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Which percentile equals D7?...

Which percentile equals `D_7`?

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To find which percentile equals \( D_7 \) (the seventh decile), we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Definitions**: - A **percentile** divides a dataset into 100 equal parts. For example, the 70th percentile means that 70% of the data falls below this value. - A **decile** divides a dataset into 10 equal parts. Therefore, each decile represents 10% of the data. 2. **Identify the Meaning of \( D_7 \)**: - \( D_7 \) refers to the seventh decile. This means it is the value below which 70% of the data falls. 3. **Convert Decile to Percentile**: - Since each decile represents 10% of the data, the seventh decile \( D_7 \) corresponds to 70% of the data. - Therefore, \( D_7 \) is equivalent to the 70th percentile. 4. **Conclusion**: - Thus, we can conclude that \( D_7 \) equals the 70th percentile. ### Final Answer: The percentile that equals \( D_7 \) is the **70th percentile**.
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