1. **Problem statement:** We have speed data for 50 cars ordered by speed.
4.1 We want to find how many cars drove faster than the speed limit of 50 km/h.
4.2 We want to find the range (variationsbredden) of the dataset, which is the difference between the highest and lowest speeds.
4.3 and 4.4 relate to a new dataset and campaign effect, but we only solve the first question as per instructions.
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2. **Formula and rules:**
- To find how many cars exceed 50 km/h, count all speeds $>50$.
- The range is calculated as $$\text{Range} = \text{Max speed} - \text{Min speed}$$
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3. **Intermediate work:**
- From the graph description, speeds start near 30 km/h and go up to about 75 km/h.
- The cars are ordered by speed, so all cars with speed $>50$ are those with speed bars above 50 on the y-axis.
4. **Counting cars faster than 50 km/h:**
- The bars increase from about 30 to 75 km/h over 50 cars.
- We estimate the number of cars with speed $>50$ by counting bars above 50.
- Suppose the first car with speed above 50 is car number $n$.
- From the graph, roughly cars from about number 30 to 50 exceed 50 km/h.
- So number of cars faster than 50 km/h is approximately $50 - 29 = 21$ cars.
5. **Calculating the range:**
- Max speed $\approx 75$ km/h
- Min speed $\approx 30$ km/h
- Range $$= 75 - 30 = 45$$ km/h
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**Final answers:**
- 4.1 Number of cars faster than 50 km/h: **21**
- 4.2 Range of speeds: **45 km/h**
Speed Analysis 1689C6
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