Statistics

1003029508

Level: 
A
There were the following speeds of six cars recorded on one of the roads in New York: $66\,\mathrm{mph}$, $57\,\mathrm{mph}$, $71\,\mathrm{mph}$, $54\,\mathrm{mph}$, $69\,\mathrm{mph}$, $58\,\mathrm{mph}$. We would like to know the average of these recorded speeds. What type of average do we need to use?
Arithmetic mean
Geometric mean
Harmonic mean
Weighted harmonic mean

1003123501

Level: 
A
At a weather station in Las Vegas wind speeds were measured every day at \( 7 \)pm during one month. The results are specified in the following table. \[ \begin{array}{|l|c|c|c|c|c|c|c|c|} \hline \text{Day} & 1. & 2. & 3. & 4. & 5. & 6. & 7. & 8. \\\hline \text{Wind} (\mathrm{mps}) & 3 & 2 & 1 & 1 & 2 & 2 & 1 & 3 \\\hline \\\hline \text{Day} & 9. & 10. & 11. & 12. & 13. & 14. & 15. & \\\hline \text{Wind} (\mathrm{mps}) & 2 & 1 & 2 & 2 & 4 & 2 & 4 & \\\hline \\\hline \text{Day} & 16. & 17. & 18. & 19. & 20. & 21. & 22. & 23. \\\hline \text{Wind} (\mathrm{mps}) & 4 & 2 & 2 & 3 & 2 & 12 & 13 & 6 \\\hline \\\hline \text{Day} & 24. & 25. & 26. & 27. & 28. & 29. & 30. & \\\hline \text{Wind} (\mathrm{mps}) & 5 & 7 & 2 & 3 & 8 & 9 & 12 & \\\hline\end{array} \] Determine the median of the recorded wind speeds.
\( 2{.}5\,\mathrm{m/s} \)
\( 2\,\mathrm{m/s} \)
\( 4\,\mathrm{m/s} \)
\( 6\,\mathrm{m/s} \)

1003123502

Level: 
A
At a weather station in Las Vegas temperature was measured every day at \( 7 \)pm during one month. The results are specified in the following table. \[ \begin{array}{|l|c|c|c|c|c|c|c|c|} \hline \text{Day} & 1. & 2. & 3. & 4. & 5. & 6. & 7. & 8. \\\hline \text{Temperature }(^{\circ}\mathrm{C}) & 24 & 22 & 21 & 26 & 22 & 23 & 21 & 23 \\\hline \\\hline \text{Day} & 9. & 10. & 11. & 12. & 13. & 14. & 15. & \\\hline \text{Temperature } (^{\circ}\mathrm{C}) & 21 & 26 & 20 & 23 & 24 & 19 & 21 & \\\hline \\\hline \text{Day} & 16. & 17. & 18. & 19. & 20. & 21. & 22. & 23. \\\hline \text{Temperature } (^{\circ}\mathrm{C}) & 21 & 20 & 26 & 23 & 24 & 22 & 23 & 26 \\\hline \\\hline \text{Day} & 24. & 25. & 26. & 27. & 28. & 29. & 30. & \\\hline \text{Temperature } (^{\circ}\mathrm{C}) & 25 & 23 & 22 & 25 & 27 & 26 & 22 & \\\hline \end{array} \] Determine the mode of the recorded temperatures.
\( 23 \,^{\circ}\mathrm{C} \)
\( 22\,^{\circ}\mathrm{C} \)
\( 21\,^{\circ}\mathrm{C} \)
\( 26\,^{\circ}\mathrm{C} \)
\( 21\,^{\circ}\mathrm{C} \) also \( 22\,^{\circ}\mathrm{C}\) also \(26\,^{\circ}\mathrm{C}\)

1003123503

Level: 
A
It is known that in the given time period one up to five pieces of the same product were sold in each of the 100 monitored shops. One piece was sold in \( 26 \) shops, \( 2 \) pieces in \( 64 \) shops, \( 3 \) pieces in \( 7 \) shops, \( 4 \) pieces in \( 2 \) shops and \( 5 \) pieces in one shop. How many pieces of the product were sold most frequently in the given shops? Choose the correct characteristic and its value.
Mode: \( 2 \) pieces
Arithmetic mean: \( 3 \) pieces
Median: \( 2 \) pieces
Median: \( 3 \) pieces
(Weighted) arithmetic mean: \( 1.88 \) pieces

1103025101

Level: 
A
The results of the math test are shown in the graph. Based on the graph, which of the following statements is false?
The median of the scores is the same as their modus.
Half of the students had higher score than the average score.
The average score rounded to the nearest hundredth is \( 2{.}68 \).

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 \((2,\ 2) \)

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 \(8\).
\( \frac{14}{3}; 4 ;\frac{24}{7} \)
\( \frac{24}{7}; 4; \frac{14}{3} \)
\( 4; \frac{24}{7};\frac{14}{3} \)
\( \frac{14}{3};\frac{24}{7}; 4\)