分光计实验数据处理

实验次数	左		右		|左_(Ⅰ)-右_(Ⅰ)|	|左_(Ⅱ)-右_(Ⅱ)|	∠A
	Ⅰ窗	Ⅱ窗	Ⅰ窗	Ⅱ窗
1	300°35′	120°39′	180°37′	0°32′	119°58′	120°07′	60°01′
2	305°10′	125°13′	185°10′	5°8′	120°00′	120°05′	60°01′
3	308°40′	128°43′	188°39′	8°37′	120°01′	120°06′	60°02′
4	309°53′	129°57′	189°53′	9°51′	120°00′	120°06′	60°02′
5	308°33′	128°36′	188°33′	8°32′	120°00′	120°04′	60°01′
6	306°57′	126°58′	187°00′	6°58′	119°57′	120°00′	59°59′

\[\overline{\angle A} = \frac{1}{6}\sum_{i = 1}^{6}{\angle A}_{i} = 60{^\circ}01\prime\]

\[u_{A} = \sqrt{\frac{1}{n(n - 1)}\sum_{i = 1}^{n}{({\angle A}_{i} - \overline{\angle A})}^{2}} = \sqrt{\frac{1}{6 \times 5}\sum_{i = 1}^{6}{({\angle A}_{i} - \overline{\angle A})}^{2}} = \frac{\sqrt{10}}{10}\prime\]

\[u_{B} = \frac{\mathrm{\Delta}_{仪}}{\sqrt{3}} = \frac{1\prime}{\sqrt{3}} = \frac{\sqrt{3}}{3}\prime\]

\[u = \sqrt{{u_{A}}^{2} + {u_{B}}^{2}} = \sqrt{\frac{1}{10} + \frac{1}{3}} = \sqrt{\frac{13}{30}} \approx 0.6\prime\]

故测量结果是\(\angle A = 60{^\circ}01\prime \pm 0.6\prime\)