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Answer :
Final answer:
To find the percentage of GMAT scores between 447 and 547, calculate the z-scores and use the standard normal distribution table.
Explanation:
To find the percentage of GMAT scores between 447 and 547, we need to calculate the z-scores for both values and use the standard normal distribution table. The formula to calculate z-score is z = (x - μ) / σ, where x is the value, μ is the mean, and σ is the standard deviation. In this case, the mean is 547 and the standard deviation is 100.
For 447: z = (447 - 547) / 100 = -1
For 547: z = (547 - 547) / 100 = 0
Using the standard normal distribution table, we can find the percentage corresponding to each z-score. The percentage of GMAT scores between 447 and 547 is the difference between the two percentages.
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