2016 AMC 12A Problems/Problem 4
Problem
The mean, median, and mode of the 7 data values are all equal to
.
What is the value of
?
Solution
must be in the middle of the list. Order the known list first:
.
occurs the most times, and it is the average of the list.
is either
or
because it is the median and the mode.
is the average of the set values.