Answer :
Deciles are 61.3 and 67.7
What are deciles?
Deciles are measures of position calculated on a set of data. The deciles are the values that separate a distribution into ten equal parts, where each part contains the same number of observations). The decile is a member of the wider family of quantiles.
Given:
Normal distribution =64.5 inches
Standard deviation=σ =2.5 inches
So, here the z- score for left decile= -1.28
and for right decile= +1.28
we know,
z= x-[tex]\mu[/tex]/σ
x= zσ + [tex]\mu[/tex]
x=-1.28*2.5 + 64.5
x= 61.3 and,
x= 1.28*2.5 + 64.5
x=67.7
hence, the deciles are 61.3 and 67.7
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