1.Which of the following are measures of central tendency? Checkall that apply.

A.The median
B.A sample statistic
C.The mode
D.The lowest value
E. The mean

A measure of central tendency is a single value that identifiesthe center of a distribution. The various measures of centraltendency are based on different concepts of the center.

Defining the middle of a distribution as where the scores aredivided into two equal-sized groups is the basis for the _________.

Explanation:
The three standard measures of central tendency each rely on adifferent concept of the center of a distribution: for the mean,the arithmetic average of the scores; for the median, the midpointof the ordered scores; and for the mode, the score with thegreatest frequency.

3. The mode is ____________________.

Explanation:
The mean is the arithmetic average of the scores, the median is themidpoint of the ordered scores, and the mode is the score with thegreatest frequency.
Note that a distribution has only one mean and only one median, butit is possible to have more than one mode.

4. What is the notation for the mean?

A. M for both the sample mean and the population mean
B. There is no symbol for the mean
C. M for the sample mean and ? for the population mean
D. ? for both the sample mean and the population mean

Explanation:
There is no symbol (notation) for the median or the mode. Thepopulation median and the sample median are each identified by theword “median”; the population mode and the sample mode are eachidentified by the word “mode.”

The mean, on the other hand, is identified by the Greek letter ?if the mean is for a population and by the Roman letter M if themean is for a sample. It is standard practice to use Greek lettersfor population parameters and Roman letters for samplestatistics.