Third staters

Analyzed coins Analysis

Analyzed coins

Coin catalogue section: Nagidos, Third staters
Coin corpus datasets: Nagidos, Third staters

The numbers of analysed coins are given in Table 1. Those coins that are listed in the coin corpus without weights or that are marked there as too corroded or damaged are excluded from the analysis.

Corpus Number of coins as of 7 January 2025
Total Excluded Analyzed
Nagidos, Third staters 12 12

Table 1: Numbers of analyzed coins

Analysis

Box plots1 of individual coin types and basic descriptive statistics are presented in Figure 1 and Table 2 (Std. Dev. denotes the standard deviation and IQR the interquartile range), respectively.

Weight distributions, Figure 1

Figure 1: Box plots

Type Count Mean Median Std. Dev. IQR
4.1 4 3.35 3.38 0.11 0.13
4.2 8 3.33 3.34 0.11 0.21

Table 2: Basic descriptive statistics of coin types

Figure 2 presents relative frequency histograms of individual types, i.e. the bars represent the relative frequencies of observations ranging from 3.20 to 3.50 g in increments of 0.10 g. Cumulative distributions are shown in Figure 3. The Kolmogorov-Smirnov test does not reject the equality of the weight distributions of these two types (p-value of 0.986).

Weight distributions, Figure 2

Figure 2: Relative frequency histograms

Weight distributions, Figure 3

Figure 3: 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.

 

23 August 2024 – 7 January 2025