Box Plots
Dot Plots
Histograms
Interpret Box Plots, Dot Plots, and Histograms
Outliers
100

What measure of center is most appropriate for describing a typical value for the data in a box plot?

Median

100

B

100

What do we need in order to create a histogram?

Data and a frequency table

100

Which city had a higher average monthly temperature?


Phoenix

100

What is an outlier?

A number that does not fit in with the rest of the data (could be bigger or smaller).

200
What measure of variability is more appropriate for a box plot?

Interquartile Range (IQR)

200

D

200

Describe the shape of the distribution.  How many values are represented in the histogram?

Skewed, 20 values

200

For vegetables, the middle 50% of the data falls between what two numbers?


25 and 75

200

What are reasons that we would not include an outlier?

Mistake

300

What makes up the 5 number summary?

Minimum

Q1

Median

Q3

Maximum

300

What measure of center do we use if the distribution is symmetric?

Mean

300


C, A, B

300

Select all the statements that must be true.  

A. The mean and median values of the 7th graders are the same.

B. The standard deviation for 6th graders is greater than the standard deviation of 7th graders.

C. The median values of 6th and 7th graders are the same.

D. If a 6th grader comes in at 70 inches, that would affect the mean more than the median.


B, D

300

If we remove outliers, what is more likely to change significantly: the mean or the median?

Mean

400

Check student's answers

400

What measure of center do we use if the distribution is skewed?

Median

400

Use the shape of the distribution to compare the mean and the median.  Are the mean and median equal?  If not, which is greater?

Mean is bigger than the median because the data is skewed right so the larger numbers pull the mean up.

400

Select all that are true.

A. Last year's grades have a greater variability than this year's.

B. The standard deviation of this year's scores is greater than the standard deviation of last year's.

C. The mean of last year's grades is less than the mean of this year's.

D. Using only this year's scores, the mean is about equal to the median.


B, C

400

What equations do we use to determine outliers?

Q3 + (1.5 x IQR)

Q1 - (1.5 x IQR)

500

Create a box plot for the data.

Check student's answers

500

What measure of variability do we use if the distribution is symmetric? skewed?

Standard Deviation, IQR

500

See student work.

500

Use the shape of the distributions to select the appropriate measures of center and variability.  


Median, IQR


500

a. See student work

b. No - see student work.

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