Calculate the standard score of the given X value, X=89.7, where μ=88.2 and σ=89.4 and indicate on the curve where z will be located. Round the standard score to two decimal places.
Solution :
mean =
= 88.2
standard deviation =
= 6
X = 89.7
Using z-score formula,
Z = X - /
= 89.7 - 88.2 / 89.4
= 1.5 / 89.4
= 0.02
Z = 0.02
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