Question

which value separate 4% lowest weights from the rest of the values (i.e. find percentile)

1.74 210.4. 217.3. 105. 245.

Answer 1

I assume that given data set is 1.74, 210.4 , 217.3, 105, 245

We are asked to find the value that separates 4% lowest weight from the rest , that is we are asked to find 4^th percentile.

k^th percentie =  Observation in the ordered data set.

Here we are asked to find  4^th percentile , therefore here k = 4

Let us first arrange the data set in ascending order.

1.74, 105 , 210.4 , 217.3 , 245

There are 5 observations in the given data set.so n = 5

4^th percentile = Observation in the ordered data set.

= 0.2 1^st observation in the ordered data set.

So 1.74 is the value that separates 4% lowest weight from the rest of the values.