Measures of Center and Statistical Questions

calculate the median for the following set of scores

45, 69, 69, 87, 88, 92, 99, 100

• 87

• 55

• 87.5

• 99

A data set can have more than one median?

• True

• False

In order to find the median, the data must be sorted from least to greatest first.

• True

• False

The “average” or “fair share” value for the data. The mean is also the balance point of the corresponding data distribution. 𝑎𝑟𝑖𝑡ℎ𝑚𝑒𝑡𝑖𝑐 𝑚𝑒𝑎𝑛 = 𝑥̅= 𝑥1 + 𝑥2 + 𝑥3 +∙∙∙ 𝑥𝑛 𝑛

• Mean-

• Median

• Mode

• Range

The value for which half the numbers are larger and half are smaller. If there are two middle numbers, the median is the arithmetic mean of the two middle numbers. Note: The median is a good choice to represent the center of a distribution when the distribution is skewed or outliers are present.

• Median-

• Mode

• Box Plot

• Mean

The number that occurs the most often in a list. There can be more than one mode, or no mode.

• Range

• Median

• Mode

• Mean

a summary measure that attempts to describe a whole set of data with a single value that represents the middle or centre of its distribution.

• Median

• Mean

• Mode

• Central Tendency

A diagram that summarizes data using the median, the upper and lowers quartiles, and the extreme values (minimum and maximum). Box and whisker plots are also known as box plots. It is constructed from the five-number summary of the data: Minimum, Q1 (lower quartile), Q2 (median), Q3 (upper quartile), Maximum.

• Dot Plot

• Box and Whisker Plot

• Line Plot

• Bar Graph

The number of times an item, number, or event occurs in a set of data

• Median

• Frequency

• Mode

• Mean

The difference between the first and third quartiles. (Note that the first quartile and third quartiles are sometimes called upper and lower quartiles.)

• Inter-Quartile Range (IQR)-

• Range

• Mean

• Median