Measures of Center/Variability

Front

What is the definition of the mode in a data set?

Back

The mode is the value that appears most frequently in a data set.

Front

How do you calculate the median of a data set?

Back

To find the median, arrange the data in ascending order and identify the middle value. If there is an even number of values, the median is the average of the two middle values.

Front

What is the mean, and how is it calculated?

Back

The mean is the average of a data set, calculated by adding all the values together and dividing by the number of values.

Front

What is the range of a data set?

Back

The range is the difference between the highest and lowest values in a data set.

Front

In the data set {2, 2, 5, 6, 15}, what is the mode?

Back

The mode is 2, as it appears most frequently.

Front

In the data set {1, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 7, 9}, what is the median?

Back

The median is 4, as it is the middle value when the data is arranged in order.

Front

What does it mean if the mode is less than the median in a data set?

Back

It indicates that the data set may be skewed to the right, with a few high values pulling the median up.

Front

If a student wants an average score of 80 after four tests and has scores of 72, 80, and 82, what score is needed on the fourth test?

Back

The student needs to score 86 on the fourth test to achieve an average of 80.

Front

What is the importance of the mean in evaluating a data set?

Back

The mean provides a measure of central tendency that summarizes the overall performance of the data set.

Front

How can you determine if a score is a mode in a data set?

Back

A score is a mode if it appears more frequently than any other score in the data set.