the MAD for each garden.

**Answer:**
MAD for Garden A: $$ \square \text{ ft} $$  
MAD for Garden B: $$ \square \text{ ft} $$

### Part (c)
**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 distance between the means is 0, it indicates that the means of both gardens are identical. This suggests that there is a complete overlap between the two data sets.

**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.
(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.

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