Test on Measure of Variability

Which statistics measures how spread out the data values are in a data set?

• mean

• mode

• maximum value

• standard deviation

Which class was more consistent in their Algebra Scores?

• Class #2

• Class #1

• Both classes had the same consistency.

• 50%

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.

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

Here are the times (in minutes) that six students needed to finish a quiz:
10, 14, 15, 15, 14, 10
The Mean Absolute Deviation for this data is 2.
A seventh student took 8 minutes to finish the quiz.  We added his time to our data.  What will happen to the MAD?

• It will decrease because our range is bigger.

• It will increase because our range is bigger.

• It will not change.

• It will decrease because we have more numbers in our data set.

The dot plots below show the number of customers at Mr. Burger and Mr. Chicken during rush hour over the course of 10 days. Which statement correctly compares the distribution of the number of customers at each restaurant during rush hour?

• Mr. Burger's number of customers during rush hour, is greater than Mr. Chicken's number of customers during rush hour.

• Mr. Burger's median number of customers during rush hour, is greater than Mr. Chicken's median number of customers during rush hour.

• There is more variability in Mr. Chicken's number of customers during rush hour, than Mr. Burger's number of customers during rush hour.

• There is less variability in Mr. Chicken's number of customers during rush hour, than Mr. Burger's number of customers during rush hour.

The data below shows the scores of two groups of ten students on a math quiz and a science quiz. Based on the data, which statements are true?

• The median score was greater for math, but the variability was greater for science.

• The median score was greater for science, but the variability was greater for math.

• Both the median score and variability for the math scores are less than that of the science scores.

• Both the median score and variability of the math scores are greater than that of the science scores.

• The range for science is less than the range for math.

The box and whisker plots below, illustrate the scores earned by 2 biology classes on a recent test. Select all statements that are supported by the plots above.

• The range of the 3^rd period scores is less than the range of the 5^th period scores.

• The median of the 5^th period scores is greater than the median of the 3^rd period scores.

• The number of students who took the test is larger in the 5^th period class than in the 3^rd period class.

• The interquartile range is the same for both classes.

• The 3^rd period class has a higher median but has a lower range than the 5^th period class.

Given the following distributions, which has the smallest IQR?

• Red

• Purple

• Black

Given a set of skewed data, which is an appropriate measure of spread?

• Mean

• Median

• Standard Deviation

• Interquartile Range (IQR)