Kelenderis, bronze coins

 

Coin catalogue section: Kelenderis
Coin corpus datasets: Kelenderis, Group 3

Table 1 shows the descriptive statistics of Kelenderis bronze coins of all types.

Statistics All coins
Number of coins: 13
Mean: 1.62
Standard deviation: 0.33
Interquartile range: 0.33
Skewness: 0.08
Kurtosis: 2.52
Minimum: 1.00
25th percentile: 1.45
Median: 1.57
75th percentile: 1.78
Maximum: 2.17

Table 1: Descriptive statistics

Basic descriptive statistics and box plots1 of individual coin types are presented in Table 2 (Std. dev. denotes the standard deviation and IQR the interquartile range) and Figure 1, respectively. Types 3L.5 and 3L.6 (forepart of the goat on the reverse) are each represented by a single coin in the dataset, and the weights of both of these coins lie in the lower quartile of Type 3L.7 (the whole goat on the reverse).

Type Count Mean Median Std. Dev. IQR
3L.5 1 1.00 1.00
3L.6 1 1.40 1.40
3L.7 11 1.70 1.69 0.28 0.48

Table 2: Basic descriptive statistics of coin types

Weight distributions, Figure 1

Figure 1: Box plots

Figure 2 presents the relative frequency histogram, i.e. the bars represent the relative frequencies of observations ranging from 1.00 to 2.20 g in increments of 0.10 g. Types 3L.5 and 3L.6 are distinguished by red colour and Type 3L.7 by blue colour. The cumulative distribution of all coins is shown in Figure 3.

Weight distributions, Figure 2

Figure 2: Relative frequency histogram

Weight distributions, Figure 3

Figure 3: Cumulative distribution of all coins

 

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.

 

29 July 2023