Determine an Appropriate Measure of Center and Variability

The interquartile range (IQR) of a data set is the difference between the third and first quartiles. It represents the range of the middle half of the data.

• True

• False

The mode score on the 6th grade math test was 94! Which of these interpretations MUST be correct?

• 94 was the highest score on the test.

• More students received a 94 than any other score

• No student scored below a 94

• A score of 91 was slightly below average.

Which class has the higher test score median? 

• Class #1

• Class # 2 

• The medians are equal

• The median is not shown here. 

You are given a list of numbers with a median of 10.  Each of the numbers is doubled.  What will happen to the median of the second set of numbers?

• It will increase by one-half

• It will double

• It will stay the same

• Not enough information is given

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

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.

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

The list below shows the number of words per minute students in Mrs. DeFelice's class typed last week:
42, 55 ,62, 39, 38, 70, 54, 56, 73.
Which would change the range from 35 to 38?

• A new student types 38 wpm

• The student that  typed 39 wpm moved

• A new student types 35 wpm

• The student that typed 73 wpm movedd

Which measurements would represent the BEST measures of center & variability for the data set shown?

• Mean

• Median

• IQR

• Range

For this data set, the​ (a)   is the best measure of center and the​ (b)   is the better measure of variation.

• median

• IQR

• range

• mean

• mode