measured more accurately

Question
George and Jenny measured the weight of an orange separately. George's result was 232.4 g correct to the nearest 0.1g. Jenny's result was 233g correct to 3 significant figures.
(a) Whose measurement is within a percentage error of 0.1%?
(b) Who measured more accurately?


Solution
(a)
George: 232.4 g (correct to the nearest 0.1g)
Maximum absolute error = 0.1/2 = 0.05 g
Percentage error = 0.05/232.4 *100% = 0.02151463%

Jenny: 233 g (correct to 3 significant figures)
Maximum absolute error = 1/2 = 0.5 g
Percentage error = 0.5/233 *100% = 0.214592275%

Therefore, George's measurement is within a percentage error of 0.1%.

(b)
George's measurement has a smaller percentage error so George measured more accurately.

Masterijk :

只是好奇的一問 :

在


Maximum absolute error = 0.1/2 = 0.05 g

中，為什麼是 0.1/2

2013-10-11 13:33:12 補充：
Sorry, Please forget it.