Introduction To Statistics

Our first run was 3.4 km from Wambana to the sacred stone on the foreshore towards the jetty and back. I did this run in 16 minutes, the average time for my Wardli was 18.4 minutes. The fastest people overall were James and Hayden from Wardlis 4 and 5 who ran in together at a time of around 13 minutes. Comparing Wardlis, the most diverse group was Wardli 5 who had an IQR of 15.5 minutes. That is, the middle 50% of times varied by 15.5 minutes. The Wardli with the lowest median score was Wardli 4, my Wardli, this being 16 minutes. We also had the lowest average time of time of 18.4 minutes. As a class we could be considered as 3 seperate groups, making the results trimodal. The three groups were the 10 fitter runners at the front, of which I was at the middlish-back of, then about 6 people who where slower and came in within 3 minutes of eachother. The third group was two guys who struggled a bit but pushed it through to the end. More than half of the participants finished in the first group.

STATISTICS FOR 3.4 km RUN THURSDAY, 25th MARCH 2010

Data: all times rounded

10

11

12

13

14 x x

15 x

16 x x x

17 x

18

19 x x x

20 x x

21 x

22 x
23 x x

24 x

25

26
27
28
29 x

30

The distribution is bimodal, centered around 16 and 19 minutes. We have an outlier of 29 minutes which affect the mean.

STATS

Min - 14

Max - 29

Range - 15

Mode - 16 and 19

Median - 19

Mean - 19 5/18
Q1 - 16

Q3 - 22
IQR - 6

Box Plot - I came in the top of the middle 50% on Q1 (16)