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6. Represent each of the following elevations using a rational number. Then, order the numbers from least to
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Answer:
Due to the higher z-score, she did better in the free throw category.
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:
She did better in the category that she had the higher z-score:
Free-throws:
Her free throw percentage was 79%, which means that
The team averaged 87% from the free throw line with a standard deviation of 12, which means that . So
Steals:
She had 4 steals, which means that
Averaged 7 steals with a standard deviation of 3, which means that . So
Due to the higher z-score, she did better in the free throw category.