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

In the data set $\{1,4,10,13,a\}$ find $a$ so that the mode is 10.

Given the data set $\{3, 7, a\}$ with mean 6, find the value of $a$.

In the list $\{4,8,12,a,16\}$ the median equals 10. Find $a$.

For the data set $\{3,5,7,a,11,13\}$ the median is 8. Find $a$.

In the set $\{6,8,10,12,a,16\}$ the mean is 11. Find $a$.

For the data set $\{2,5,a,9,12\}$ the mean is twice the median. Determine $a$.

Given $\{a,3,5,7,9,11,13\}$ has mean 7, determine $a$.

Let the data be $\{a,3a,5,7,9\}$. If the mean equals the median, find $a$.

Let the six consecutive terms be $\{x, x+2, x+4, x+6, x+8, x+10\}$. If the median is 8, find $x$.

Find $a$ if the eight‐term set $\{2,5,8,a,11,14,17,20\}$ has mean 10.

In the eight‐term set $\{2,4,6,a,10,12,14,16\}$ the median is 9 and the mean is 10. Find $a$.

In $\{12,15,a,21,24,27,30\}$ the mean equals the median. Find $a$.