On solving the provided question we can say that - so, the required minimum score is that - 11.28
Standard deviation, or variance in a collection of values, is a measure of variation or variance in statistics. A low standard deviation suggests that the values are more likely to be close to the set's mean, whereas a large standard deviation suggests that the values are widely dispersed. The standard deviation, abbreviated as, expresses how much the data deviate from the mean. When the standard deviation is low, the data tend to be grouped around the mean, but when the standard deviation is large, the data are dispersed more widely. The mean variation in the dataset is known as the standard deviation. It lets you know how far out from the mean each score is on average.
Given mean
µ = 10 , σ = 1\\
[tex]P( X \geq x) = 0.90\\P(Z \geq x) = 0.90\\P( Z < z) = 0.10\\Z score for 0.90, z =NORMSINV(0.10) = 1.28 \\X =µ+zσ = 10+1.28*1 = 11.28[/tex]
so, the required minimum score is that - 11.28
To know more about standard deviation visit:
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