1. Head To Head: Data Handling Dr J Frost (jfrost@tiffin.kingston.sch.uk) Last Updated: 14 th December 2013

2. Head Table 2 3 45 6 7 89 10 11 1213 14 15 Rear Table Head to Head You are head to head with the person on your table. You must circle or underline your answer to finalise it. Once you finalise an answer, you can’t change it. The first person with the correct answer wins. If both people get it wrong, just do a quick paper-scissors-rock to settle. If neither person answers, the person who previously won wins. Winner moves up (as per left). Loser moves down.

3. Question 1 (Click above to reveal answer) What is the lower quartile of the following numbers? 1 2 3 4 5 6 7 8 9 Answer: 2.5 ?

4. Question 2 a)What percentage of data is above the upper quartile? b)What percentage of data is within the interquartile range? Answer: a) 25% b) 50% ?

5. Question 3 You have four numbers. The median is 5, the mode 4 and the mean 7. What are the four numbers? 4 4 6 14 ?

6. Question 4 You have four numbers. The median is 5, the mode 4 and the mean 7. What are the four numbers? 4 4 6 14 ?

7. Question 5 Find the mean age (to 4dp). 10.9375 ? AgeFrequency 104 119 123

8. Question 6 List two features you should compare when comparing box plots. 1.Median 2.Either range or interquartile range. ?

9. Question 7 Find the mean age (to 2dp). 19.67 (condone 19.66) ? AgeFrequency 10 < a ≤ 12 5 12 < a ≤ 20 10 20 < a ≤ 30 15

10. Question 8 Find the modal class. 20 < a ≤ 30 ? AgeFrequency 10 < a ≤ 12 5 12 < a ≤ 20 10 20 < a ≤ 30 15

11. Question 9 If I were to draw a pie chart to represent this data, what angle is needed for the sector labelled “Cat”? (Give answer to nearest degree) 213° ? AnimalFrequency Dog7 Cat13 Goose2

12. 20 18 16 14 12 10 8 6 4 2 0 10 20 30 40 Time (minutes) Cumulative Frequency Here is a cumulative frequency graph showing times. What is the interquartile range of the times? 35 – 15 = 20 ? Question 10

13. If you were to plot a cumulative frequency graph of the following data, list the coordinates of the three leftmost points the graph. Question 11 AgeFrequency 10 < a ≤ 12 5 12 < a ≤ 20 10 20 < a ≤ 30 15 (10, 0), (12, 5), (20, 15) ?

14. If you were to plot a frequency polygon of the following data, list the coordinates of the three points. Question 12 Weight (in kg)Frequency 10 < w ≤ 18 6 18 < w ≤ 26 11 26 < w ≤ 34 1 (14, 6), (22, 11), (30, 1) ?

15. Question 13 What is the median class interval? 20 < a ≤ 30 ? AgeFrequency 10 < a ≤ 12 6 12 < a ≤ 20 12 20 < a ≤ 30 8 30 < a ≤ 50 14