1. Mean provides the most useful information:
Example - Average temperature in a city over a year. The mean temperature would give a good representation of the overall climate in that city as it takes into account all the temperatures recorded throughout the year. It would provide a general idea of what to expect in terms of weather patterns.
2. Median provides the most useful information:
Example - Salaries of employees in a company. If there are extreme outliers in the data, such as a few employees earning significantly more or less than the rest, the median would be a more accurate representation of the typical salary. This is because the median is not affected by extreme values, making it a better measure of central tendency in this situation.
3. Mode provides the most useful information:
Example - Types of transportation used by people in a city. The mode would be helpful in determining the most popular method of transportation among residents. This information can be useful for city planning and infrastructure development to accommodate the most commonly used mode of transport.
Give an example of each of the following situations. Explain your choices.
where the mean provides the most useful information
where the median provides the most useful information
where the mode provides the most useful information
3 answers
use simpler terms
1. Mean provides the most useful information:
Example - Average grade in a class. The mean grade would give a good idea of how well students are doing overall in the class by considering all the grades together.
2. Median provides the most useful information:
Example - Ages of students in a school. If there are some students much older or younger than the rest, the median age would represent the typical age of students without being affected by these extremes.
3. Mode provides the most useful information:
Example - Most popular ice cream flavor. The mode would show the flavor that is preferred by the most people, which can be helpful for deciding which flavors to stock in an ice cream shop.
Example - Average grade in a class. The mean grade would give a good idea of how well students are doing overall in the class by considering all the grades together.
2. Median provides the most useful information:
Example - Ages of students in a school. If there are some students much older or younger than the rest, the median age would represent the typical age of students without being affected by these extremes.
3. Mode provides the most useful information:
Example - Most popular ice cream flavor. The mode would show the flavor that is preferred by the most people, which can be helpful for deciding which flavors to stock in an ice cream shop.