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claireteng · 2022年06月23日

题干中没有说取第一个数的概率是0啊?

NO.PZ2020010304000036

问题如下:

For the following data:

a. What is the median?

b. What is the IQR?

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).

正常情况下不是默认取这6个数的概率相同吗,那每个数应该是100%/6,我认为第一个数应该是有概率的
1 个答案

李坏_品职助教 · 2022年06月23日

嗨,从没放弃的小努力你好:


这道题问的是中位数和分位数,和概率没啥关系。


答案里面是把Value从小到大排序,最右侧的不是概率,是rank, 也就是排序的意思。0.26是最小的,所以是用0分位点。0.27第二小,所以是20%分位点。最后找到40%和60%这俩分位点,加起来除以二就是median了

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NO.PZ2020010304000036问题如下For the following ta:Whis the mean? Whis the IQR?The first step is to rank orr the observations.From here, we anchor the first observation 0% anthe last 100%, equally spacing the in-between val-ues. The visions here will 100/n-1 = 20%:The me(50%) lies exactly half wbetween the thiranfourth rankeobservations. Therefore:Mean=(0.28+0.38)/2=0.33 This requires calculating the 25% an75% levels.The 25% level is 5/20 = 25% of the wbetween rankeobservations 2 an3. Therefore: q25% = 0.75 * 0.27 + 0.25 * 0.28 = 0.2725Similarly, the 75% level is 75% of the wbetween observations 4 an5: q75% = 0.25 * 0.38 + 0.75 * 0.43 = 0.4175Thus, IQR = (0.2725, 0.4175). 老师,这种方式也叫插分吗?

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