Given that the mean of the values
two, 13, four, 25, six, and 𝑎 is 11, find the value of 𝑎.
We recall that in order to find the
mean of a set of values, we divide the sum of the values by the number of
values. We can find the sum of the values
by adding two, 13, four, 25, six, and 𝑎. This simplifies to 50 plus 𝑎. We know that there are six values
in total. We are also told that the mean is
equal to 11.
By rearranging the statement to
calculate the mean, we can see that the sum of the values is equal to the number of
values multiplied by the mean. 𝑎 plus 50 is equal to six
multiplied by 11. This is equal to 66. We can then subtract 50 from both
sides of this equation to calculate 𝑎. 66 minus 50 is equal to 16, so the
value of 𝑎 is 16.