contestada

Students taking a make-up test receive the following grades: 96, 80, 71, 68, 81, 75, 85, 95, 72, and 66. Which grade has a percentile rank of 30?The test score with a percentile rank of 30 is

Respuesta :

It is given that the grades are:

[tex]96,80,71,68,81,75,85,95,72,66[/tex]

Arrange the data in ascending order to get:

[tex]66,68,71,72,75,80,81,85,95,96[/tex]

Use the formula to get the data point.

[tex]D=\frac{np}{100}[/tex]

Here n is total number of data points, p is the percentile needed so it is 30 in this case and n=10 so it follows:

[tex]D=\frac{10\times30}{100}=3[/tex]

So the third data point will be the 30th percentile of the data.

Hence the data point is 71.