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小王爱学习 · 2022年01月12日

没看懂第二问答案

  1. FRM I
  2. Quantitative

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).

100/4 等于25。那么应该6/4 F分成四份。然后第一个和第二个的平均数是25%。
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2 个答案

DD仔_品职助教 · 2022年01月13日

嗨，爱思考的PZer你好：


75%的数据也是同理，根据rank我们可以判断在4和5这两个数据之间，利用线性插值法：(75%-60%)/(x-0.38)=(80%-60%)/(0.43-0.38)

得 x=0.4175

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加油吧，让我们一起遇见更好的自己！

DD仔_品职助教 · 2022年01月13日

嗨，爱思考的PZer你好：


同学你好，具体的分位点要看最后一列rank的信息来确定，不是简单的分割，你这样想不准确。

我们现在是有6个数，但是第一个数的rank是0%，第二个数rank是20%，第三个数是40%，那么可以确定25%是在第二个数和第三个数之间的，那么我们现在假设这个25%的数字是x，利用线性差值法来进行计算：（25%-20%）/ (x-0.27) = (40%-20%)/(0.28-0.27) 可得，x=0.2725



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虽然现在很辛苦，但努力过的感觉真的很好，加油！

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2024-05-13 16:04 1 · 回答

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). 应该怎么求？没看懂解析。

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