Statistics

2010013501

Level: 
A
Two years ago, a family business reported gross profit of 3.5 million euros. During the pandemic, the company got into trouble so that its last year gross profit fell by 20% and its gross profit of this year was 1 million euros lower than of the last year. What was the average annual decrease in the gross profit reported by the company during the priod under review? Round the result to the tenth of a percent.
28.3%
27.9%
26.7%
28.2%

2010013502

Level: 
A
The annual production of a business is recorded in the following table. Find the compound annual rate of decline in production for a given period 2017 - 2020. (I.e., the average annual coefficient of the production decline, i.e., the ratio that provides a constant decline rate over the time period.) Round the result to four decimal places. Year2017201820192020Production (pcs)55000500004700045000
0.9353
0.9225
0.9898
0.9535

2010013503

Level: 
A
Four seamstresses sew doll dresses in a sheltered workshop. During the six-hour working hours, the first seamstress sewed 4 dresses, the second 5, the third 7 and the fourth 4 dresses. What was the average time needed to sew one dress on this day?
1h 12min
1h 20min
1h 10min
1h 24min

2010013504

Level: 
A
The average price of a pork meat increased by 15% in the year 2018, by 13% in the year 2019 and by 28% in the year 2020. Find the average percentage growth of the price of the pork meat per one year in the period 2017-2020. Round your result to the nearest percent.
18%
19%
20%
17%

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 10km/h. Returning from the Upper Square to the Lower Square she rode the same route with an average speed of 13km/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

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

2010018103

Level: 
A
In February 2021, Aneta recorded an outdoor temperature in Ostrava-Poruba, always measured at 2 p.m. The results in C are shown in the following table: Day1.2.3.4.5.6.7.8.Temperature (C)13783045Day9.10.11.12.13.14.15.16.Temperature (C)43643220Day17.18.19.20.21.22.23.24.Temperature (C)384558516Day25.26.27.28.Temperature (C)151568 Determine the mode of the recorded temperatures.
8C
3C
3C
4C

9000139501

Level: 
A
Ten apples in a box have average mass 200g. We remove one apple of the mass 200g from the box. What is the change in the average mass of the apples from the box?
The average mass of the apples does not change.
The average mass of the apples decreases by 20g.
The average mass of the apples increases by 20g.
There is not enough information to solve this problem.