## 3 Results and Discussion  
### Analysis of Research on the Presence of Radioactive Elements  
This study analyzed 12 water samples, which were characterized by high content of minerals. The water was purchased in supermarkets in Warsaw. They come from deep water intakes located in Poland and were also bottled. Spectrometric analysis did not show the presence of the artificial element \({}^{137}\)Cs above the LLD (low limit of detection) measurability. In one of the tested samples, the presence of a \({}^{232}\)Th track above the measurability threshold (Franciszek water) was found. Its concentration was 2.4 \(\pm\) 2.1 mBq/L. In all samples, \({}^{40}\)K potassium above the measurable limit was detected. In the case of radium \({}^{226}\)Ra, its presence above the detection threshold was found in nine water samples. Table 1 shows the concentration of \({}^{40}\)K potassium and \({}^{226}\)Ra radium activity for the tested mineral water samples, together with the minimum and maximum values, the median, the coefficient of variation, the mean, and the standard deviation. Figure 1 shows the concentration of \({}^{40}\)K potassium activity in the samples of mineral waters. The orange line represents the mean value for the set of samples. \begin{table}
\begin{tabular}{l c c} \hline \multicolumn{3}{c}{**Concentration of Activity (mBq/L)**} \\ \hline
**Name** & \({}^{40}\)**K** & \({}^{226}\)**Ra** \\ \hline Amita & 348 \(\pm\) 26 & 32.6 \(\pm\) 9.4 \\ \hline [PERSON] & 468 \(\pm\) 32 & 9.5 \(\pm\) 8.5 \\ \hline [PERSON] & 345 \(\pm\) 26 & 8.3 \(\pm\) 2.0 \\ \hline [PERSON] & 370 \(\pm\) 27 & 8.5 \(\pm\) 6.2 \\ \hline [PERSON] & 407 \(\pm\) 29 & \(<\)LLD \\ \hline Laguna & 391 \(\pm\) 28 & 24.6 \(\pm\) 9.1 \\ \hline [PERSON] & 151 \(\pm\) 15 & 9.0 \(\pm\) 8.6 \\ \hline Primavera & 288 \(\pm\) 22 & 10.0 \(\pm\) 8.7 \\ \hline Slotwinka & 378 \(\pm\) 27 & \(<\)LLD \\ \hline Ustronianka & 355 \(\pm\) 26 & 12.8 \(\pm\) 8.7 \\ \hline Zuber & 398 \(\pm\) 28 & \(<\)LLD \\ \hline Zywiecki-Krysztal & 379 \(\pm\) 27 & 18.3 \(\pm\) 8.8 \\ \hline min & 151 \(\pm\) 15 & \(<\)LLD \\ \hline max & 469 \(\pm\) 32 & 32.6 \(\pm\) 9.4 \\ \hline average & 357 \(\pm\) 26 & 14.8 \(\pm\) 7.78 \\ \hline standard deviation & 74.2 \(\pm\) 3.9 & 8.1 \(\pm\) 2.2 \\ \hline median & 374 \(\pm\) 27 & 10.0 \(\pm\) 8.7 \\ \hline coefficient of variation & 0.21 \(\pm\) 0.15 & 0.55 \(\pm\) 0.28 \\ \hline \end{tabular}
\end{table} 
Table 1: Values of the concentration of potassium \({}^{40}\)K and radium \({}^{226}\)Ra activity together with the results of statistical analysis. The lowest concentration of \({}^{40}\)K potassium was found in the Naleczowianka water sample, 151.40 \(\pm\) 15.40 mBq/L. The maximum value was measured for the Franciszek water sample, 468.7 \(\pm\) 32.10 mBq/L. It is more than three times the minimum value. For all samples, the mean concentration of \({}^{40}\)K potassium was 356.63 \(\pm\) 26.08 mBq/L (Figure 1). Figure 2 shows the concentration of radium \({}^{226}\)Ra activity in nine samples of mineral waters. The red line represents the mean value for the set of samples. The lowest concentration (below the detection level) of radium \({}^{226}\)Ra was found in three water samples: Jozefowianka, Slotwinka, and Zuber. The maximum value occurred for the Amita water sample, 32.6 \(\pm\) 9.4 mBq/L. For all samples where the concentration was above the LLD, the average concentration of radium \({}^{226}\)Ra was 14.8 \(\pm\) 7.8 mBq/L. Above average activity concentrations were recorded in three samples. Figure 1: Concentration of \({}^{40}\)K potassium activity in the samples of mineral waters. The orange line represents the mean value for the set of samples. Figure 2: Concentrations of radium \({}^{226}\)Ra activity in 9 samples of mineral waters. The red line represents the mean value for the set of samples. The values of the annual consumption of mineral water by different age groups, the values of the transition coefficients, and the annual effective doses for individual radionuclides are given in Tables 2-4.