Questions: Question 28 2 pts Which of the following measures of central tendency is/are sensitive to extreme values? Mean Median Mode All of the above

Question 28
2 pts

Which of the following measures of central tendency is/are sensitive to extreme values?
Mean
Median
Mode
All of the above

Transcript text: Question 28 2 pts Which of the following measures of central tendency is/are sensitive to extreme values? Mean Median Mode All of the above

Solution

Solution Steps

Step 1: Understanding Measures of Central Tendency

The measures of central tendency include the mean, median, and mode. Each of these measures provides a different way of representing the center of a data set.

Step 2: Sensitivity to Extreme Values

Mean: The mean is calculated by summing all the values and dividing by the number of values. It is sensitive to extreme values because a single outlier can significantly affect the sum and, consequently, the mean.
Median: The median is the middle value when the data is ordered. It is not sensitive to extreme values because it depends only on the order of the data, not the actual values.
Mode: The mode is the most frequently occurring value in the data set. It is not sensitive to extreme values because it is determined by frequency, not magnitude.

Step 3: Conclusion

Based on the analysis, the mean is the measure of central tendency that is sensitive to extreme values.