Statistics

2010018103

Level: 
A
In February 2021, Aneta recorded an outdoor temperature in Ostrava-Poruba, always measured at \(2\) p.m. The results in \(^{\circ}\mathrm{C}\) are shown in the following table: \[ \begin{array}{|l|c|c|c|c|c|c|c|c|} \hline \text{Day} & 1. & 2. & 3. & 4. & 5. & 6. & 7. & 8. \\\hline \text{Temperature }(^{\circ}\mathrm{C}) & -1 & 3 & 7& 8 & 3 & 0 & -4 & -5 \\\hline \\\hline \text{Day} & 9. & 10. & 11. & 12. & 13. & 14. & 15. & 16.\\\hline \text{Temperature } (^{\circ}\mathrm{C}) & -4 & -3 & -6 & -4 & -3 & 2 & -2 & 0\\\hline \\\hline \text{Day} & 17. & 18. & 19. & 20. & 21. & 22. & 23. & 24. \\\hline \text{Temperature } (^{\circ}\mathrm{C}) & 3 & 8 & 4 & 5 & 5 & 8 & 5 & 16 \\\hline \\\hline \text{Day} & 25. & 26. & 27. & 28. & & & & \\\hline \text{Temperature } (^{\circ}\mathrm{C}) & 15 & 15 & 6 & 8 & & & & \\\hline \end{array} \] Determine the mode of the recorded temperatures.
\(8\,^{\circ}\mathrm{C}\)
\(3\,^{\circ}\mathrm{C}\)
\(-3\,^{\circ}\mathrm{C}\)
\(-4\,^{\circ}\mathrm{C}\)

2010018102

Level: 
A
The same component is manufactured simultaneously on two differently powerful machines. The first one makes \(1\) component in \(20\) minutes, the second one makes the same component in \(10\) minutes. We are interested in how long it takes on average to produce \(1\) component using these two machines. What type of average do we use for the calculation?
Harmonic mean
Geometric mean
Arithmetic mean
Weighted arithmetic mean

2010018101

Level: 
A
Andrea took part in a children's cycling race. The first part of the route led from the Lower Square to the Upper Square and Andrea completed it with an average speed of \(10\,\mathrm{km/h}\). Returning from the Upper Square to the Lower Square she rode the same route with an average speed of \(13\,\mathrm{km/h}\). We are interested in her average speed during the whole race. What type of average do we need to use?
Harmonic mean
Arithmetic mean
Geometric mean
Weighted arithmetic mean

2000003505

Level: 
A
Choose the three numbers that represent the arithmetic mean, the geometric mean and the harmonic mean, in that order, of the numbers \(2\), \(4\) and \(8\).
\( \frac{14}{3}; 4 ;\frac{24}{7} \)
\( \frac{24}{7}; 4; \frac{14}{3} \)
\( 4; \frac{24}{7};\frac{14}{3} \)
\( \frac{14}{3};\frac{24}{7}; 4\)

2000003504

Level: 
A
So far, Petr has the following marks in mathematics: \(1,\ 1,\ 2,\ 2,\ 2,\ 3,\ 3,\ 3\). He will write two more tests. What marks must he get on the two tests so that the average of his marks is at most \(2\)? Specify all the options.
\( (1,\ 1)\) or \((1,\ 2) \)
Only \( (1,\ 1)\)
\( (1,\ 1)\) or \((1,\ 2) \) or \((2,\ 2) \)
\((1,\ 2) \) or \((2,\ 2) \)