Histogram Puzzles In this exploration you will solve some histogram
puzzles: Given a histogram, you will change bin widths and starting
values to determine the data set it represents.
Sketch
This sketch shows the histogram of ten data points that
are hidden. The data points are integers with values in the interval
from 0 to 30. Your challenge is to determine the values of all ten data
points.
You may adjust the histogram's starting value S
and bin width W. The histogram will be updated dynamically.
Continue to slide these two points until you believe that you know all
the data points. You can use any number from 1 to 30 for S and
any number from 5 to 10 for W. Each data point on a boundary
between two bins is put into the bin on the right.
Press Show Data to see the solution or press New
Puzzle twice to get a new puzzle.
Investigate
 See how many data points you can determine. Then
press Show Data to see the data points and check your answer.
 Press New
Puzzle twice to get a new puzzle. You can do as many puzzles as
you like.
 How can you determine the smallest data value? The
largest?
 Which do you find more helpful, adjusting the start
value or the width value? Explain.
Sketch
This sketch is like the one above, but now there are
20 data points whose values range from 0 to 40.
Investigate
 See how many data points you can determine. Then
click to see the data points and check your answer.
 You can do as many puzzles as you like.
