Asked by Daphne Scotese on May 19, 2024
Verified
Here are some scores from a recent Mathematics exam: 95.5,65.9,93.2,80.6,56.8,50,86.4,54.5,40.9,77.3,79.5,10,65.9,70.5,15,77.3,81.8,12,50,79.5,60.2.Which is a better summary of the scores,the mean or the median? Explain.
A) Mean,because the data is so skewed to the left.
B) Median,because the data is so skewed to the left.
C) Either,because the data is symmetric.
D) Median,because the data is so skewed to the right.
E) Mean,because the data is so skewed to the right.
Mathematics Exam
A formal test assessing knowledge and skills in the field of mathematics.
Skewed
A distribution that is not symmetrical, where data points cluster more on one side of the scale than the other, affecting the mean, median, and mode.
- Analyze the relevance of descriptive statistics in condensing data based on distribution characteristics.
Verified Answer
CS
Christopher SanchezMay 25, 2024
Final Answer :
B
Explanation :
The data is skewed to the left, meaning that there are some lower scores that are dragging down the overall average. The median is less affected by extreme scores and provides a better representation of the central tendency of the data. Therefore, the median is a better summary of the scores.
Learning Objectives
- Analyze the relevance of descriptive statistics in condensing data based on distribution characteristics.