High School

x~n(5.7, 0.61). Find the z-score corresponding to an observation of 4.7.

- (a) 1.64

- (b) -1.64

- (c) 1.02

- (d) -1.02

Answer :

The z-score corresponding to an observation is -1.64 and option b is the correct answer.

What is z-score?

The relationship between a value and a group of values' mean is described statistically by the Z-score. Standard deviations from the mean serve as the unit of measurement for Z-score. The score for a data point is equal to the mean score if the Z-score is 0. A result that deviates by one standard deviation from the mean is indicated by a Z-score of 1.0.

The z-score is given by the following formula:

z = 4.5 - 5.7/ 0.61

z = -1.64

Hence, the z-score corresponding to an observation is -1.64 and option b is the correct answer.

Learn more about z-score here:

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