Mean vs Median

For the data shown in the histogram, which would be a better measure of the center?

• Mean

• Median

For the data shown in the histogram, which would be a better measure of the center?

• Mean

• Median

What is the mean?

• The value that occurs the most often in a data set

• The middle number in an ordered set of data

• The sum of all the numbers in a data set divided by the size

• The sum of the between the greatest and the least elements, divided by two

If the mean is greater than the median, what can be said about the data distribution?

• It is approximately symmetrical

• It is skewed left

• It is skewed right

What is the relationship between the mean and median in a symmetric distribution?

• The mean is always greater than the median.

• The median is always greater than the mean.

• The mean and median are unrelated.

• The mean and median are equal.

When is the median a better measure of central tendency?

• When the data set is small

• When the data set does not contain outliers or extreme values

• When the data set is normally distributed

• When the data set contains outliers or extreme values, or when the data set is not normally distributed.

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

• The mean and median are both pulled in the direction of the skewness in a skewed distribution.

• The median is typically pulled in the direction of the skewness, while the mean remains relatively unaffected.

• The mean and median are always equal in a skewed distribution.

• The mean is typically pulled in the direction of the skewness, while the median remains relatively unaffected.

What is the definition of median?

• The median is the sum of all the numbers in a set divided by the total number of values.

• The median is the middle value in a set of numbers when they are arranged in order.

• The median is the highest value in a set of numbers.

• The median is the average of the smallest and largest values in a set of numbers.

How is the mean calculated?

• Sum of all values divided by the total number of values

• Maximum value divided by the total number of values

• Difference of all values divided by the total number of values

• Product of all values divided by the total number of values

When is the mean a better measure of central tendency?

• When the data is categorical

• When the data is missing values

• When the data is skewed

• When the data is normally distributed or symmetrically distributed.