Day 2 - Chapter 2.1 Transformations & Density Curves

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

taxi cabs In 2010, taxi cabs in NYC charged an initial fee of $2.50 plus $2 per mile. In equation form, fare = 2.50 + 2(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?

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

Mean or Median? Equal-Areas point Balance point

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?