Find the data values corresponding to the 30th Percentile. 2,4,5,6,7,8,8,9,10.
[tex]\underline{ \underline{{ \boxed{\boxed{ \orange{ \rm{ \bold{ANSWER:}}}}}}}} \\ [/tex]
[tex]\underline{ \underline{{ \boxed{\boxed{ \orange{ \rm{ \bold{FORMULA:}}}}}}}} \\ [/tex]
[tex] \boxed{ \rm{p _{30} = \frac{30}{100} + (n + 1)} }\\ [/tex]
[tex] \boxed{ \rm{n \: = 9}} \\ [/tex]
[tex]\underline{ \underline{{ \boxed{\boxed{ \orange{ \rm{ \bold{SOLUTION:}}}}}}}} \\ [/tex]
[tex] \rm{p _{30} = \frac{30}{100} + (n + 1) }\\ \rm{p _{30} = \frac{30}{100} + (9 + 1) }\\ \rm{p _{30} = \frac{30}{100} + 10 }\: \: \: \: \: \: \: \: \\ \rm{p _{30} = \frac{300}{100} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \underline{\boxed{ \rm{ \orange{p _{30} = 3}}}} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
[tex] \rm{p _{30} \: is \: the \: 3rd \: element. }\\ \rm{ therefore \: p _{30} = \underline {\underline{ \boxed{ \orange5}}} } \: \: \: \: \: \: \: [/tex]
Therefore, the data values corresponding to the 30th Percentile. 2,4,5,6,7,8,8,9,10 is 5.
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