1. Year 8 Answers to Data Handing Challenge
Dr J Frost
Last modified: 9th December 2013

2. Problem 1
1.34m m m m m m m m
Lower Quartile: 1.38m
Median: m
Upper Quartile: 1.69m ? ? ?

3. Problem 2 ?
1.3m m m m m m m

4. Problem 3 ? 𝑀𝑒𝑎𝑛= 13×2 + 14×7 + 15×4 + 16×3 16 =14.5 Age Frequency 13
𝑀𝑒𝑎𝑛= 13×2 + 14×7 + 15×4 + 16×3 16 =14.5 ?

5. Problem 4 Mean = 7.5×2 + 15×12 + 30×6 20 =18.75 ? Time (t) in minutes
Frequency
5<𝑡≤10 2
10<𝑡≤20 12
20<𝑡≤40 6
Mean = 7.5×2 + 15× ×6 20 =18.75 ?

6. Problem 5 ? Frequency Weight (kg) 8 7 6 5 4 3 2 1 0 10 20 30 40
Weight (kg)
Weight 𝑤 (in kg)
Frequency
10<𝑤≤20 4
20<𝑤≤30 7
30<𝑤≤40 2

7. Problem 6 ? ? ? Time (t) in minutes Cumulative Frequency 5<𝑡≤10 2 2
5<𝑡≤20
 14
5<𝑡≤40
 20 ? ? ?

8. Problem 7 ? Cumulative Frequency Time (minutes) 20 18 16 14 12 10 8 6
Time (minutes)
Time (t) in minutes
Cumulative Frequency
5<𝑡≤10  2
5<𝑡≤20
 14
5<𝑡≤40
 20

9. Problem 8 ? ? ? Cumulative Frequency Time (minutes)20 18 16 14 12 10 8 6 4 2
Cumulative Frequency
Time (minutes)
Lower Quartile = 23 mins Median = 17 mins Upper Quartile = 12.5 mins ? ? ?

10. Problem 9 ? ? ? Time (t) in minutes Frequency Angle 5<𝑡≤10 2 36°
10<𝑡≤20 12
216°
20<𝑡≤40 6
108° ? ? ?