Final Answer:
The median of 60 is the middle value in the dataset, indicating balanced distribution. The mean of 70 is slightly higher due to the influence of the lower and higher scores, 50 and 85, respectively. The range of 50 to 85 provides insights into the dataset's variability.
Step-by-step explanation:
The median, at 60, serves as a robust measure of central tendency, representing the midpoint when the scores are arranged. This indicates that 50% of the scores fall below 60, providing a reliable reflection of the dataset's central position.
The mean, calculated as (50 + 60 + 70 + 85) / 4 = 66.25, considers all values and is slightly elevated due to the influence of the lower and higher scores, 50 and 85, respectively. The mean is more sensitive to extreme values, contributing to its slight deviation from the median.
This emphasizes the importance of considering both measures to gain a comprehensive understanding of the dataset's central tendency.
The low score of 50 and high score of 85 offer insights into the range, illustrating the spread of values within the dataset. While the median and mean provide central tendencies, the range encapsulates the extremities, showcasing the diversity in scores.
In conclusion, the interplay of median, mean, low, and high scores collectively paints a nuanced picture of the dataset's distribution, balancing central tendencies with the influence of outliers to offer a more complete statistical overview.