Measures of Center and Outliers

The video tutorial discusses the three measures of center: mean, median, and mode. It explains that the mode is not a reliable measure of center as it can be skewed by data extremes. The mean is suitable when there are no outliers, as outliers can significantly affect the average. The median is recommended when outliers are present, as it accurately represents the center without being influenced by them. The tutorial concludes by analyzing a data set with an outlier, recommending the use of the median to ensure accurate representation of the data's center.

What is the primary purpose of using measures of center in data analysis?

• To identify outliers in the data

• To summarize and represent the data set

• To calculate the range of the data set

• To find the highest value in a data set

Which of the following is NOT a measure of center?

• Mode

• Range

• Median

• Mean

Why is the mode often not a good measure of center?

• It is always the largest value

• It is difficult to calculate

• It can be at the extremes of the data set

• It is always the smallest value

In the data set 2, 4, 4, 4, 5, 7, 9, what is the mode?

• 2

• 4

• 5

• 7

In a data set with no repeated values, which measure of center is undefined?

• Mode

• Median

• Mean

• Range

In what situation is the mean a suitable measure of center?

• When there are outliers

• When the data set is large

• When the data set is small

• When there are no outliers

How do outliers affect the mean of a data set?

• They can greatly skew the mean

• They make the mean more accurate

• They make the mean less important

• They have no effect

What is the mean of the data set: 10, 15, 20, 25, 30?

• 25

• 20

• 15

• 30

Which measure of center is most affected by extremely high or low values?

• Mean

• Median

• Mode

• None of the above

Which measure of center is least affected by outliers?

• Range

• Mode

• Median

• Mean