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From the table below, give the percentile of a value of 84 (rounded to the nearest whole percentile) 52 28 23 84 51 68 84 represents the -th percentile

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Answer to a math question From the table below, give the percentile of a value of 84 (rounded to the nearest whole percentile) 52 28 23 84 51 68 84 represents the -th percentile

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Hank
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90 Answers
To find the percentile of the value 84, we first need to find the total number of values in the data set. In this case, there are 6 values in total.

Now, let's arrange the values in ascending order:
23, 28, 51, 52, 68, 84

Next, we need to find the rank of the value 84 in the ordered list:
Since 84 is the 6th value and there are a total of 6 values, the rank of 84 is 6.

The next step is to calculate the percentile using the formula:
\text{Percentile} = \left( \frac{{\text{Rank} - 0.5}}{{\text{Total number of values}}} \right) \times 100

Substitute the values into the formula:
\text{Percentile} = \left( \frac{{6 - 0.5}}{6} \right) \times 100 = \left( \frac{5.5}{6} \right) \times 100 = 0.9167 \times 100 = 91.67\%

Rounded to the nearest whole percentile, the value 84 is the 92nd percentile.

Therefore, 84 represents the 92nd percentile.

\boxed{92}

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