Given the terms: {2,9,3,2,7,7,12}{2,9,3,2,7,7,12}
Sum of terms: 2+9+3+2+7+7+12=422+9+3+2+7+7+12=42
Number of terms: 77
Mean: 42/7=6427=6
Deviations from Mean: {abs(2-6), abs(9-6),abs(3-6),abs(2-6),abs(7-6),abs(7-6),abs(12-6)}{|2−6|,|9−6|,|3−6|,|2−6|,|7−6|,|7−6|,|12−6|}
Squares of Deviations from Mean: {(2-6)^2, (9-6)^2,(3-6)^2,(2-6^2),(7-6)^2,(7-6)^2,(12-6)^2}{(2−6)2,(9−6)2,(3−6)2,(2−62),(7−6)2,(7−6)2,(12−6)2}
Sum of Squares of Deviations form Mean: (2-6)^2,+(9-6)^2+(3-6)^2+(2-6^2)+(7-6)^2+(7-6)^2+(12-6)^2=88(2−6)2,+(9−6)2+(3−6)2+(2−62)+(7−6)2+(7−6)2+(12−6)2=88
Population Variance = ("Sum of Squares of Deviations from Mean")/("Count of Terms") = 88/7 ~~12.57=Sum of Squares of Deviations from MeanCount of Terms=887≈12.57
