Answer:
Duncan height is closest to the mean
Step-by-step explanation:
From the question we are told that
Given that the height of 3-year-old boys is approximately normally distributed then the mean will be the [tex]50^{th}[/tex]
Hence comparing Duncan height which is in the [tex]32^{nd}[/tex] percentile and Shane height which is in the [tex]62^{nd}[/tex] percentile with the mean height which is in the [tex]50^{th}[/tex]
i.e
[tex]50 -32 = 18[/tex]
and
[tex]62 - 50 = 12[/tex]
We see that Duncan height is closest to the mean
