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Statistics

Statistics. Lesson 9. Introduction. Today we will continue learning about mean, media, mode and range. Research one of three topics and work out the mean, median, mode and range of the data set you have collected. Learning Intentions.

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Statistics

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  1. Statistics Lesson 9

  2. Introduction • Today we will continue learning about mean, media, mode and range. • Research one of three topics and work out the mean, median, mode and range of the data set you have collected.

  3. Learning Intentions • To learn what is meant by the terms: mean, median, mode and range • To learn how to calculate mean, median, mode and range • To use sports (interest) to reinforce learning of mean, median, mode and range in statistics

  4. Mean • The mean is the average of a data set! • What is the Mean of this data set? 4, 3, 2, 4, 2, 2

  5. Median • The median is the middle value in a date set! • What is the Median of this data set? 41, 13, 30, 32, 27

  6. Mode • The mode is the most frequently occurring number in a date set! • What is the Mode of this data set? 28, 13, 23, 20, 24, 33, 20, 24

  7. Range • The range is the difference between the lowest and highest value in a data set! • What is the Range of this data set? 87, 118, 104, 58, 85, 110, 125, 90

  8. Model Investigation – Michael Jordan’s first 10 games in the NBA • 16, 21, 37, 25, 17, 25, 22, 27, 45, 27 – (VALUES) • Range: difference between the highest and lowest number (value) • Highest: 45 Lowest: 16 Range = 45-16 = 29 • Mode: most frequently occurring number (value) • Mode = 25 & 27 as they both occur more than any other numbers • Median: the middle number/s • Put into ascending order (lowest number to highest number): 16, 17, 21, 22, 25, 25, 27, 27, 37, 45 • The middle number is 25, therefore the median = 25 • Mean: the average • 16 + 21 + 37 + 25 + 17 + 25 + 22 + 27 + 45 + 27 = 262 • Divide the total by the number of values (in this case, 10) • 262 divided by 10 = 26.2 • Mean = 26.2 points averaged by Michael Jordan in his first 10 NBA games.

  9. Task – Interest Investigation • Option 1: • In groups of 3, research the number of goals scored by Manchester United in the Premier League this season! CHOOSE 12 GAMES ONLY! Organise your data in a way that is easiest for you to understand (i.e. tally or stem-and-leaf plot), graph the information using Excel, then work out the mean, median, mode and range of this set of data. • Option 2: • In groups of 3, research the scores by the Houston Rockets in the NBA Playoffs this season! Organise your data in a way that is easiest for you to understand (i.e. tally or stem-and-leaf plot), graph the information using Excel, then work out the mean, median, mode and range of this set of data. • Option 3: • In groups of 3, research the scores made by the Adelaide Thunderbirds this season! Organise your data in a way that is easiest for you to understand (i.e. tally or stem-and-leaf plot), graph the information using Excel, then work out the mean, median, mode and range of this set of data. • Alternate: Choose your favourite sport and negotiate a topic to research with the teacher.

  10. Exit Card • What is meant by the term Range? • What is meant by the term Mode? • What is meant by the term Median? • What is meant by the term Mean?

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