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In the data set below, what is the variance?\newline4,1,6,9,2,3,34, 1, 6, 9, 2, 3, 3\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?\newline4,1,6,9,2,3,34, 1, 6, 9, 2, 3, 3\newlineIf the answer is a decimal, round it to the nearest tenth.\newlinevariance (σ2)(\sigma^2): _____
  1. Calculate squared differences: Now, let's calculate the squared differences from the mean.\newline(4−4)2+(1−4)2+(6−4)2+(9−4)2+(2−4)2+(3−4)2+(3−4)2(4 - 4)^2 + (1 - 4)^2 + (6 - 4)^2 + (9 - 4)^2 + (2 - 4)^2 + (3 - 4)^2 + (3 - 4)^2\newline=0+9+4+25+4+1+1= 0 + 9 + 4 + 25 + 4 + 1 + 1\newline=44= 44
  2. Divide sum for variance: Finally, we divide the sum of squared differences by the number of values to get the variance.\newlineVariance σ2\sigma^2 = 447\frac{44}{7}\newlineVariance σ2\sigma^2 ≈6.3\approx 6.3 (rounded to the nearest tenth)

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