1. Level 4+ 19-Jul-16Created by Mr. Lafferty Maths Dept. Statistics Mean, Median, Mode and Range of Data Set Mean, Median and Mode from a Frequency Tables www.mathsrevision.com Cumulative Frequency Tables and Median

2. Level 4+ 19-Jul-16Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions www.mathsrevision.com 8cm 5cm 2cm 4cm

3. Level 4+ 19-Jul-16Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Learning Intention Success Criteria 2.Calculate values for the Mean, Median, Mode and Range in a context. 1.We are learning the terms Mean Median, Mode and Range for a set of data. 1.Understand the differences between the terms Mean, Median, Mode and Range. Different Averages

4. Level 4+ 19-Jul-16Created by Mr. Lafferty Maths Dept. www.mathsrevision.com An average should indicate a “measure of central tendency” but should also indicate what the distribution of data looks like. This is why we have 3 different types of averages to consider Different Averages

5. Level 4+ 19-Jul-16Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Find the mean of the set of data 1, 1, 1, 1, 2, 3, 26 Can you see that this is not the most suitable of averages since five out of the six numbers are all below the mean of 5 Different Averages

6. Level 4+ 19-Jul-16Created by Mr Lafferty Maths Dept www.mathsrevision.com Range : The difference between highest and Lowest values. It is a measure of spread. Median :The middle value of a set of data. When they are two middle values the median is half way between them. Mode :The value that occurs the most in a set of data. Can be more than one value. Range, Mode & Median

7. Level 4+ 19-Jul-16Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Different Averages Example : Find the median and mode for the set of data. 10, 2, 14, 1, 14, 7

8. Level 4+ 19-Jul-16Created by Mr. Lafferty Maths Dept. Now try TJ4+ Ex 22.1 Ch22 (page 188) www.mathsrevision.com Mean Median Mode

9. Level 4+ 19-Jul-16Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions www.mathsrevision.com 6h 2a

10. Level 4+ 19-Jul-16Created by Mr. Lafferty Maths Dept. Now try TJ4+ Ex 22.2 Ch22 (page 188) www.mathsrevision.com Mean Median Mode

11. Level 4+ 19-Jul-16Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions www.mathsrevision.com

12. Level 4+ 19-Jul-16Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Learning Intention Success Criteria 1.Understand and be able to work out the range, mode and median from a frequency table. 1. We are learning how to work out the range, mode & median from a frequency table. Frequency Tables 2.Solve problems using a frequency Table. Range, Mode & Median

13. Level 4+ 19-Jul-16Created by Mr Lafferty Maths Dept Numbers of sports played Frequency 020 117 215 310 49 53 62 Here are the results of a sports survey carried out among university students. 38.5 lies in here Range Mode & Median from Frequency Table Range = 6 Mode = 0 Median harder to calculate 20 + 17 + 15 + 10 + 9 + 3 + 2 = 76 Middle value of 76 is between 38 th and 39 th values 20 + 17 = 37 20 + 17 + 15 = 52 Median = 2 Mode value that occurs the most = 0 High – Low = 6 – 0 = 6

14. Level 4+ Range Mode & Median from Frequency Table Here are the results of a S3 maths exam survey carried out among St. Ninian’s High School students. High – Low = 7 – 1 = 6 Mode value that occurs the most = 5 19-Jul-16Created by Mr Lafferty Maths Dept Grade scored in exam Frequency 125 229 320 420 531 610 75 70.5 lies in here Range = 6 Mode = 5 Median harder to calculate 25 + 29 + 20 + 20 + 31 + 10 + 5 = 140 Middle value of 140 is between the 70 th and 71 th values 25 + 29 = 54 25 + 29 + 20 = 74 Median = 3

15. Level 4+ 19-Jul-16Created by Mr. Lafferty Maths Dept. Now try TJ4+ Ex 22.2 Ch22 (page 191) www.mathsrevision.com Mean Median Mode From a Frequency Table

16. Level 4+ 19-Jul-16Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions www.mathsrevision.com

17. Level 4+ 19-Jul-16Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Learning Intention Success Criteria 1.Be able to add a third cumulative column to a frequency table. 1. We are learning how to calculate the median Frequency Table. Cumulative Frequency Tables 2.Be able to calculate the median from a Cumulative Frequency Table. Working Out The Median

18. Level 4+ 19-Jul-16Created by Mr. Lafferty Maths Dept. You have 1 minute to come up with a question you can easily answer from the table. www.mathsrevision.comDayFreq.(f) Example : This table shows the number of eggs laid by a clutch of chickens each day over a seven day period. 2 1 5 6 3 1 2 3 4 5 A third column is added to keep a running total. This makes it easier to get the total number of items. 2 6 17 12 5 C. Freq. Total so far Cumulative Frequency Tables Working Out The Median 7 68 4 25 29 When was the Median egg collected. Collected on Day 5

19. Level 4+ 19-Jul-16Created by Mr. Lafferty Maths Dept. Now try TJ4+ Ex 22.3 Ch22 (page 193) www.mathsrevision.com Mean Median Mode