M. Járó - L. Költő szerk.: Archaeometrical research in Hungary (Budapest, 1988)
Analysis - ÓVÁRI Ferenc: On the metrology of antoniniani originating in the 3rd century
Table 2 Average mass data of antoniniani of Singidunum s hoard Groups total mass g coins average mass g deviation from total mass g average mass g basic average mass g in% IMP. GORDIANUS .. . 2784.68 647 430 0.00 IMP. CAES ... 83421 186 4.48 • 4.30 antiochia 386.05 88 438 • 2,02 GORDIANUS summ. 400454 921 434 IMP.M. IVL. PHILIPPUS 135658 324 4.18 • 2.56 IMP. PHILIPPUS A VG 24957 61 4.09 - 4.66 antiochia 36.12 8 4.51 • 4.88 OTACILIA 37027 89 4.16 - 3.26 PHILIPPUS II 488.12 117 4.17 - 3.03 antiochia 4.06 1 4.06 -5 59 PHILIPPUS and family 2505.12 599 4.18 DEC1US 977.04 236 4.14 - 3.73 antiochia — — — _ ETRUSCILLA 433.60 106 4.09 - 4.89 The CONSECRATIO lusses of the DIVI 43.19 10 431 - 0.23 ETRUSCUS 26030 67 3.88 - 9.77 H. QVINTUS 29J65 8 3.69 -14.19 DECIUS and family 1743.78 427 4.08 GALLUS 293.00 83 3.53 -1751 antiochia — — — — VOLUSIANUS 88.75 25 355 -17.45 antiochia 8.49 2 424 - 1.40 GALLUS and VOLUSIANUS summ. 39024 110 354 AEMILIANUS — biguously. Two propositions can be considered: on the one hand Tulln's hoard was hidden later than Smyrna's hoard and Singidunum's hoard therefore, the coins of Tulln had been circulated for a longer time and had worn away more intensively. The coins of Tulln's hoard would be more corroded on the other hand and therefore more material could be transported from their surface during cleaning. At the same time the coins of the other two hoards would have to be cleaned less rigorously. The difference of the average mass of différent groups can be seen in the 5 th column of the tables. The sum of the 5th columns is given as the weighted arithmetic mean calculated as follows: S = n r xi • n 2 • x 2 » n 3 . x 3 + n 4 . x 4 ^ nj + n 2 + n 3 + n 4 where n is the number of coins. These data can be seen in Fig. 4 and in the 6th column of Table 4. This figure contains data of nearly 5000 antoniniani. The data of Dorchester's and Plevna's hoards are summarized in Tables 5 and 6.
