Solve the problem.
-Assume that women have heights that are normally distributed with a mean of 63.6 inches and a standard deviation of 2.5 inches. Find the value of the quartile Q $Q _ { 3 }$
A)67.8 inches
B)64.3 inches
C)66.1 inches
D)65.3 inches

Question

Quizplus · Accepted Answer

The third quartile (Q3) is the 75th percentile of a normal distribution. Using the Z-table, the Z-score for the 75th percentile is approximately 0.675. Using the formula: Q3 = mean + (Z * standard deviation), we get Q3 = 63.6 + (0.675 * 2.5) = 65.2875, which rounds to 65.3 inches.

Solve the Problem Q3Q _ { 3 }Q3​ A)678 Inches B)64

Solve the Problem $Q _ { 3 }$ A)678 Inches
B)64