Assignment #4 (pgs. 167-169 4.24, 4.25, 4.26)

Warmup 10 fifth-graders were randomly chosen to take an IQ test. Their results were:

145 139 126 122 125 130 96 110 118 118

a. Use your calculator to find the mean, median, and standard deviation of the given sample. b. interpret the standard deviation in context to the data.

Notes

Standard deviation = typical distance from the mean; sensitive to outliers range = maximum – minimum; sensitive to outliers Quartiles divide the data set into 4 parts lower quartile (Q1) = 25th percentile; median of the lower half median = 50th percentile

upper quartile (Q3) = 75th percentile; median of the upper half interquartile range (IQR) = upper quartile - lower quartile; Q3 – Q1 a measure of variability that is resistant to outliers

Ex.1 Find the five-number summary, range, and IQR a. These are the milages of 8 different models of cars: 22, 23, 14, 28, 25, 33, 30, 29

b. Number of pairs of shoes a teenager has: 50, 26, 31, 57, 19, 24, 22, 23, 38, 13, 34 Ex.2 College Prices (describe the tuition and fees of the top 20 colleges and universities) http://colleges.usnews.rankingsandreviews.com/best-colleges/rankings/national-universities

AP MC

Closure At a Taylor Swift concert, I noticed that there was a wide range of ages for the people there. Many of her fans came with their parents. I asked a random sample of T.S fans their age, put the data in my N-spire, and the got the following results: min = 8 Q1 = 15 Q3 = 28 max = 62

A few months later at a Foo Fighters concert, I also noticed a wide range in the ages of the concertgoers. Many of the older fans brought their kids. I surveyed some fans about their age and found the following statistics: min = 8 Q1 = 32 Q3 = 55 max = 62

What conclusions can you make with the given information?