Data:
all even integers between -5 and 7 = \(\{-4,-2,0,2,4,6\}\)
Number of even integers: 6 numbers
The simple arithmetic mean (A.M) is obtained by dividing the sum of the observations by their number.
\(A.M = \frac{(-4)+(-2)+0+2+4+6}{6} = \frac{6}{6} \to\:\boxed{A.M= 1}\end{array}}\qquad\quad\checkmark\)
Answer:
\(\boxed{\boxed{Arithmetic\:Mean=1}}\)