Question Type 2: Data given as parameters and finding the value of the data given some relationship/values of the central tendancy Bootcamps

In the set $\{2,4,6,10,13,a\}$, the mean is $7$. Find $a$.

Given the data set $\{2,5,a,9\}$, the mean is $6$. Find $a$.

Given the set $\{2,5,7,a,13\}$, the range is $11$. Find $a$.

The seven numbers $\{3,5,7,a,11,13,15\}$ have mean $9$. Find $a$.

Given the data set $\{3,7,9,a,15\}$, the median is $9$ and the mean is $10$. Find $a$.

Given the data set $\{1,3,5,a,9,11\}$, the median is $7$. Find $a$.

The data set $\{2,4,6,a,10,12,14,16\}$ has mean $9$. Find $a$.

For the data set $\{3,5,a,12,15,18\}$, the median is $10$. Find $a$.

For the set $\{4,8,12,16,a\}$, the mean equals the median. Find $a$.

For the data set $\{5,8,12,a,20,25\}$, the median is $14$. Find $a$.

In the ordered data set $\{4,7,a,13,16\}$, the mean is twice the median. Find $a$.

In the arithmetic sequence of five terms $\{a,\,a+d,\,a+2d,\,a+3d,\,a+4d\}$, the median is $10$ and the mean is $12$. Find $a$ and $d$.