Question

Consider the chart below that describes the average student runner speeds. Find the percentile corresponding to the data below. 2 2.5 3 4 5 6 2.75 8 10 7 4 5.5 8 2 3.5 5.5 4 4.5 a. 2.75 mph b. 7 mph

ill give great comments and thumbs up really need the help

Answer 1

Here the data points are 2, 2.5, 3, 4, 5, 6, 2.75, 8, 10, 7, 4, 5.5, 8, 2, 3.5, 5.5, 4, 4.5

Let's first arrange them in ascending order of magnitude. Their order will be 2, 2, 2.5, 2.75, 3, 3.5, 4, 4, 4, 4.5, 5, 5.5, 5.5, 6, 7, 8, 8, 10.

Here I have underlined two values because we want to find the percentile corressponding to those values.

percentile of the score of any point is equal to,

Here, no. of data points below 2.75 is 3.

and no. of data points below 7 is 14.

Total no. of data point is 18.

therefore, percentile corresponding to 2.75 is, (3/19)*100 = 15.78947

and, percentile corresponding to 7 is, (14/19)*100 = 73.68421