Question

The weights (in pounds) of 30 newborn babies are listed below. Find p16. 5.5 5.7 5.8 6.0 6.1 6.1 6.3 6.4 6.5 6.6 6.7 6.7 6.7 6.9 7.0 7.0 7.0 7.1 7.2 7.2 7.4 7.5 7.7 7.7 7.8 8.0 8.1 8.1 8.3 8.7

Answer 1

P16= 6.1

Explanation:

We have given:

The weights (in pounds) of 30 newborn babies are listed below. Find p16. 5.5 5.7 5.8 6.0 6.1 6.1 6.3 6.4 6.5 6.6 6.7 6.7 6.7 6.9 7.0 7.0 7.0 7.1 7.2 7.2 7.4 7.5 7.7 7.7 7.8 8.0 8.1 8.1 8.3 8.7

To find the P(16) first we have to sort out our data.

Our data is already in sorted form.

Now apply the formula to find the P16 which means 16th percentile.

P(n)/100

where P= 16

and n = 30

=16(30)/100

=480/100

= 4.8 ≈ 5

If you round it to 5 you get P16 = 6.1....

Answer 2

`P_(16) = 6.1`

Explanation:

A percentil can be defined as a "partition" of the data set in 100 parts. Its formula is

`P_(k)=(kN)/(100)`

Where
`k` is the position of the percentil we want to find and
`N` is the total number of elements.

`P_(16)=(16(30))/(100)=4.8`

This is the position of the percentil number 16, which is fifth position.

Therefore,
`P_(16) = 6.1`