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统计学中level of measurement

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统计学中level of measurement
1The incomes of a group of 50 loan applicants are obtained.Which level of measurement is income?
A) Nominal B) Ordinal C) Interval D) Ratio
2翻译:Median:Can be computed for an open-ended frequency distribution if the median does not lie in an open-ended class.
1)我感觉应该是ratio.
Using a ratio scale permits comparisons such as being twice as high,or one-half as much.
2)open-ended frequency distribution 见下例.
Wages of workers in a factory
Monthly Income (Rs.) ---------- NO.of Workers
Less than 2000/- ---------------- 99
2000-2999/- ----------------- 290
3000-3999/- --------------- 240
4000-4999/- ---------------- 49
5000 & above --------------- 110
因为中数并不落在open ended class,ie:less than 2000,greater than 5000,
这种情况下中数是可求的.
相反,如果把5000 & above的工人数改成1100,则中数落在这个区,那么中数无法求得.
其实很简单,英文把它搞复杂了.
再问: 我的思维不灵活,好像懂了点有不全懂... 你的意思是wage的中数在3000-3900里面? 如果如果把5000 & above的工人数改成1100,那就用1100-(99+290+240+49)=422 把1100人工资从高到低排前422人的中数不就是了?为什么无法求得
再答: if you change 5000 & above to 1100, then the total number become 1100+(99+290+240+49)=1778, the median should falls on number 889 which is bigger then sum(99,290,240,49) thus it falls into class "5000 & above" in the open-end class 5000 & above, it can't be evaluated.