1. **State the problem:** Find the interquartile range (IQR) of Test #1 scores and interpret it.
2. **Recall the formula:** The interquartile range is calculated as $$\text{IQR} = Q_3 - Q_1$$ where $Q_1$ is the first quartile (25th percentile) and $Q_3$ is the third quartile (75th percentile).
3. **Identify the data:** From the description, Test #1 scores range from 65 to 100, centered around 85, skewed left.
4. **Find $Q_1$ and $Q_3$:**
- $Q_1$ is the median of the lower half of the data.
- $Q_3$ is the median of the upper half of the data.
5. **Calculate $Q_1$ and $Q_3$:**
Assuming the data is sorted, find the values at 25% and 75% positions.
6. **Calculate IQR:**
$$\text{IQR} = Q_3 - Q_1$$
7. **Interpretation:** The IQR represents the range of the middle 50% of the scores, showing the spread of the central half of the data.
Since exact data points are not provided, the exact numeric IQR cannot be calculated here, but the method above explains how to find and interpret it.
Interquartile Range 2874E0
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