7. The table shown summarizes the scores of 26 students on a history test. Based on the information provided, the score of 11 is best described as which of the following
Answer: D
The score of 11 is best described as the median.
The score of 11 represents the median, which is the middle value in a sorted list of scores. In a set of data, the median effectively divides the dataset into two equal halves.
A) The mean
The mean is the average score calculated by summing all the scores and dividing by the number of students. Since the score of 11 does not necessarily reflect the average of the scores, it cannot be accurately described as the mean.
B) The range
The range is the difference between the highest and lowest scores in the dataset. It does not apply to individual scores like 11, making this option incorrect.
C) The mode
The mode is the score that appears most frequently in the dataset. While the score of 11 may be common, it is not necessarily the score that occurs most often, so describing it as the mode is not correct.
D) The median
The median is the middle score when all values are arranged in order. Given that the score of 11 is positioned centrally within the dataset, it is accurately described as the median.
Conclusion
The score of 11 is definitively the median because it represents the value that separates the higher and lower halves of the dataset. Other options fail to describe the score accurately as they relate to different statistical measures, highlighting the significance of the median in understanding data distributions.