Warm-up2.1 Visualizing Distributions: Shape, Center and Spread

Student of the day Block 1

Student of the day!Block 2

Ch. 2 Vocabulary

1) Normal distribution2) Mode3) Standard deviation4) Skewed5) Median6) Lower quartile7) Upper quartile8) Unimodal9) Bimodal10) Outlier11) cluster

13) Gap14) Frequency15) Relative frequency

histogram16) Interquartile range17) Variance18) Resistant to outliers19) Sensitive to outliers20) Percentile21) Cumulative

percentage plot22) z-score

2.1 Visualizing Distributions: Shape, Center and Spread

Whenever describing a set of data or graph remember SOCS.S – Shape O – Outliers C – Center S – SpreadShapes

More Shapes of Distributions

Center - Mean and/or MedianFind the mean and median of each of the data sets. Which ofthe two do you think better describes the data? Normal Distribution Skewed Right Skewed Left 4 | 7 4 | 58 4 | 0 5 | 35 5 | 011245569 5 | 5 6 | 005 6 | 2445 6 | 2 7 | 11299 7 | 17 7 | 8 | 67899 8 | 8 | 17 9 | 0199 9 | 2 9 | 2445 10 | 14 10 | 5 10 |

011245569 11 | 1 11 | 0 11 | 58Make observations about how the median and mean compareIn each of the data sets.

Spread - Range, IQR, andStandard Deviation

Atlanta 84Boston 22Charlotte 29Chicago 180Cincinnati 23Cleveland 36Dallas 76Denver 28Detroit 107Houston 101Kansas City 27Los Angeles 299

Miami 100New Orleans 47New York 310Philadelphia 120Phoenix 79Pittsburgh 33Portland 34Sacramento 37Salt Lake City 28San Diego 96San Francisco 43Seattle 37

Annual Number Pedestian Deaths

Directions on making a box plotIncluding on findingRange:1st Q:3rd Q:IQR:

Create another Box Plot and Outlier1980 26.98 1990 7.35 1981 8.98 1991 11.99 1982 10.71 1992 21 1983 31.25 1993 27.36 1984 10.43 1994 8.14 1985 12.82 1995 24.35 1986 17.86 1996 12.46 1987 7.66 1997 12.4 1988 12.48 1998 31.01 1989 8.08 1999 9.09

Create a box plot of the data.Median: ____ 1st Q: ____3rd Q: ____ IQR: ____

Are any of the amounts of rainfall forthe 80’s or 90’s are outliers?

Against All OddsWhat 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- 5When 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.