The x value for the third quartile for this distribution is 106.8
Z score
The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:
z = (x - μ) / σ
where μ is the mean, x = raw score and σ is the standard deviation.
Given μ = 100, σ = 10.
The third quartile correspond with a z score of 0.675, hence:
0.675 = (x - 100) / 10
x = 106.8
The x value for the third quartile for this distribution is 106.8
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