Third staters

 

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

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.

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 7 3.33 3.30 0.12 0.24

Table 1: 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 0.897).

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