Question

the data below give the age of a random sample of 18 student calculate the percentile rank of 48 and the 32 round solution to one decimal place

Answer 1

Let's use the formula

`(x+0.5y)/(n)\cdot100`

In the first case of 48, we have x = 14, y = 4, and n = 18.

`(14+0.5\cdot4)/(18)\cdot100=(14+2)/(18)\cdot100=(16)/(18)\cdot100=88.9`

The percentile rank of 48 is 88.9%.

Now, let's apply the same process for 32. In this case, x = 6, y = 1, and n = 18. Let's use the formula

`(x+0.5y)/(n)\cdot100=(6+0.5\cdot1)/(18)\cdot100=(6.5)/(18)\cdot100=36.1`

The percentile rank of 32 is 36.1%.

Remember that x represents the number of students below the value, y represents the frequency of the value and n represents the total number of students.