對(duì)某電阻進(jìn)行10次測量,數(shù)據(jù)如下(單位:kΩ):
0.992,0.993,0.992,0.993,0.993,0.991,0.993,0.993,0.994,0.992
若測量的隨機(jī)誤差為正態(tài)分布,系統(tǒng)誤差為±1%(均勻分布),試給出包含誤差值的測量結(jié)果表達(dá)式。[提示:因測量次數(shù)較少,用格拉布斯準(zhǔn)則檢驗(yàn)壞值,置信概率取95%,按絕對(duì)值合成]
對(duì)某信號(hào)源輸出電壓的頻率f進(jìn)行8次測量,數(shù)據(jù)如下(單位:Hz)
1000.82,1000.79,1000.85,1000.84,1000.78,1000.91,1000.76,1000.82
試求其有限次測量的數(shù)學(xué)期望與標(biāo)準(zhǔn)差的估計(jì)值。
有限次測量的數(shù)學(xué)期望就等于算數(shù)平均值