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Name: Central Tendency Print Activity Use the “Explore It” mode to answer the following questions: 1. Use the diagram below to answer the following questions: a. The graph represents the heights of a collection of ____ artifacts. (7/8/9) b. The Range in the heights of the artifacts is 9 – 1 = m. c. The Range is defined as the __________ height – __________ height. (largest/smallest) (largest/smallest) d. The ___________ represents the average height of the artifacts. (mean/median/mode) e. The Mean is defined as ____sum_____ = ______ = . f. In the diagram above, the heights have been arranged in _______________ order. (ascending/descending) g. The Median is the value that represents the ________________ height (beginning/middle/end) when the heights are arranged in order. Junior High Math Interactives 2006 Alberta Education (www.LearnAlberta.ca) Statistics and Probability/ Central Tendency / Object Interactive / Print Activity Page 1 of 7 h. The Median height for this data is . i. The Modes are the values that occur ____________ often in a set of data. (least/most) j. The value of the heights that occurs most often are and . 2. Use the data in the diagram below to answer the following questions: a. The graph represents the ____________ of ________ artifacts. (length/width/height) – b. The range of lengths is (2/5/10) = sum c. The mean length = _________ = ______ = # of items m. . d. The lengths arranged in ascending order are ____, ____, ____, ____, ____. e. The median length is . f. This data has ______________________. (2 modes/no modes) Junior High Math Interactives 2006 Alberta Education (www.LearnAlberta.ca) Statistics and Probability/ Central Tendency / Object Interactive / Print Activity Page 2 of 7 3. Use the data table below to answer the following questions: a. The data represents the ___________________ of the artifacts. (length/width/height) b. The range for the widths is – c. The mean width is _____ = . = m. d. When the data is arranged in ascending order, the middle 2 widths are and . e. When there is an ________ number of data values, the median is found by (even/odd) arranging the data in order and averaging the 2 data values in the middle. f. The median width for this example is ____ ____ 2 . Junior High Math Interactives 2006 Alberta Education (www.LearnAlberta.ca) Statistics and Probability/ Central Tendency / Object Interactive / Print Activity Page 3 of 7 4. Use the data table below to answer the following questions: a. There are data values in the data table. – b. The range in height is c. The mean height is ____ = . . d. When the heights are arranged in order, the middle 2 heights are e. The median height is ____ ____ 2 and . g. The most frequent heights of the artifacts are values represent the ___________________. and and these (mean/median/mode) Junior High Math Interactives 2006 Alberta Education (www.LearnAlberta.ca) Statistics and Probability/ Central Tendency / Object Interactive / Print Activity Page 4 of 7 5. The data table below represents a list of Amy’s math quiz marks. a. Input Amy’s marks into the data table on your screen. Data Table: b. Using the information on your screen, draw and include ALL labels on the bar graph below. Graph: c. The graph displays the math quiz marks for d. The quizzes are graded as a mark out of different math topics. . e. Amy achieved the highest quiz mark on the topic of f. The lowest mark Amy achieved on any quiz was . out of 10. Junior High Math Interactives 2006 Alberta Education (www.LearnAlberta.ca) Statistics and Probability/ Central Tendency / Object Interactive / Print Activity Page 5 of 7 g. The range of Amy’s marks was h. The average mark was _____ = – = . . i. The middle values when the marks are arranged in order are j. The median mark is ____ ____ 2 and . . k. The most frequent marks Amy received were _______________. l. Did Amy achieve a passing average on these math quizzes? _____ (yes/no) 6. A favorite music survey was conducted with students. Use the data table and graph below to answer the following questions: Data Table: Graph: a. The horizontal axis displays different types of music on the graph. b. The vertical axis defines the _______________ or number of students that chose each music type. c. The number of students who chose country as their favorite was . d. The number of students who chose either pop rock or heavy metal was . Junior High Math Interactives 2006 Alberta Education (www.LearnAlberta.ca) Statistics and Probability/ Central Tendency / Object Interactive / Print Activity Page 6 of 7 e. The music type with the lowest frequency was ________________. f. The total number of students participating in the music survey was . g. Of the 3 measures of central tendency, the __________________ have (mean/median/mode) meaning in this data set. h. Explain why. ________________________________________________________________________ ________________________________________________________________________ ________________________________________________________________________ ________________________________________________________________________ 7. Match the following terms with their correct definition: a. Mean ____ the data value that occurs most often. b. Median ____ the difference between the largest and smallest data values. c. Mode ____ the sum of the data divided by the number of data values. d. Range ____ the value that represents the middle when data is arranged in order. Junior High Math Interactives 2006 Alberta Education (www.LearnAlberta.ca) Statistics and Probability/ Central Tendency / Object Interactive / Print Activity Page 7 of 7