? Which one does not belong with the other three? Explain your reasoning.range interquartile rangemean mean absolute deviation

Answer 1

To determine which term does not belong with the others, let's analyze each term:

1. Range: This is a measure of dispersion in a dataset that calculates the difference between the maximum and minimum values.

2. Interquartile Range (IQR): This is another measure of dispersion that represents the range of the middle 50% of the data. It is the difference between the first quartile (Q1) and the third quartile (Q3).

3. Mean: This is a measure of central tendency, calculated by adding up all the values in a dataset and dividing by the number of values.

4. Mean Absolute Deviation (MAD): This is a measure of dispersion that quantifies the average absolute difference between each data point and the mean of the dataset.

Now, comparing these terms:

• The range and interquartile range (IQR) are both measures of dispersion (how spread out the values are).
• The mean is a measure of central tendency (the average value of the dataset).
• The mean absolute deviation (MAD), while it involves the mean, is still a measure of dispersion.

Given this analysis, the term that does not belong with the others is mean. It is the only measure of central tendency among a group of measures of dispersion.