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In the data set below, what is the variance?\newline1,1,7,8,6,11, 1, 7, 8, 6, 1\newlineIf the answer is a decimal, round it to the nearest tenth.\newlinevariance (σ2)(\sigma^2): _____

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Q. In the data set below, what is the variance?\newline1,1,7,8,6,11, 1, 7, 8, 6, 1\newlineIf the answer is a decimal, round it to the nearest tenth.\newlinevariance (σ2)(\sigma^2): _____
  1. Subtract and Square: Now, subtract the mean from each number and square the results.\newline(1−4)2+(1−4)2+(7−4)2+(8−4)2+(6−4)2+(1−4)2(1 - 4)^2 + (1 - 4)^2 + (7 - 4)^2 + (8 - 4)^2 + (6 - 4)^2 + (1 - 4)^2\newline=(−3)2+(−3)2+(3)2+(4)2+(2)2+(−3)2= (-3)^2 + (-3)^2 + (3)^2 + (4)^2 + (2)^2 + (-3)^2\newline=9+9+9+16+4+9= 9 + 9 + 9 + 16 + 4 + 9
  2. Add Squares: Add up all those squares.\newline9+9+9+16+4+9=569 + 9 + 9 + 16 + 4 + 9 = 56

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