Thursday, September 27, 2012

Empirical Rule

Empirical Rule
The Empirical Rule is also known as the 68-95-99.7 rule. This rule is used to state the distribution of data that can fall under three different standard deviations. If you break the rule down, the chance of something occuring can happen in the first standard deviation of 68%, then within two standard deviations there is a 95% chance, and lastly, within three standard deviations there is a 99.7% chance of something occuring.
An example of the using the Empirical Rule is test scores from our stats class. You can find the mean of these test scores and find the standard deviation of the test scores. Using this data, you can find the percentage of certain scores scored on the test. For example, you can find the percentage of students that scored between a 75% to an 100% on the test.

The graph would be a bell shaped curve and would look something like this...






Friday, September 14, 2012

2.1 Games Project


2.1 Games Project

For this project, Mr. May's third bell class played three different games, Bashing Pumpkins, Simon Says, and Snap Shotz, and recorded the final scores of Bashing Pumpkins and Simon Says. We recorded the highest score of Snap Shotz and each member of the class recorded their favorite game. For each set of data, I created a frequency table and different graphs for each data set. 

According to the Favorite Game Bar Graph, the most popular game in the class was Bashing Pumpkins because it had the most frequent number of students that nominated this as their favorite game. This statement would be considered inferential statistics because I made this conclusion by observing the data. 







Thursday, September 6, 2012

Gummy Bear Launching

In this experiment we are trying to see whether there is a difference between launching the gummy bear on his back or on his bottom. In this experiment we used two factors the bear sitting on his bottom or the bear lying on his back. The level for this factor would be the bear sitting on his bottom and the bear lying on his back. For the second factor, we chose whether the chair worked better or without the chair. The level for this factor would be launching with the chair and launching without the chair. The four treatments that we came up with for our experiment were the bear sitting on his bottom with the chair, the bear sitting on his bottom without the chair, the bear lying on his back with the chair, and the bear lying on his back without the chair. When we tested which of the treatments worked better we had one person randomly pick from the four treatments, not knowing what order they went in on the sheet and started with that one and went through them all after that.

For collecting our data we had Alex stand in the same spot every time and he and only he shot the gummy bear. We counted by the number of tiles in the hallway and we used the tile that the bear stopped rolling or bouncing at. We had one person doing all of the counting so it was never a different method. Then once we got that number, we recorded it on our data table. Our data table was labeled with bottom with chair, bottom without chair, back with chair, and back without chair, and included 30 rounds, although we only got to 15 rounds per treatment.

Bottom With Chair Bottom Without Chair
Mean: 28.47 Mean: 62.20
Median: 24.00 Median: 63.00
Range: 57.00 Range: 126.00
Minimum: 1.00 Minimum: 3.00
Maximum: 58.00 Maximum: 129.00

Back With Chair Back Without Chair
Mean: 22.40 Mean: 40.13
Median: 24.00 Median: 34.00
Range: 36.00 Range: 108.00
Minimum: 4.00 Minimum: 13.00
Maximum: 40.00 Maximum: 121.00

We have concluded that the gummy bear went the furthest when it wasn’t using the chair. The gummy bear didn’t travel as far with the chair, this may be because it was really hard to situate the chair in the rubber band with the gummy bear sitting the right way and then shoot it the way it was supposed to be shot. We have also concluded that the gummy bear went further when it was sitting on its bottom rather than lying on its back. We think this may be because it was easier to hold and shoot if the gummy bear was vertical.

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3

bottom w/chair 15 0 28.47 5.06 19.61 1.00 12.00 24.00 48.00

bottom w/o chair 15 0 62.20 8.43 32.64 3.00 42.00 63.00 85.00

back w/chair 15 0 22.40 2.95 11.43 4.00 9.00 24.00 31.00

back w/ochair 15 0 40.13 7.59 29.41 13.00 17.00 34.00 57.00


Variable Maximum

bottom w/chair 58.00

bottom w/o chair 129.00

back w/chair 40.00

back w/ochair 121.00