| Coin catalogue section: | Kelenderis |
| Coin corpus datasets: | Kelenderis, Group 1, Kelenderis, Group 2, Kelenderis, Group 3 |
Table 1 shows the descriptive statistics of Group 2. The third staters in Groups 1 and 3 are represented by only one specimen in each of these groups and therefore these groups are not shown in the table.
| Statistics | Group 2 |
|---|---|
| Number of coins: | 27 |
| Mean: | 3.51 |
| Standard deviation: | 0.07 |
| Interquartile range: | 0.09 |
| Skewness: | -0.31 |
| Kurtosis: | 2.57 |
| Minimum: | 3.35 |
| 25th percentile: | 3.47 |
| Median: | 3.51 |
| 75th percentile: | 3.56 |
| Maximum: | 3.64 |
Table 1: Descriptive statistics of Group 2
The following three charts visualize the weight distribution. Fig. 1 shows box plots (the only representatives of Groups 1 and 3 are shown by red horizontal lines).1 Fig. 2 presents the relative frequency histogram and the probability density estimate. The bars represent the relative frequencies of observations in Group 2 ranging from 3.35 to 3.65 g in increments of 0.05 g. The curve plotted against the right vertical axis represents the probability density estimate calculated using the kernel estimator.2 The weight of the only known specimens of Groups 1 and 3 are represented by the red and green circles, respectively. The cumulative distribution is shown in Fig. 3.
Figure 1: Box plots
Figure 2: Relative frequency histogram and probability density estimate
Figure 3: Cumulative distribution of Group 2
Basic descriptive statistics and box plots of individual coin types are presented in Table 2 (Std. dev. denotes the standard deviation and IQR the interquartile range) and Fig. 4, respectively. Types 1B.1 (Group 1) and 3A.4 (Group 3) represented by only one specimen in each of these groups are added for completeness only. It seems that the same weight standard was used during the minting of third staters belonging to Group 2, but the dataset is small for now.
| Type | Count | Mean | Median | Std. Dev. | IQR |
|---|---|---|---|---|---|
| 1B.1 | 1 | 3.59 | 3.59 | ||
| 2A.3 | 6 | 3.50 | 3.50 | 0.07 | 0.09 |
| 2A.4 | 1 | 3.56 | 3.56 | ||
| 2B.2 | 2 | 3.53 | 3.53 | 0.05 | 0.07 |
| 2C.2 | 5 | 3.55 | 3.56 | 0.04 | 0.07 |
| 2F.3 | 7 | 3.47 | 3.47 | 0.09 | 0.10 |
| 2F.4 | 3 | 3.54 | 3.52 | 0.07 | 0.10 |
| 2G.3 | 3 | 3.47 | 3.46 | 0.08 | 0.12 |
| 3A.4 | 1 | 3.49 | 3.49 |
Table 2: Basic descriptive statistics of coin types
Figure 4: Box plots for individual coin types
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.
2A Gaussian kernel with bandwidth 0.488 and bounded support [3.325, 3.675] was used.
10 July 2023 – 15 July 2023