Scores on a national math test are Normally distributed, with a mean score of 490 and a standard deviation of 50. Which test sco
re represents the top 20%, rounded to the nearest whole number?
Find the z-table here.
426
448
532
554
2 answers:
Answer:
532
Step-by-step explanation:
The score that represents the top 20% = A score = 80%
Z score for 80% percentile = 0.842
We solve using the z score formula
z = (x-μ)/σ, where
x is the raw score = ??
μ is the population mean = 490
and σ is the population standard deviation = 50
Hence:
0.842 = x - 490/50
Cross Multiply
0.842 × 50 = x - 490
x = 0.842 × 50 + 490
x = 42.1 + 490
x = 532.1
Approximately = 532
Therefore, the test score = 532
Answer:
532
Step-by-step explanation:
edg 2020-2021
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