Question

Given a set `{-3,x,3,4,6,5,-3,2}`, for what x would the mean of the set be -1?

Answer 1

`x=(-22)`

Explanation:

Given the set
`color(white)("XXX"){-3,x,3,4,6,5,-3,2}`

There are `8` values in this set
and
the set has a total value of `14+x`

If the mean is `(-1)` then the total value of the set must be `8xx(-1)=-8`

Therefore
`color(white)("XXX")14+x=-8`

`rArrcolor(white)("XX")x=-22`