DATA ANALYSIS and PROBABILITY

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Expectations of Probabilities

Theres at least one thing you can expect within these pages, and thats, that you will learn probabilities in a fun way with amusement parks!

Explanation
Experimenting is a fairly freeformed and loose thing. You come up with your own hypothesis and get to test it against the probabilities. For example, if you have a hypothesis that you will roll a six on a die, and roll it, you are testing your hypothesis agaisnt probabilities. You have a 1/6 chance of being correct. After experimenting you need to state the odds. So, go try the Activity and Brainstorming fun to try it out!

Example
Experiment

Out of the 10 bumper cars, 1 was blue, 2 green, 3 purple, and 4 orange. Which one are you most likely to ride on?

Expectation
I expect that that i will ride on one of the orange ones because it has the greatest likelyhood of being chosen because it's the highest of the available numbers.

Result
My expectation was incorrect though the orang had the highest likelyhood. I still chose the second most unlikely car, one of the green cars. That almost proves that anything is possible with mathematics. So even if the statistics are against you even the under dog can win!

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Sunshine State Standards 6-8

Math/Data Analysis and Probability

Standard 2: The student identifies patterns and makes predictions from an orderly display of data using concepts of probability and statistics. (MA.E.2.3).

Objective 1: Compares experimental results with mathematical expectations of probabilities.

Amusement Park Activity

Bumper Data: Go to a bumper car ride at an amusment park an count the number of cars of a certain color. Based on these numbers, what car will you get, most likely? Were you correct?

 

Brainstorming Fun

Free Change- Out of the change in
your pocket, count how many are
dimes, quarters, nickels, or
pennies.
Place them back in your pocket
and pick one out. What were the odds
you got the coin you did?

Vocabulary

Expectation- eager anticipation

Experimental- constituting or
undergoing a test.

Mathematical- of or pertaining to
mathematic expressions.

Probability- the likelyhood that a
given event will occur.

Result- to occur or exist as a
consequence of a particular cause.

Hypothesis- Educated guess.


Go to this site and find very helpful
information using probabilities.