Basic statistics Comparison with Kelenderis staters

Coin catalogue section: |
Holmoi |

Coin corpus datasets: |
Holmoi, Group 1, Holmoi, Group 2 |

### Basic statistics

Box plots1 and basic descriptive statistics are presented in Figure 1 and Table 1, respectively. In Group 1, the coin no. 2 (Type 1.1b) is distinguished from other coins by its very low weight of 10.02 g. According to the photograph in the auction catalogue, it appears to be well preserved and without signs of metal degradation.

**Figure 1: **Box plots

Statistics | Group 1 | Group 2 |
---|---|---|

Number of coins: |
8 | 6 |

Mean: |
10.56 | 10.04 |

Standard deviation: |
0.23 | 0.14 |

Interquartile range: |
0.13 | 0.16 |

Skewness: |
-1.78 | -0.13 |

Kurtosis: |
4.74 | 1.88 |

Minimum: |
10.02 | 9.84 |

25th percentile: |
10.54 | 9.96 |

Median: |
10.66 | 10.04 |

75th percentile: |
10.67 | 10.12 |

Maximum: |
10.74 | 10.22 |

**Table 1:** Descriptive statistics of coin groups

Figure 2 presents the relative frequency histograms. The bars represent the relative frequencies in both groups ranging from 9.80 to 10.80 g in increments of 0.10 g. The cumulative distributions are shown in Fig. 3.

**Figure 2: **Relative frequency histograms

**Figure 3: **Cumulative distributions

### Comparison with Kelenderis staters

Figures 4 shows the comparison with Kelenderis staters (for definitions of Groups 3a, 3b and 3c, see the page Weight Analyses / Kelenderis, staters). Group 1 of the Holmoi staters roughly corresponds to Group 3a of the Kelenderis staters. Group 2 of the Holmoi staters shows a slightly higher weight standard than Group 3c of the Kelenderis staters, but the differences may be due to the lower number of observations. This is confirmed by Figures 5 and 6, which present the relative frequency histograms and cumulative distributions.

These observations suggest that Group 1 of the Holmoi staters and Group 3a of the Kelenderis staters may have been minted at approximately the same time period, perhaps in the late 5th or early 4th century BC. Similarly, the Holmoi staters of Group 2 and the Kelenderis staters of Group 3c may have been minted at approximately the same time period sometime during the 4th century BC. However, this is still a preliminary speculative conclusion.

**Figure 4: **Holmoi vs Kelenderis staters, box plots

**Figure 5: **Holmoi vs Kelenderis staters, relative frequency histograms

**Figure 6: **Holmoi vs Kelenderis staters, cumulative distributions

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.

4 August 2023 – 27 August 2023