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Scores on a national math test are Normally distributed, with a mean score of 490 and a standard deviation of 50. Katlyn’s math score is in the 92nd percentile. What is her math score, rounded to the nearest whole number?

Find the z-table here.

A) 554
B) 561
C) 568
D) 578

Sagot :

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Answer:

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B) 561

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Katlyn’s math score of 561 is in the 92nd percentile.

What is z score?

Z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

z = (raw score - mean)  / standard deviation

Given mean of 490 and a standard deviation of 50.

The 92nd percentile has a z score of 1.41

Hence:

1.41 = (x - 490)/50

x = 561

Katlyn’s math score of 561 is in the 92nd percentile.

Find out more on z score at: brainly.com/question/25638875

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