Which value can be added to the set below without changing its mean?

{4, 10, 14, 18, 22, 22}

0

15

16

22

value that can be added to the set  without changing its mean is:

15

Step-by-step explanation:

we are given the data set:

{4, 10, 14, 18, 22, 22}

Mean of this set is= (4+10+14+18+22+22)/6

                             = 90/6

                             = 15

     new mean=90/7=12.86

           new mean = 105/7=15

           new mean=106/15=7.066

           new mean=112/15=7.466

  Hence, on adding 15 the mean of the data set do not change    

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!

she will travel a distance in the range of 3 - 11 miles