Answer: The z-score for an ACT score of 26 is 0.17.
Step-by-step explanation:
Z-score:
In a set with mean and standard deviation , the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In a particular year, the mean score on the ACT test was 25 and the standard deviation was 5.9.
This means that
Find the z-score for an ACT score of 26.
This is Z when X = 26. So
The z-score for an ACT score of 26 is 0.17.
The z-score for an ACT score of 26 is 0.17.
What is z-score?
When assessed in terms of standard deviation units, a raw score's location in relation to its distance from the mean is indicated by a z-score. If a value is above the mean, the z-score is positive; if it is below the mean, it is negative.
In a set with mean and standard deviation , the z-score of a measure X is given by: z-score=(x-μ)/σ
How do you find z-score?
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In a particular year, the mean score on the ACT test was 25 and the standard deviation was 5.9.
This means that
We need to find z-score for an ACT score of 26.
This is Z when X = 26. So
The z-score for an ACT score of 26 is 0.17
Learn more about z-score,
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