Q= {1.7, 1.1, 1.4, 2.1, 2.3, s}. what is the absolute difference between the greatest and least possible values of the median of set q? express your answer as a decimal to the nearest hundredth.

Absolute difference between the medians = 0.35

Step-by-step explanation:

After arranging Q in ascending order excluding s, we get

Q = {1.1, 1.4, 1.7, 2.1, 2.3}

Here, the median is 1.7 ( The middlemost value is the required median.)

Now, if s < 1.7,

Q= {1.1, s, 1.4, 1.7, 2.1, 2.3}

Now for the least value, median = 1.55

If s > 1.7,

Q = {1.1, 1.4, 1.7, 2.1, s, 2.3}

Now for the greatest value, median = 1.9

Absolute difference between the medians = |1.9 -1.55|

                                                                          = 0.35

step-by-step explanation:

points a and b are equidistant from the desired line, so the line you find by using them will go through point r.

using points other than a and b will give the desired line only if they are equidistant from r. if they are randomly located, the perpendicular line you create will not necessarily go through point r, hence will not be a solution to the problem.