Measures of Center and Shapes of Distribution

Front

What is the definition of the median?

Back

The median is the middle value in a data set when the numbers are arranged in ascending or descending order.

Front

How do you find the median in a data set with an odd number of values?

Back

To find the median in a data set with an odd number of values, arrange the numbers in order and select the middle number.

Front

How do you find the median in a data set with an even number of values?

Back

To find the median in a data set with an even number of values, arrange the numbers in order and calculate the average of the two middle numbers.

Front

What is the definition of the mean?

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

When is the mean a misleading measure of center?

Back

The mean can be misleading when a data set contains outliers or is skewed, as it can be affected by extreme values.

Front

What does it mean if a distribution is skewed right?

Back

A right-skewed distribution has a longer tail on the right side, indicating that there are a few high values that pull the mean to the right.

Front

What does it mean if a distribution is skewed left?

Back

A left-skewed distribution has a longer tail on the left side, indicating that there are a few low values that pull the mean to the left.

Front

What is the relationship between the mean and median in a right-skewed distribution?

Back

In a right-skewed distribution, the mean is typically greater than the median.

Front

What is the relationship between the mean and median in a left-skewed distribution?

Back

In a left-skewed distribution, the mean is typically less than the median.

Front

What is a mode in a data set?

Back

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