Question

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 32
33 42 48 28
36 40 38 32

Answer 1

Answer:

  28 ≤  x ≤40

Step-by-step explanation:

Arrange the data from the smallest to the largest

26, 27, 28,32, 32, 33, 35, 36, 38, 40,42,48

Identify the median value

26, 27, 28,32, 32, 33, 35, 36, 38, 40,42,48

Getting the median

(33+35)/2   =  68/2  = 34 minutes

You want your time to be last year's median time with an absolute deviation of at most 6 minutes

This mean ±6 minutes, hence this will be 34 ± 6

34+6=40  and 34-6=28

The inequality will be    28 ≤  x ≤40

Answer 2

Answer:28 ≤  x ≤40

Step-by-step explanation:

Arrange the data from the smallest to the largest

26, 27, 28,32, 32, 33, 35, 36, 38, 40,42,48

Identify the median value

26, 27, 28,32, 32, 33, 35, 36, 38, 40,42,48

Getting the median

(33+35)/2   =  68/2  = 34 minutes

You want your time to be last year's median time with an absolute deviation of at most 6 minutes

This mean ±6 minutes, hence this will be 34 ± 6

34+6=40  and 34-6=28

The inequality will be    28 ≤  x ≤40