1. **State the problem:** We have a data set representing the number of pets owned by people: $0, 3, 6, 9, 12, 15$.
We need to find:
a) The least number of pets owned.
b) The median number of pets.
c) The interquartile range (IQR).
2. **Important definitions and formulas:**
- The least number (minimum) is the smallest value in the data set.
- The median is the middle value when the data is ordered. For an even number of data points, it is the average of the two middle numbers.
- The interquartile range (IQR) is the difference between the upper quartile (Q3) and the lower quartile (Q1):
$$\text{IQR} = Q_3 - Q_1$$
3. **Find the least number of pets:**
The data set ordered is already: $0, 3, 6, 9, 12, 15$
The least number is the first value:
$$\boxed{0}$$
4. **Find the median:**
Number of data points $n=6$ (even).
Median is the average of the 3rd and 4th values:
$$\text{Median} = \frac{6 + 9}{2} = \frac{15}{2} = 7.5$$
5. **Find the interquartile range (IQR):**
From the box plot, lower quartile $Q_1 = 3$, upper quartile $Q_3 = 9$.
Calculate:
$$\text{IQR} = 9 - 3 = 6$$
**Final answers:**
a) Least number of pets: $0$
b) Median number of pets: $7.5$
c) Interquartile range: $6$
Pets Stats 8483A3
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