1. **State the problem:** We have a data set of camera prices: 28, 44, 108, 36, 59, 71, 66. We need to find the ordered data, minimum, maximum, median, quartiles, interquartile range (IQR), and interpret the IQR.
2. **Order the data from least to greatest:**
$$28, 36, 44, 59, 66, 71, 108$$
3. **Minimum price:** The smallest value in the ordered data is $28$.
4. **Maximum price:** The largest value in the ordered data is $108$.
5. **Median price:** The median is the middle value of the ordered data. Since there are 7 values, the median is the 4th value:
$$59$$
6. **Median of the first half (first quartile, Q1):** The first half is the data below the median:
$$28, 36, 44$$
The median of this subset is the middle value, which is:
$$36$$
7. **Median of the second half (third quartile, Q3):** The second half is the data above the median:
$$66, 71, 108$$
The median of this subset is the middle value, which is:
$$71$$
8. **Interquartile range (IQR):** The IQR is the difference between Q3 and Q1:
$$\text{IQR} = Q3 - Q1 = 71 - 36 = 35$$
9. **Interpretation of IQR:** The IQR of 35 is relatively large compared to the data values, indicating a wide spread in the middle 50% of the data. This means the prices vary significantly among the central values.
**Final answers:**
- Ordered data: $28, 36, 44, 59, 66, 71, 108$
- Minimum: $28$
- Maximum: $108$
- Median: $59$
- First quartile (Q1): $36$
- Third quartile (Q3): $71$
- Interquartile range (IQR): $35$
- IQR interpretation: Relatively large, indicating a wide spread in prices.
Camera Prices 98Af95
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