问题如下：
For the following data:
a. What is the median?
b. What is the IQR?
选项：
解释：
a. The first step is to rank order the observations.
From here, we anchor the first observation at 0% and the last at 100%, equally spacing the in-between val-ues. The divisions here will be 100/n-1 = 20%:
The median (50%) lies exactly half way between the third and fourth ranked observations. Therefore:
Median=(0.28+0.38)/2=0.33
b. This requires calculating the 25% and 75% levels.
The 25% level is 5/20 = 25% of the way between ranked observations 2 and 3. Therefore: q25% = 0.75 * 0.27 + 0.25 * 0.28 = 0.2725
Similarly, the 75% level is 75% of the way between observations 4 and 5: q75% = 0.25 * 0.38 + 0.75 * 0.43 = 0.4175
Thus, IQR = (0.2725, 0.4175).
【The 25% level is 5/20 = 25% of the way between ranked observations 2 and 3. Therefore: q25% = 0.75 * 0.27 + 0.25 * 0.28 = 0.2725】
请问在这段解释中， 5/20是怎么来的呢？
为什么是【0.75 * 0.27 + 0.25 * 0.28 = 0.2725】？
IQR实际上是不是应该是0.4175-0.2725=0.145呢？
