Question 174453
what number should be added to the following set of data so that the mean,median,and mode will become the same number ? 
91,93,93,95,95,98,100
<pre><font size = 4 color = "indigo"><b>
Since there are two 93's and two 95's, it order to have 
a mode (the number that occurs the most number of times),
the number to add must either be a 93 or a 95.  The 95
is right in the middle, and the 93 is more toward the 
bottoms, so 95 seems the most promising, so I'll add it
in the middle and check to see if it works:

91,93,93,95,<font color = "red">95</font>,95,98,100

91+93+93+95+<font color = "red">95</font>+95+98+100=760

760÷8 = 95, the mean.

The middle two numbers are both 95, so 95 is the median.

There are three 95's so there are more of them than
any other number, so 95 is the mode, too.

Edwin</pre>