In a survey of first graders, their mean height was 49.9 inches with a standard deviation of 3.15 inches. Assuming the heights are normally distributed, what height represents the first quartile of these students? 46.75 inches 47.77 inches 52.02 inches 43.60 inches
Find the z value with left tail of 25%:
Z= -0.6745.
Let x is a randon number represent height and normally distributed with mean =49.9 inches and standard deviation = 3.15 inches.
Height represent the first quartile of these students:
X = -0.6745 * SD + Mean
X = -0.6745 * 3.15 + 49.9
X = 47.77
So, the correct answer is 47.77 inches.
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