Round each z-score to the nearest hundredth.
A data set has a mean of x = 4049 and a standard deviation of 103. Find the z-score for each of the following.
(a) x = 3840
(b) x = 4200
(c) x = 4300
(d) x = 4030
Solution :
Given ,
mean = = 4049
standard deviation = = 103
(A)x=3840
using z-score formula
z =X -/
z=3840-4049/103
z=-2.03
( B)
x=4200
using z-score formula
z =X -/
z=4200-4049/103
z=1.47
(C)
x=4300
using z-score formula
z =X -/
z=4300-4049/103
z=2.44
(D)
x=4030
using z-score formula
z =X -/
z=4030-4049/103
z=-018
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