1. **Stating the problem:** We are asked to find the angle $u$ in a circle diagram with given options 10°, 30°, 36°, and 45°.
2. **Understanding the problem:** The angle $u$ corresponds to a sector in a circle diagram. The size of the angle is proportional to the frequency or value represented by that sector.
3. **Formula used:** The angle of a sector in a circle diagram is given by
$$\text{Angle} = \frac{\text{Value}}{\text{Total}} \times 360^\circ$$
4. **Applying the formula:** From the bar chart, the values (antal skott) are 2, 3, 3, 2, 5, 2, and 3. The total number of skott is
$$2 + 3 + 3 + 2 + 5 + 2 + 3 = 20$$
5. If the sector marked $u$ corresponds to the value 2 (for example), then
$$u = \frac{2}{20} \times 360^\circ = \frac{2}{20} \times 360 = 36^\circ$$
6. **Answer:** The angle $u$ is $36^\circ$, which corresponds to option C.
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1. **Stating the problem:** Find the median of the data from the bar chart.
2. **Data:** The values are 2, 3, 3, 2, 5, 2, and 3.
3. **Ordering the data:** Sort the data points:
$$2, 2, 2, 3, 3, 3, 5$$
4. **Median:** Since there are 7 data points, the median is the middle value, which is the 4th value:
$$\text{Median} = 3$$
5. **Answer:** The median is 3 points, option B.
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1. **Stating the problem:** Given two consecutive rolls of five (two fives in a row), find the probability that the next roll is a five.
2. **Understanding the problem:** Each roll of a fair die is independent.
3. **Probability formula:** The probability of rolling a five on a fair six-sided die is
$$P(5) = \frac{1}{6}$$
4. **Answer:** The probability that the next roll is a five remains $\frac{1}{6}$, regardless of previous rolls.
**Summary:**
- Angle $u$ is $36^\circ$ (option C).
- Median is 3 points (option B).
- Probability of next roll being five is $\frac{1}{6}$.
Angle Median Probability 1C3E91
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