Lesson 10-3 Data Distributions

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Presentation transcript:

Lesson 10-3 Data Distributions Obj: The student will be able to 1) Describe the central tendency of a data set 2) Create and interpret box-and-whisker plots HWK: COS: S-ID2

Vocab: measure of central tendency mean median mode range outlier first quartile (lower quartile) third quartile (upper quartile) interquartile range (IQR) box-and-whisker plot

Ex 1) Identify the outlier (if any) in the data set Ex 1) Identify the outlier (if any) in the data set. Then determine how the outlier affects the mean, median, mode and range of the data. 21, 24, 3, 27, 30, 24

Which measure best describes Josh’s typical score? Explain Ex 2) Josh scored 74, 73, 80, 75, 67 and 54 on his six history tests. For each question, choose the mean, median or mode and give its value. Which measure best describes Josh’s typical score? Explain Which measure should Josh use to describe his test scores to his parents? Explain

Box-and-whisker plots steps: Order data from least to greatest Find median of entire data set Find median of lower data set (1st quartile or lower quartile) Find median of upper data set (3rd quartile or upper quartile) Find minimum and maximum values Plot on number line

Ex 3) Use the data to make a box-and-whisker plot

Ex 4) The box-and-whisker plots show the ticket sales, in millions of dollars, of the top 25 movies in 2000 and 2007 in the US Which data set has a greater median? Explain Which data set has a greater interquartile range? Explain Which data set has a smaller range? Explain About how much more were the ticket sales for the top movie in 2007 than for the top movie in 2000?