1. Day 2 - Chapter 2.1
Transformations & Density Curves

2. Let’s summarize Transforming data
adding/
subtracting
multiplying/
dividing
Shape
Center
Spread

3. taxi cabs
In 2010, taxi cabs in NYC charged an initial fee of $2.50 plus $2 per mile. In equation form, fare = (miles). At the end of the month, a businessman collects all his taxi cab receipts and calculates some numerical summaries. The mean fare he paid was $15.45, with a standard deviation of $10.20.
What are the mean and standard deviation of the lengths of his cab rides in miles?

4. density curves always on or above the horizontal axis
has an area of exactly 1 underneath it
describes the overall pattern of a distribution (approximately)
area under it and between an interval gives the proportion of observations that fall in that interval

5. Mean or Median?
Equal-Areas point
Balance point

6. Explain why this curve satisfies the two requirements for a density curve
The proportion of accidents that occur in the first mile of the path is the area under the density curve between 0 and 1 mile. What is this area?
Sue’s property adjoins the bike path between the 0.8 mile mark and the 1.1 mile mark. What proportion of accidents happen in front of Sue’s property?