Find the 55th Percentile Point

Input your answer using 3 decimal places

Question

Find the 55th Percentile Point

Input your answer using 3 decimal places

BlackTom AI · Accepted Answer

The question asks: 'Find the 55th Percentile Point. Input your answer using 3 decimal places.'

First, note that there are no data values provided in the prompt. Without the underlying dataset, we cannot compute any percentile or verify a numeric result. In practice, computing the 55th percentile requires the actual data set to sort or an agreed method for percentile calculation.

General method you would use when data are available:
- Step 1: Collect all data points and ensure they are in a numerical, sortable form.
- Step 2: Decide on a convention for percentile calculation. Common approaches include the nearest-rank method and linear interpolation between order statistics. The exact method can affect the result slightly.
- Step 3: Sort the data from smallest to largest.
- Step 4: Compute the position corresponding to the 55th percentile. In the nearest-rank approach, the formula is k = ceil(p * n), where p is the percentile (0.55) and n is the number of data points, then take the k-th value in the sorted list. In interpolation-based methods, you compute a fractional index i = p*(n+1) and interpolate between the surrounding data points as needed.
- Step 5: If the method yields a non-integer index, perform linear interpolation between the two nearest ranks to obtain a continuous percentile value.
- Step 6: Round the final answer to three decimal places as requested, using standard rounding rules (three decimal places, e.g., 5.083).

Because the dataset is missing here, we cannot perform these steps to produce a numeric 55th percentile. If you supply the data values (or confirm the percentile calculation method to use), I can walk through the exact computation and show how to arrive at a value like 5.083 or another result depending on the data and method.

If the provided answer is 5.083, note that whether this is correct depends entirely on the underlying data and the chosen percentile convention. Different conventions can yield slightly different results for percentiles, especially with small to moderate sample sizes.

In summary, to verify or reproduce a 55th percentile value, you need the dataset and a specified percentile calculation rule; with those, you would follow sorting, locating the appropriate position, interpolating if necessary, and then rounding to three decimals.

BU-STAT-2103-751-49510-202503 Percentile Points and Percentile Ranks Assignment

Find the 55th Percentile Point Input your answer using 3 decimal places

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