Coin catalogue section: |
Kelenderis |

Coin corpus datasets: |
Kelenderis, Group 2, Kelenderis, Group 3 |

### Summary

Hemioboles were not minted during the first and last phases of the minting of obols. The production of hemioboles can be tentatively divided into two phases, which correspond to the second and third phases of coinage of obols presented in section Weight Analyses / Kelenderis, obols.

### Analysis

Box plots1 of individual coin types and basic descriptive statistics are presented in Figure 1 and Table 1 (Std. dev. denotes the standard deviation and IQR the interquartile range), respectively.

**Figure 1: **Box plots of individual coin types

Type | Count | Mean | Median | Std. Dev. | IQR |
---|---|---|---|---|---|

2H.2 |
18 | 0.36 | 0.38 | 0.06 | 0.09 |

3K.2 |
3 | 0.32 | 0.32 | 0.02 | 0.02 |

3L.3 |
3 | 0.34 | 0.36 | 0.03 | 0.05 |

3M.3 |
13 | 0.39 | 0.39 | 0.06 | 0.06 |

3N.4 |
2 | 0.29 | 0.29 | 0.01 | 0.02 |

**Table 1:** Basic descriptive statistics of coin types

As Figure 1 and Table 1 shows, Types 3N.4 stands out with their low weights. This is consistent with the observation in the weight analysis of the obols (see section Weight Analyses / Kelenderis, obols), as this type corresponds to obols of Type 3N.2 (horse on the obverse and goat on the reverse and no additional symbol). The production of hemiobols can thus be divided into roughly two phases:

Phase 1: |
All coins in Groups 2 and 3 except Type 3N.4. |

Phase 2: |
Type 3N.4 (horse on the obverse). |

Table 2 provides the descriptive statistics of the assumed production phases of hemiobols. The following Figures 2–4 present their box plots, relative frequency histograms (the bars represent the relative frequencies of observations ranging from 0.25 to 0.50 g in increments of 0.05 g) and cumulative distributions.

These two phases seem to correspond to Phases 2 and 3 of the obol coinage (see section Kelenderis, obols). However, it should be emphasized that due to the fact that Type 3N.4 is represented by only two specimens, this conclusion is still statistically inconclusive.

Statistics | Phase 1 | Phase 2 |
---|---|---|

Number of coins: |
37 | 2 |

Mean: |
0.37 | 0.29 |

Standard deviation: |
0.06 | 0.01 |

Interquartile range: |
0.09 | 0.02 |

Skewness: |
0.06 | -0.00 |

Kurtosis: |
2.39 | 1.00 |

Minimum: |
0.26 | 0.28 |

25th percentile: |
0.32 | 0.28 |

Median: |
0.37 | 0.29 |

75th percentile: |
0.40 | 0.30 |

Maximum: |
0.49 | 0.30 |

**Table 2:** Descriptive statistics of supposed phases of hemiobol coinage

**Figure 2: **Box plots of supposed phases of hemiobol coinage

**Figure 3: **Relative frequency histograms of supposed phases of hemiobol coinage

**Figure 4: **Cumulative distributions of supposed phases of hemiobol coinage

1The bottom and top of each box are the 25th and 75th percentiles of the dataset, respectively (the lower and upper quartiles). Thus, the height of the box corresponds to the interquartile range (IQR). The red line inside the box indicates the median. Whiskers (the dashed lines extending above and below the box) indicate variability outside the upper and lower quartiles. From above the upper quartile, a distance of 1.5 times the IQR is measured out and a whisker is drawn up to the largest observed data point from the dataset that falls within this distance. Similarly, a distance of 1.5 times the IQR is measured out below the lower quartile and a whisker is drawn down to the lowest observed data point from the dataset that falls within this distance. Observations beyond the whisker length are marked as outliers and are represented by small red circles.

30 July 2023