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In the data set below, what is the variance?\newline2,7,5,4,3,6,12, 7, 5, 4, 3, 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?\newline2,7,5,4,3,6,12, 7, 5, 4, 3, 6, 1\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(2−4)2+(7−4)2+(5−4)2+(4−4)2+(3−4)2+(6−4)2+(1−4)2(2 - 4)^2 + (7 - 4)^2 + (5 - 4)^2 + (4 - 4)^2 + (3 - 4)^2 + (6 - 4)^2 + (1 - 4)^2\newline= (−2)2+(3)2+(1)2+(0)2+(−1)2+(2)2+(−3)2(-2)^2 + (3)^2 + (1)^2 + (0)^2 + (-1)^2 + (2)^2 + (-3)^2\newline= 4+9+1+0+1+4+94 + 9 + 1 + 0 + 1 + 4 + 9\newline= 2828
  2. Find Variance: Finally, we divide the sum of squared differences by the number of values to find the variance.\newlineσ2=287\sigma^2 = \frac{28}{7}\newlineσ2=4\sigma^2 = 4

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