Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 C4 150 0 64.940 0.0825 1.010 62.722 65.679
Variable Maximum
C4 67.445
If this data set were normal, which value would most likely fall into the first quartile?
A) 63.93
B) 65.073
C) 64.366
D) 63.730

Question

Quizplus · Accepted Answer

If the data set were normal, the first quartile (Q1) would be approximately 0.6745 standard deviations below the mean. Using the values provided, we can calculate:
Q1 = Mean - 0.6745(StDev/√N) = 64.940 - 0.6745(1.010/√150) ≈ 64.366

Therefore, the best choice is (C), which is closest to the expected value of the first quartile based on a normal distribution.