Answer :
Let's break down the question step by step:
### a) Which of the median, mode or range should they use to make their decision? Write a sentence to explain your choice.
To determine which country to choose based on the favorite country preferences of Ethan, Elizabeth, Jack, Lola, and Joshua, we need to consider the aggregation method that best reflects the preference of the group. In this case, we should use the mode. The mode is the value that appears most frequently in a data set. It is most appropriate here because we want to identify which country has the highest number of preferences among these individuals.
Explanation: The mode is useful in this context because it gives us the country that most people prefer, which is a direct reflection of the group's majority opinion.
### b) Which country should they choose if they use this measure?
Given the preferences:
1. Ethan prefers Sweden.
2. Elizabeth prefers Austria.
3. Jack prefers Iceland.
4. Lola prefers Portugal.
5. Joshua prefers Austria.
Let's list the preferences:
- Austria: 2 preferences (Elizabeth, Joshua)
- Sweden: 1 preference (Ethan)
- Iceland: 1 preference (Jack)
- Portugal: 1 preference (Lola)
The mode is Austria, because it appears most frequently in the list of preferences.
Therefore, if they use the mode to make their decision, they should choose Austria.
### a) Which of the median, mode or range should they use to make their decision? Write a sentence to explain your choice.
To determine which country to choose based on the favorite country preferences of Ethan, Elizabeth, Jack, Lola, and Joshua, we need to consider the aggregation method that best reflects the preference of the group. In this case, we should use the mode. The mode is the value that appears most frequently in a data set. It is most appropriate here because we want to identify which country has the highest number of preferences among these individuals.
Explanation: The mode is useful in this context because it gives us the country that most people prefer, which is a direct reflection of the group's majority opinion.
### b) Which country should they choose if they use this measure?
Given the preferences:
1. Ethan prefers Sweden.
2. Elizabeth prefers Austria.
3. Jack prefers Iceland.
4. Lola prefers Portugal.
5. Joshua prefers Austria.
Let's list the preferences:
- Austria: 2 preferences (Elizabeth, Joshua)
- Sweden: 1 preference (Ethan)
- Iceland: 1 preference (Jack)
- Portugal: 1 preference (Lola)
The mode is Austria, because it appears most frequently in the list of preferences.
Therefore, if they use the mode to make their decision, they should choose Austria.
