MATH SOLVE

4 months ago

Q:
# You are competing in a race. The table shows the times from last year's race. You want your time to be last year's median time with an absolute deviation of at most 6 minutes. Complete the inequality to represent the time (in minutes) you hope to achieve.Race times (minutes)26 35 27 3233 42 48 2836 40 38 32

Accepted Solution

A:

Answer: 28 ≤ x ≤40Step-by-step explanation:Arrange the data from the smallest to the largest 26, 27, 28,32, 32, 33, 35, 36, 38, 40,42,48Identify the median value26, 27, 28,32, 32, 33, 35, 36, 38, 40,42,48Getting the median (33+35)/2 = 68/2 = 34 minutesYou want your time to be last year's median time with an absolute deviation of at most 6 minutesThis mean ±6 minutes, hence this will be 34 ± 634+6=40 and 34-6=28The inequality will be 28 ≤ x ≤40