The emperical rule is also called the 68-95-99.7 rule. This is used on a bell shaped curve graph and you use standard deviation to label locations on the graph. The first line you draw in is the z score and thats down the middle of the graph. Then you have a standard deviation of 1 so theres a line for -1 and 1 and between those values is 68% of your data. With a standard deviation of two it's now 95% of your data and with a standard deviation of three its 99.7% of your data.
Example: It takes you 30 minutes to get to school and the standard deviation is 2 minutes.
Suppose a normal model is appropriate.
A) How often will you get to school less than 32 minutes? Answer : 84%
B) How often will it take more than 34 minutes? Answer: 2.5%
Cheetah girl was born in Brooklyn New York in 1970. After
reaching the age of 23 she was bitten by a cheetah which gave her super powers
and stopped her from aging from then on. Its powers are invisible, extremely
fast, and she can fly. She first discovered her powers when she was walking
down the street to go to the grocery store when she heard a cry for help. This
old woman’s purse was stolen by a thief and immediately cheetah girl said she
would track them down. At this moment cheetah girl realized she was born to be
a super hero. Without cheetah girl that sweet old lady would’ve never got her
purse back.
In class we played three different games with a partner and
recorded scores randomly for the different games for our class. For example we
used the 4th score on bashing pumpkins, the 5th score on Simon
says, and the best score out of five on snap shotz. Using that data we created
the following graphs and frequency distributions to display what we found.
1) Bashing Pumpkins - Freuqency Distribution & Histogram
2) Simon Says - Relative Frequency Distibution & Frequency Polygon
3) Snap Shotz - Cumulative Frequency Distibution & Ogive
4. Best Game- Bar Graph and Frequency Distribution Table
The goal of the experiment is to see if there is a
difference between launching a gummi bear while it sits on the rear end or if
it is launched from its back. There are two levels which are lying on its back
and sitting on his butt. The two factors we are adding is the person who
launches the gummi bear and the sitting position of the gummi bear. The four
different treatments we have in our experiment are RJ butt, RJ back, Andrew
butt, and Andrew back. Our randomization was based on rolling a dice to see who
launched first then we went in a counter clockwise order to see who launched
next. The way we collected our data was by making a data table and recording
the measurements of the launches. The way we measured the distance was by
counting the tiles and we count up until the tile the gummi bear landed in.
The mean of RJ butt is 5.1 tiles, the median was 5, and the
range was 12.
The mean of RJ back is 6.7 tiles, the median was 6, and the
range was 11.
The mean of Andrew butt is 4.53 tiles, the median was 5, and
the range was 5.
The mean of Andrew back is 5.2 tiles, the median was 5, and
the range was 6.
The inferential statistics we collected was that Andrew on
his butt was the most consistent data we collected. The most inconsistent data
we collected was RJ on his back.Therefore
if we are doing this experiment to see if there’s a difference between
launching it on its butt or on its back we can conclude that when you put him
on his back he shoots farther.
4. Best Game- Bar Graph and Frequency Distribution Table 
