Give an example of each of the following situations. Explain your choices.where the mean provides the most useful informationwhere the median provides the most useful informationwhere the mode provides the most useful information full sentences
1. Where the mean provides the most useful information:
Example: In a class of 30 students, their scores on a math test are as follows: 50, 60, 70, 80, 90. In this scenario, the mean would provide the most useful information as it would give an average score of the entire class, helping to understand the overall performance of the students.
2. Where the median provides the most useful information:
Example: In a housing market with a wide range of property prices, the median would provide the most useful information to determine the typical price of homes in the area. This is because the median is not affected by extreme values, such as outliers or extremely high or low prices, giving a more accurate representation of the market.
3. Where the mode provides the most useful information:
Example: In a survey asking people their favorite color, where most of the responses are clustered around a particular color, the mode would be the most useful measure of central tendency. This is because the mode represents the color that appears most frequently, giving a clear indication of the most popular choice among respondents.