Heidi conducted a survey in her neighborhood to determine the restaurant her neighbors preferred.
Restaurant Number of Neighbors
Pams Diner 23
Nick's 36
Magnolia 12
Olive Groove 22
Fine Dining 20
Patsy's 22
Best Eatery 22
Heidi concluded that one of the least preferred restaurants is Fine Dining. Which statement about Heidi's conclusion is true?
The conclusion is not valid because the number of neighbors who chose Fine Dining is less than the mode of the data.
The conclusion is not valid because the number of neighbors who chose Fine Dining is not the median of the data.
The conclusion is valid because most of her neighbors liked Nick's Restaurant.
The conclusion is valid because most of her neighbors liked other restaurants.
How?
Only one restaurant scored lower than Fine Dining.
To determine the validity of Heidi's conclusion, we need to compare the number of neighbors who preferred Fine Dining to the other restaurants.
The statement that the conclusion is not valid because the number of neighbors who chose Fine Dining is less than the mode of the data is incorrect. The mode refers to the value that appears most frequently in the data set. In this case, Nick's with 36 neighbors would be the mode. However, the conclusion is not specifically about the mode, so this statement is not relevant.
The statement that the conclusion is not valid because the number of neighbors who chose Fine Dining is not the median of the data is also incorrect. The median is the middle value of a data set when arranged in ascending or descending order. Since the data set does not mention the sorted order, the median is not relevant to evaluating the conclusion.
The statement that the conclusion is valid because most of her neighbors liked Nick's Restaurant is also incorrect. While Nick's had the highest number of neighbors (36), it does not provide information about the preference for Fine Dining.
The correct statement is that the conclusion is valid because most of her neighbors liked other restaurants. Heidi concluded that Fine Dining is one of the least preferred restaurants, which indicates that her neighbors generally preferred other restaurants instead. This aligns with the data presented, as Fine Dining had the second-lowest number of neighbors (20), suggesting it was not a top choice for most residents.