Matchstick Puzzles and Outlier Identification - Fun Challenges and Statistics Lesson

Question Take away six matches to leave 10

Question • Take away four matchsticks to leave exactly four • small equilateral triangles.

Question • Can you move two matches to make 7 squares.

Question • Take away two matches to leave two squares.

Question • Arrange four matches and a coin as shown below • to represent a glass containing a cherry. By moving two matches only, remove the cherry from the glass, but leave the glass intact.

Question • Move one match to leave a square Square

Problem Number 5 How many moves to get the cherry outside of the fancy glass?

Outliers To be able to identify an outlier using the Inter Quartile Range

What is an outlier? • In a set of numbers, a number that is much LARGER or much SMALLER than the rest of the numbers is called an Outlier.

Say we have the following data:1,2,5,5,7,8,10,11,11,12,15,20 • Find the median first. It’s the middle point. • Then find the quartiles, Q1 and Q3. They are the middles of the lower and upper half, respectively. • The last thing to do is determine whether there are outliers using the 1.5*IQR Rule

So how would we draw a box plot that shows an outlier

min Q1 Q3 max 1,2,5,5,7,8,10,11,12,12,18,25 M 1 5 9 12 18 25 -5.5 22.5 1.5IQR IQR = 12 – 5 = 7 1.5IQR 5 - 1.5 * 7 = -5.5 12 + 1.5 * 7 = 22.5 25 is considered an outlier and will be a point in a boxplot and the ‘whisker’ ends at the last non-outlier data point.

Do any of these sets of data have outliers • 21, 27, 31, 35, 29, 42, 45, 50, 54, 61, 69 • 108, 134, 141, 152, 153, 157, 159, 160, 160, 160, 161, 162, 167, 169, 173 • 4, 4, 4, 5, 5, 5, 7, 9, 11, 13, 15, 33 • 6, 7, 7, 8, 8, 9, 11, 12, 13, 15, 18 • 4, 4, 7, 7, 8, 8, 8, 9, 9, 11, 13 • HINT – Use the IQR

Matchstick Puzzles and Outlier Identification - Fun Challenges and Statistics Lesson