I need examples of the mean, median, mode of populations where it would be the most appropriate indic..?

Question

indication of central tendency

Answer 1

The arithmetic mean is the average or the sum of the data divided by the sample size. It is an appropriate measure of central tendancy for data taken for a normal population. 505 of the data is on one side of the mean and 50% on the other (Bell shaped curve). In this case, the mean equals the median.

The median is the exact middle of the data by count. Splits the data by count not value. (If you had 9 data points the median would be the 5th number when order from smallest to highest.) It is a good measure of central tendency for skewed data or data with long tails. Nonnormal. For highly skewed data, the mean and median could be far apart.

Mode is the most frequent value in the data set. It is good for central tendency for data with multiple modes (bimodal, trimodal, etc). It is also good for nominal data (nonnumeric data).

Answer 2

Mean: (the "mean" one, because it makes you do the most work) Add up all the values and divide by how many there are.
Example: What is the average age of someone who lives in Olympia?

Media: (like the "median" of the freeway) the middle value, if you line them all up *in order*.
Example: What is the median income of residents in this city? (Median leaves out the "outliers" -- the "out there" amounts that tend to sway the average, such as Bill Gates or Donald Trump)

Mode: (the one or ones that happen the most often) Find the one that happens the most; If there's a tie (even a seven-way tie), then every one of the ones that tied for first qualifies as a mode.
Example: Which student is the tallest? (If three kids are the same height, then all three are the tallest.)

Barjesse37

Answer 3

no idea lol'