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Answer:
Due to the higher z-score, Jane did better in class.
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 this question:
Whoever's grade had the better z-score did better in class.
Mary's:
Mean of 85, standard deviation of 5, grade of 88. This means that . So
Jane's
Mean of 80, standard deviation of 10, grade of 88. This means that . So
Due to the higher z-score, Jane did better in class.
[ Answer ]
[ Explanation ]
- Change
To Percent
-------------------------------------
Is The Same As 5 ÷ 2
- Divide
5 ÷ 2 = 2.5
- Convert Decimal To Percentage
2.5 · 100 = 250
- Final Answer
250%