Subjects statistics

Middle Range C5Bdeb

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Question: The histogram shows the number of goals scored by a soccer team in all their $$34$$ matches. The range of middle $$18$$ scores is Based on this middle range, the data appear.
1. **State the problem:** We are given the number of goals scored by a soccer team in $$34$$ matches and asked to find the range of the middle $$18$$ scores. 2. **Understanding the middle $$18$$ scores:** Since there are $$34$$ matches, the middle $$18$$ scores correspond to the scores from the $$9^{th}$$ to the $$26^{th}$$ match when the scores are arranged in ascending order. 3. **Range formula:** The range of a data set is given by $$\text{Range} = \text{Maximum value} - \text{Minimum value}$$. 4. **Find the minimum and maximum of the middle $$18$$ scores:** Identify the $$9^{th}$$ score (minimum) and the $$26^{th}$$ score (maximum) from the ordered data. 5. **Calculate the range:** Subtract the minimum middle score from the maximum middle score. 6. **Interpretation:** Based on the range of the middle $$18$$ scores, we can comment on the spread or variability of the central portion of the data. *Note:* Since the exact scores are not provided, the numerical range cannot be calculated here. However, the method above explains how to find the range of the middle $$18$$ scores and interpret the data spread.