Question 341672
In a set of eleven different numbers, which of the following CANNOT affect the value of the median?
<pre><b>
Let's say we had these 11 numbers in order smallest to largest:

2, 5, 7, 8, 12, <font color = "red">14</font>, 18, 20, 24, 35, 57

then the median is the middle number, 14, which I have
colored red.
</pre></b>
A. Doubling each number
<pre><b>
Let's double each number and see:

4, 10, 14, 16, 24, <font color = "red">28</font>, 36, 40, 48, 70, 114

No, the median is affected, it changed from 14 to 28. So A is not
a correct choice.
</pre></b>
B. Increasing each number by 10
<pre><b>
Let's increase each number by 10

12, 15, 17, 18, 22, <font color = "red">24</font>, 28, 30, 34, 45, 67

No, the median is affected, it changed from 14 to 24. So B is not
a correct choice.
</pre></b>
C. Increasing the smallest number only
<pre><b>
Let's increase the smallest number, 2, to 4

4, 5, 7, 8, 12, <font color = "red">14</font>, 18, 20, 24, 35, 57

Yes, the median is not affected, for it is still 14.  So C IS a
correct choice.
</pre></b>
D. Decreasing the largest number only
<pre><b>
Let's decrease the largest number, 57, to 44

2, 5, 7, 8, 12, <font color = "red">14</font>, 18, 20, 24, 35, 44

Yes, the median is not affected, for it is still 14.  So D IS a
correct choice.
</pre></b>
E. Increasing the largest number only
<pre><b>
Let's increase the largest number, 57, to 68

2, 5, 7, 8, 12, <font color = "red">14</font>, 18, 20, 24, 35, 68

Yes, the median is not affected, for it is still 14.  So E IS a
correct choice.

Edwin</pre>