High School: Statistics and Probability Statistics

Histograms and Frequency

The submitter reports: “There was some controversy in our department over the fact that the y axis has been labeled as frequency. The y axis should be labeled frequency density. However the majority of students did manage to ignore or relabel the axis correctly. This student has become confused by the whole thing.”

Ignoring the mislabeling of the problem, what evidence do we have about student knowledge?

Thanks to Ian Hopkins for the submission. Follow him on twitter too.

Interpreting Categorical and Quantitative Data Statistics

Mean (Number of) Girls (and Boys)

“Find the mean number of siblings.”
Student 1: (0+1+2+3+4+5)/6 = 2.5
Student 2: (1+4+6+4+2+1)/18=1
Student 3: (1+4+6+4+2+1)/6=3
Student 4: (0+1+2+3+4+5)/18 = 0.83
What sort of misconceptions can you dig out of these student responses? If this were your class, how would you respond?