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In the data set below, what is the variance?\newline9,7,8,7,6,6,69, 7, 8, 7, 6, 6, 6\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?\newline9,7,8,7,6,6,69, 7, 8, 7, 6, 6, 6\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 result.\newline(9−7)2+(7−7)2+(8−7)2+(7−7)2+(6−7)2+(6−7)2+(6−7)2(9 - 7)^2 + (7 - 7)^2 + (8 - 7)^2 + (7 - 7)^2 + (6 - 7)^2 + (6 - 7)^2 + (6 - 7)^2\newline=22+02+12+02+(−1)2+(−1)2+(−1)2= 2^2 + 0^2 + 1^2 + 0^2 + (-1)^2 + (-1)^2 + (-1)^2\newline=4+0+1+0+1+1+1= 4 + 0 + 1 + 0 + 1 + 1 + 1\newline=8= 8
  2. Calculate Sum: Finally, divide by the number of data points to get the variance.\newlineVariance = 87\frac{8}{7}\newlineVariance ≈1.1\approx 1.1 when rounded to the nearest tenth.

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