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Which formula would you use to locate the jth decile for an individual (ungrouped) data set with n observations?

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Question

Which formula would you use to locate the jth decile for an individual (ungrouped) data set with n observations?

Options

  • \[j\times\frac{n}{10}\text{th observation}\]

  • \[j\times n\text{th observation}\]

  • \[\frac{n}{j\times10}\text{th observation}\]

  • \[j\times\frac{n+1}{10}\text{th observation}\]

MCQ
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Solution

\[j\times\frac{n+1}{10}\text{th observation}\]

Explanation:

For individual data, the position of a decile is found using \[j\times\frac{n+1}{10}\text{th observation}\] observation.​

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