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 4

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

30≤t≤38

Explanation:

Arrange the given data in ascending order and determine the median

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

Median is (33+35)/2 =68/2 = 34

Absolute deviation is at most 4, this means: median ± 4

Median high value = 34+4 = 38

Median low value= 34-4=30

Inequality to represent time, t will be

30≤t≤38