Answer:
The mean goes up by 3/5 where 3 is the amount of the constant that was added divided by the total number of numbers.
Step-by-step explanation:
Let us suppose we have five number
[tex]15,\:17,\:8,\:26,\:9[/tex]
Let us calculate the Mean of these numbers
[tex]15,\:17,\:8,\:26,\:9[/tex]
The arithmetic mean is the sum of the values in the set divided by the number of elements in that set.
[tex]\mathrm{Take\:the\:sum\:of\:}15,\:17,\:8,\:26,\:9[/tex]
[tex]15+17+8+26+9=75[/tex]
[tex]\mathrm{The\:number\:of\:terms\:in\:the\:data\:set\:is}=5[/tex]
[tex]\mathrm{Divide\:the\:sum\:by\:the\:number\:of\:terms\:}=\frac{75}{5}[/tex]
Let us suppose we add constant 3 to the variable 8
[tex]15+17+\left(8+3\right)+26+9\:[/tex]
[tex]New\:mean\:=\:15+17+\left(8+3\right)+26+9\:=\frac{78}{5}[/tex]
so
New Mean - Old Mean:
[tex]\frac{78}{5}-\frac{75}{5}=\frac{3}{5}[/tex]
The mean goes up by 3/5 where 3 is the amount of the constant that was added divided by the total number of numbers.
