Warm-up 2.1 Visualizing Distributions: Shape, Center and Spread

Student of the day Block 1

Student of the day! Block 2

Ch. 2 Vocabulary 1)Normal distribution 2)Mode 3)Standard deviation 4)Skewed 5)Median 6)Lower quartile 7)Upper quartile 8)Unimodal 9)Bimodal 10)Outlier 11)cluster 13) Gap 14) Frequency 15) Relative frequency histogram 16) Interquartile range 17) Variance 18) Resistant to outliers 19) Sensitive to outliers 20) Percentile 21) Cumulative percentage plot 22) z-score

2.1 Visualizing Distributions: Shape, Center and Spread Whenever describing a set of data or graph remember SOCS. S – ShapeO – OutliersC – CenterS – Spread Shapes

More Shapes of Distributions

Center - Mean and/or Median Find the mean and median of each of the data sets. Which of the two do you think better describes the data? Normal DistributionSkewed Right Skewed Left 4 | 7 4 | 58 4 | 0 5 | 35 5 | | 5 6 | | | 2 7 | | 17 7 | 8 | | 8 | 17 9 | | 2 9 | | | 5 10 | | 1 11 | 0 11 | 58 Make observations about how the median and mean compare In each of the data sets.

Spread - Range, IQR, and Standard Deviation Atlanta 84 Boston 22 Charlotte 29 Chicago 180 Cincinnati 23 Cleveland 36 Dallas 76 Denver 28 Detroit 107 Houston 101 Kansas City 27 Los Angeles 299 Miami 100 New Orleans47 New York 310 Philadelphia 120 Phoenix 79 Pittsburgh 33 Portland 34 Sacramento 37 Salt Lake City 28 San Diego 96 San Francisco 43 Seattle 37 Annual Number Pedestian Deaths Directions on making a box plot Including on finding Range: 1st Q: 3 rd Q: IQR:

Create another Box Plot and Outlier Create a box plot of the data. Median: ____ 1 st Q: ____ 3 rd Q: ____ IQR: ____ Are any of the amounts of rainfall for the 80’s or 90’s are outliers?

Against All Odds What is Statistics? Answer the questions in sentences. I will collect these and grade these for participation while you take the quiz after. This was recorded in the 80’s so be prepared for some interesting fashion. In between answering the questions, as an option you can make comments on fashion at the bottom of your sheet. If there is more than 40 minutes remaining after the video, we can see if anyone want so share their comments on the fashion.

H.W. E # 1- 5 When sketching the distributions for E#3 and #4, sketch some kind of graph like a dotplot, histogram or boxplot and label the scale at the bottom. Be sure to answer questions thoughtfully.