Maths Lit Worksheet - Measures Of Central Tendency And Spread (answers)

SAEP Matric Success – Zisukhanyo Maths Lit Worksheet Tuesday 31st March 2009 Measures of central tendency and spread - ANSWERS 1. Exam Success, Activity 7.8, Q2 a) 1,6 m b) 1,63 m 2. Exam Success, Activity 7.8, Q4 1,2 3. Exam Success, Activity 7.9, Q1 a and b a) 5 b) 9 4. Exam Success, Activity 7.9, Q3 1,88 – 1,87 = 0,01 m 5. Exam Success, Activity 7.10, Q1 a and b a) 4 b) 7 6. Exam Success, Activity 7.10, Q2 a) 0 b) 1

c) 1,06

7. Exam Success, Activity 7.11, Q1 a) mean = 10; range = 16 b) mean = 10; range = 8

c) Jill was more consistent

8. Exam Success, Activity 7.13, Q1 a and b a) median = 20,5; lower quartile = 15,5; upper quartile = 25; inter-quartile range = 9,5 b) median = 11; lower quartile = 9; upper quartile = 11; inter-quartile range = 2 9. Exam Success, Activity 7.15, Q2 Lower quartile: 0,25(46) + 0,5 = 12; Q1 = 10 000 km Upper quartile: 0,75(46) + 0,5 = 35; Q3 = 11 000 km 5th percentile: 0,05(46) + 0,5 = 2,8; P5 = 9 000 km 50th percentile: 0,5(46) + 0,5 = 23,5; P50 = 10 000 km 10. Exam Success, Module Check 7, Q7 a) 5 < d ≤ 10 b) Using the midpoint of each interval = 2,600 km e) 9 km f) Q1 = 7,5; Q3 = 12,5; Inter-quartile range = 5 km g) 135 students stay less than 10 km from school h) 155 students stay more than 10 km from school, 46% 11. Exam Success, Module Check 7, Q8 a) Experienced mice: Q1 = 125 s; Q2 = 128,5 s; Q3 = 131 s Inexperienced mice: Q1 = 139 s; Q2 = 145 s; Q3 = 149 s c) Experience mice are generally faster with less variable terms.