Standardized test score that represents 70th percentile is 86.
Percentile is a comparison score between someone's score and the scores of the rest of the group. It tells the percentage of surpassed scores.
Data set = 48, 65, 72, 86, 84, 52, 93, 97, 81, 80
Sample size, n = 10
Now, arrange numbers in ascending order.
48, 52, 65, 72, 80, 81, 84, 86, 93, 97
Formula for percentile is,
Percentile = ( Number of Scores below 86 / Sample size ) x 100
Percentile = ( 7 /10 ) x 100
= (0.7) x 100
= 70%
Therefore, we can conclude that 70th percentile is = 86.
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