Probability and Measure of Center and Variability

What is the Mode?
  22,7,22,1,7,18,18,16,6,6,7

• 7

• 18

• 21

• 6

Which class has the higher test score median? 

• Class #1

• Class # 2 

• The medians are equal

• The median is not shown here. 

The double line plot shows the number of students who attended the home games of the baseball team for two recent seasons.  Which of the following statements is NOT true.

• The median attendance for 2009 was less than the median attendance than 2010.

• The attendance for 2010 was more consistent, so the MAD would be smaller than the MAD for 2009.

• The attendance for 2009 was more consistent, so the MAD would be smaller than the MAD for 2010.

• The attendance for 2010 ranged from 20-27.

A data set consists of the numbers 2, 2, 5, 6 and 15.  Which statement is true for this data?

• median > mean

• mean = mode

• mode < median

• median = mode

For which group of data does the mean equal the mode?

• 4, 5, 5, 8

• 4, 4, 6, 6

• 4, 5, 6, 6

• 4, 5, 5, 6

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

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 mean and the median are both ways to measure the center for a set of data.

• Median

• Mode

• Mean

• Measures of Center-