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two biking clubs, trail blazers and speed racers, keep track of miles b…

Question

two biking 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 blazersstemteam racers
4, 5, 721, 2, 8
0, 1, 212, 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: 10,11,12; Stem2:24,25,27; Stem3:38,39 → Ordered:10,11,12,24,25,27,38,39 (8 values)

Step2: Find Trail Blazers' median

Median = average of 4th &5th values: $\frac{24+25}{2}=24.5$

Step3: List Speed Racers' data

Stem1:12,13,15; Stem2:21,22,28; Stem3:30,32 → Ordered:12,13,15,21,22,28,30,32 (8 values)

Step4: Find Speed Racers' median

Median = average of 4th &5th values: $\frac{21+22}{2}=21.5$

Step5: Compare medians

24.5 > 21.5 → Trail Blazers higher

Answer:

Trail Blazers