what is the difference between the medians of the two dot plots? team 1 team 2 0 1 2 3 4 5 6 7 8 9 laps swam…
what is the difference between the medians of the two dot plots? team 1 team 2 0 1 2 3 4 5 6 7 8 9 laps swam at the pool 0 1 2 3 4 5 6 7 8 9 laps swam at the pool your answer
Answer
Explanation:
Step1: Find number of data - points for Team 1
Count the dots for Team 1. There are 2 + 3+ 5+ 3+ 6+ 3 = 22 data - points. Since (n = 22) (even), the median is the average of the (\frac{n}{2}=11)th and ((\frac{n}{2}+ 1)=12)th ordered data - points. Counting the dots from left to right, the 11th and 12th ordered data - points are both 5. So the median of Team 1 is 5.
Step2: Find number of data - points for Team 2
Count the dots for Team 2. There are 3+ 4+ 6+ 5+ 5+ 4+ 2 = 29 data - points. Since (n = 29) (odd), the median is the (\frac{n + 1}{2}=\frac{29+1}{2}=15)th ordered data - point. Counting the dots from left to right, the 15th ordered data - point is 4.
Step3: Calculate the difference between medians
Subtract the smaller median from the larger one. (|5 - 4|=1).
Answer:
1