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 5 minutes. Complete the inequality to represent the time in minutes) you hope to achieve​

Answer 1

Answer:

$27\leq x \leq37$

Step-by-step explanation:

Let's arrange the numbers from least to greatest:

20, 25, 27, 28, 31, 32, 32, 38, 40, 40, 42, 48

The median is the "middle" number when arranged from least to greatest.

There are 12 numbers, so the middle number would be "average" of 6th and 7th terms.

6th term = 32

7th term = 32

Average = (32+32)/2 = 32

Hence, median = 32

Absolute deviation of 5 minutes means 5 minutes less or greater than the median, 32.

So, 32 - 5 = 27  &  32 + 5 = 37

Hence  $27\leq x \leq37$