Introduction to Statistics

The 3.4km run

We run along the bike track, along the foreshore at PT, from Wambana to the sacred rock and back.

Data- In Minutes

WARDLI 2: 16, 20, 17, 14, 14, 15 -----> 14, 14, 15, 16, 17, 20
WARDLI 3: 16, 18, 23, 19, 14       ------> 14, 16, 18, 19, 23
WARDLI 4: 15, 19, 18, 16, 15, 17 -----> 15, 15, 16, 17, 18, 19

14                        x x x

15                        x x x

16                        x x x

17                        x x

18                        x x

19                        x x

20                        x x

21

22

23                         x

STATISTICS                      LOW    HIGH    RANGE    MODE       MEDIAN       MEAN         Q1    Q3     IQR    
WARDLI 2     14          20            6             14             15 ½              16             14     17       3
WARDLI 3     14          23            9            ALL            18                  18             15     21       6
WARDLI 4     15          19            4             15             16 ½        16 14/17       15     18       3
ALL                 14         23            9       14, 15, 16      16            16 14/17       15     18 ½   3 ½

COMMENT

I ran the 3.4km run in 18mins. This is 4 minutes above the lowest time and 5 minutes below the highest time. My time is 2 minutes from the median and 1 3/17 minutes from the mean. It is 3 minutes from Q1 but ½ a minute below Q3.

The 5.5km run

Start at Wambana; follow the bike track past the sacred rock to end of the PT Turton Jetty and return.

Data- in minutes

WARDLI 2: 23, 27, 22, 28, 22, 26 -----> 22, 22, 23, 26, 27, 28
WARDLI 3: 34, 27, 22, 25, 29        -----> 22, 25, 27, 29, 34
WARDLI 4: 28, 29, 23, 26, 24, 24 -----> 23, 24, 25, 26, 28, 29

22                        x x x

23                        x x

24                        x

25                        x x

26                        x x

27                        x x

28                        x x

29                        xx

30

31                        

32

33

34                        x

STATISTICS                      LOW    HIGH    RANGE    MODE       MEDIAN       MEAN         Q1    Q3     IQR    
WARDLI 2     22         28            6              22             24 ½             24 ½          22     27       5
WARDLI 3     22          34            12          ALL            27                 27 2/5       23 ½ 31 ½   8
WARDLI 4     23          29            6            ALL             25 ½           25 5/6         24     28      4
ALL                 22         34            12           22              26            25 15/17        23     28      5

COMMENT

I ran the 5.5km run in 27mins. This is 5 minutes above the lowest time and 7 minutes below the highest time. My time is 1 minute from the median and 2 15/17 minutes from the mean. It is 4 minutes from Q1 but 1 a minute below Q3.