Isabel says that 0.02 can be expressed as 20%. Is she correct? Explain why or why not.
1 answer:
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Answer:
Due to the higher Z-score, Kamala had the best GPA when compared to other students at her school.
Step-by-step explanation:
Z-score:
In a set with mean and standard deviation
, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
In this question:
Whichever student's GPA had the higher z-score had the best GPA compared to other students.
Thuy 2.5 3.2 0.8
This means that
The z-score is:
Vichet 88 75 20
This means that
The z-score is:
Kamala 8.9 8 0.4
This means that
The z-score is:
Due to the higher Z-score, Kamala had the best GPA when compared to other students at her school.