Explain when the median of a data set is explain when the median of a data set is a better measure of center than the mean better measure of center than the mean

A common used example is home prices. Many home price values are clustered together (say in the 50 thousand to 150 thousand range). However, there are very expensive outliers, such as million or multi-million dollar (celebrity) homes. Those few outliers pull on the arithmetic mean to make it larger than what the main cluster is centered around. So the mean is larger than it should be. What we could do is ignore those outliers or we can look at the median to get a better sense of what the center is. So that's why home prices often go with the median rather than the mean.

explanation

Step-by-step explanation:

When there is an outlier in the data set, the dot plot or histogram will be skewed. In a skewed representation, the mean is pulled up or down toward the tail of the data. Therefore, skewed data affects the mean more than the median.

SAMPLE ANSWER

Step-by-step explanation:

When there is an outlier in the data set, the dot plot or histogram will be skewed. In a skewed representation, the mean is pulled up or down toward the tail of the data. Therefore, skewed data affects the mean more than the median.

Sample Response: When there is an outlier in the data set, the dot plot or histogram will be skewed. In a skewed representation, the mean is pulled up or down toward the tail of the data. Therefore, skewed data affects the mean more than the median.

What did you include in your response? Check all that apply.

The dot plot or histogram will be skewed.

The mean is pulled up or down toward the tail.

The mean is affected more than the median.

Sample Response: When there is an outlier in the data set, the dot plot or histogram will be skewed. In a skewed representation, the mean is pulled up or down toward the tail of the data. Therefore, skewed data affects the mean more than the median.

What did you include in your response? Check all that apply.

The dot plot or histogram will be skewed.

The mean is pulled up or down toward the tail.

The mean is affected more than the median.

The dot plot or histogram will be skewed.

The mean is pulled up or down toward the tail.

The mean is affected more than the median.

Sample Response: When there is an outlier in the data set, the dot plot or histogram will be skewed. In a skewed representation, the mean is pulled up or down toward the tail of the data. Therefore, skewed data affects the mean more than the median.

The median of a data set is better when you have a term or terms that are not close to the other terms

Step-by-step explanation:

For example:

Say you have the data set

1, 15, 17, 18, 22, 84

The median of these terms would be 17.5

       (it is the exact center of the data group)

17 + 18 = 35

35/2 = 17.5

The mean of these terms would be 26.17  

    (this number is not close to the center because the numbers 1 and 84

      are not close enough to the other terms)

1 + 15 + 17 + 18 + 22 + 84 = 157

157/6 = 26.17

When there is an outlier in the data set, the dot plot or histogram will be skewed. In a skewed representation, the mean is pulled up or down toward the tail of the data. Therefore, skewed data affects the mean more than the median.

Explanation:

The dot plot or histogram will be skewed.

When there is an outlier in the data set, the dot plot or histogram will be skewed. In a skewed representation, the mean is pulled up or down toward the tail of the data. Therefore, skewed data affects the mean more than the median.

Step-by-step explanation:

an altitude of 15,000 feet

step-by-step explanation: