Question

name and describe three measures of central tendency used to summarize data. tips for success read the assignment carefully and make sure you answer each part of the question or questions. after youve written your response, go back and read it again to make sure your thoughts are clear.

Explanation:

The mean is the sum of all data - points divided by the number of data - points, representing the average value. The median is the middle value when data is ordered; if there are an even number of data - points, it's the average of the two middle values. The mode is the value that appears most frequently in the data set.

Answer:

1. Mean: The arithmetic average of a set of data, calculated as $\sum_{i = 1}^{n}x_{i}/n$ where $x_{i}$ are the data - points and $n$ is the number of data - points.
2. Median: The middle value of a sorted data set. If $n$ is odd, it's the $(\frac{n + 1}{2})$ - th value; if $n$ is even, it's the average of the $\frac{n}{2}$ - th and $(\frac{n}{2}+1)$ - th values.
3. Mode: The value with the highest frequency in the data set. A data set can have one mode (unimodal), more than one mode (multimodal), or no mode if no value repeats more often than others.