Question

nomini, marwa
8 patterns of association test*
two hiking clubs, trail blazers and speed racers, keep track of miles biked by members during a weekend ride, as shown in a stem - and - leaf plot.

team blazers	stem	team racers
4, 5, 7	2	1, 2, 8
0, 1, 2	1	2, 3, 5

which club has a higher median distance?
○ both trail blazers and speed racers
○ neither trail blazers nor speed racers
● speed racers
○ trail blazers

Explanation:

Step1: List Trail Blazers' data

Stem 1: 0,1,2 → 10,11,12; Stem 2:4,5,7 →24,25,27; Stem3:0,8→30,38. Data: [10,11,12,24,25,27,30,38] (8 values).

Step2: Find Trail Blazers' median

Even count: average of 4th and 5th values. 4th=24,5th=25 → $\frac{24+25}{2}=24.5$.

Step3: List Speed Racers' data

Stem1:2,3,5→12,13,15; Stem2:1,2,8→21,22,28; Stem3:0,2→30,32. Data: [12,13,15,21,22,28,30,32] (8 values).

Step4: Find Speed Racers' median

Average of 4th and 5th values. 4th=21,5th=22 → $\frac{21+22}{2}=21.5$.

Step5: Compare medians

24.5 (Trail Blazers) > 21.5 (Speed Racers).

Answer:

Trail Blazers