Question

nearest whole percentile. 460, 514, 450, 848, 545, 448, 499 send data to excel part 1 of 8 the percentile rank of the value 460 is 36 part 1 / 8 part 2 of 8 the percentile rank of the value 514 is

Explanation:

Step1: Sort the data

First, sort the data set $\{460, 514, 450, 848, 545, 448, 499\}$ in ascending - order: $\{448, 450, 460, 499, 514, 545, 848\}$. There are $n = 7$ data points.

Step2: Calculate the percentile - rank formula

The formula for the percentile rank of a value $x$ is $PR=\frac{c}{n}\times100$, where $c$ is the number of values less than or equal to $x$ and $n$ is the total number of values.
For $x = 514$, the number of values less than or equal to $514$ is $c = 5$.

Step3: Compute the percentile rank

Substitute $c = 5$ and $n = 7$ into the formula: $PR=\frac{5}{7}\times100=\frac{500}{7}\approx71.43$. Rounding to the nearest whole percentile, we get $71$.

Answer:

$71$