1. Introduction 2. Considerations 2.1. Statistical Variables 2.2. Observations 2.3. Assumptions 2.4. Mathematical procedures 2.5. Use of technology Calculator for ..... Excel spreadsheet 3. Mathematical Concepts and Procedures 3.1. Data Sample Event 1 Number Athlete 1 Athlete 2 Athlete 3 1 2 3 4 5 6 7 8 9 10 11 12 134 ] ] 3.2. Statistical Analysis 3.3. Recommendation 4, Evaluation 4.1. Strengths and Limitations 4.2.1 Strengths 4,22 Limitations & 4.2. Verify and evaluate the reasonableness of your solution \f\f\fContext Data can be displayed in various ways and formats such as tables and graphs to enable the general public to view and digest statistical information easily. Businesses and sports trainers also use graphs to analyse observed trends to assess performance. Many star athletes choose one sport to excel at and they focus on training for that sport. Decathletes compete in ten (10) events which include various running, jumping and throwing events. Your task is to determine which athlete is the best "all-rounder', performing the best across a variety of events. You must conduct a statistical investigation by comparing the datasets provided to you both mathematically and graphically. You are required to use the problem-solving modelling approach (Formulate, Solve, Evaluate and Communicate - see the last page of this task sheet for further information). Your solution needs to be communicated using a report genre (Introduction, body and conclusion) which can be read independently of this task sheet. Date Event Result 100 Metres Pole Vault Javelin Throw Long Jump Shot Put 400 Metres High Jump 110 Metres Hurdles 13-Jan-18 Long Jump Indoor 7.18 14-Jan-18 Pole Vault Indoor 5.06 14-Jan-18 Heptathlon Indoor DNF 27-Jan-18 60 Metres Hurdles Indoor 7.82 27-Jan-18 High Jump Indoor 2 4-Feb-18 1000 Metres Indoor 02:43.9 4-Feb-18 Pole Vault Indoor 5.3 7-Feb-18 60 Metres Hurdles Indoor 7.79 7-Feb-18 Long Jump Indoor 7.48 7-Feb-18 Shot Put Indoor 15.96 10-Feb-18 Pole Vault Indoor 5.6 1 1 17-Feb-18 60 Metres Indoor 6.99 17-Feb-18 Long Jump Indoor 6.8 I I 18-Feb-18 Pole Vault Indoor NH 2-Mar-18 60 Metres Indoor 6.85 2-Mar-18 High Jump Indoor 2.02 2-Mar-18 Long Jump Indoor 7.55 2-Mar-18 Shot Put Indoor 15.67 1 3-Mar-18 1000 Metres Indoor 02:39.6 3-Mar-18 60 Metres Hurdles Indoor 7.83\f\f\f- - - - 0.003195718 - 50.54 - - -4-Mar-17 Shot Put Indoor 15.66 5-Mar-17 1000 Metres Indoor 02:41.1 5-Mar-17 60 Metres Hurdles Indoor 7.88 1 5-Mar-17 Pole Vault Indoor 5.4 5-Mar-17 Heptathlon Indoor 6479 15-Apr-17 200 Metres 21.76 I I I I 15-Apr-17 High Jump 2.03 I I I 2.03 15-Apr-17 Discus Throw 48.42 1 7-May-17 400 Metres Hurdles 54.57 1 7-May-17 Javelin Throw 63.37 63.37 13-May-17 100 Metres 10.99 10.99 III 1 13-May-17 Shot Put 15.69 I 15.69 14-May-17 Discus Throw 49.08 1 1 21-May-17 Pole Vault 5.3 1 5.3 1 21-May-17 Discus Throw 50.13 I 1-Jul-17 110 Metres Hurdles 13.78 1 13.78 1-Jul-17 Long Jump 7.13 I 7.13 I I 1-Jul-17 Javelin Throw 70.54 I 70.54 14-Jul-17 100 Metres 11.2 11.2 1 I I 14-Jul-17 High Jump NH I NH 14-Jul-17 Shot Put 14.9 I 1 14.9 15-Jul-17 Pole Vault 5.2 I 5.2 15-Jul-17 Discus Throw 47.98 I 15-Jul-17 Decathlon DNF 11-Aug-17 100 Metres 10.7 10.7\f11-Aug-17 400 Metres 48.26 48.26 11-Aug-17 High Jump 2.08 2.08 11-Aug-17 Long Jump 7.52 7.52 1 IIIII 11-Aug-17 Shot Put 15.72 15.72 12-Aug-17 1500 Metres 04:36.7 1 1 12-Aug-17 110 Metres Hurdles 13.75 13.75 I I 12-Aug-17 Pole Vault 5.1 5.1 12-Aug-17 Discus Throw 47.14 1 12-Aug-17 Javelin Throw 66.1 66.1 I I 12-Aug-17 Decathlon 8768 1 I I 9-Sep-17 Shot Put 15.04 1 15.04 I I 16-Sep-17 100 Metres DNS DNS 16-Sep-17 Long Jump DNS DNS 16-Sep-17 Shot Put DNS DNS 17-Sep-17 Decathlon DNS I I 1 27-Feb-16 Shot Put Indoor 15.97 I I 28-Feb-16 60 Metres Indoor 6.95 I 28-Feb-16 60 Metres Hurdles Indoor 8.98 1 16-Apr-16 100 Metres 10.89 10.89 16-Apr-16 110 Metres Hurdles 14.43 14.43 16-Apr-16 Discus Throw 45.24 29-Apr-16 100 Metres 11.16 11.16 1 1 1 29-Apr-16 High Jump DNS DNS 29-Apr-16 Long Jump 7.23 7.23 -- -.- 1 1 0.003202894 - - 47.14 - 45.24\f\f\f\f\f\f9-Feb-14 Long Jump Indoor 7.01 9-Feb-14 Shot Put Indoor 14.41 1 1 22-Feb-14 60 Metres Indoor 7.23 1 1 1 I 22-Feb-14 High Jump Indoor 1.85 1 I I 22-Feb-14 Long Jump Indoor 7.12 1 1 22-Feb-14 Shot Put Indoor 14.29 1 1 1 23-Feb-14 60 Metres Hurdles Indoor 8.17 1 1 1 23-Feb-14 Pole Vault Indoor 4.95 1 I 1 28-Feb-14 60 Metres Hurdles Indoor 8.15 1 I I 28-Feb-14 60 Metres Hurdles Indoor 8.27 1 1 28-Feb-14 Pole Vault Indoor 5.22 1 1 16-Mar-14 60 Metres Hurdles Indoor 8.24 I 1 I 16-Mar-14 60 Metres Hurdles Indoor 8.16 1 I 16-Mar-14 60 Metres Hurdles Indoor 8.08 1 1 16-Mar-14 Pole Vault Indoor 5 I 1 1 29-Mar-14 Pole Vault 4.57 4.57 I 1 29-Mar-14 Shot Put 14.36 I 1 14.36 27-Apr-14 Pole Vault 5.1 1 1 5.1 1 27-Apr-14 Discus Throw 45.16 1 I 1 1 2-May-14 100 Metres 11.46 11.46 I 1 2-May-14 400 Metres DNS I DNS 2-May-14 High Jump 1.95 1 1.95 2-May-14 Long Jump 6.95 1 1 I 6.95 I 2-May-14 Shot Put 14.21 I 1 14.21 3-May-14 Decathlon DNF I I Ar\f\f\f\f\fDiscus Throw 1500 Metres