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In the data set below, what is the variance?\newline7,3,1,1,9,5,27, 3, 1, 1, 9, 5, 2\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?\newline7,3,1,1,9,5,27, 3, 1, 1, 9, 5, 2\newlineIf the answer is a decimal, round it to the nearest tenth.\newlinevariance (σ2)(\sigma^2): _____
  1. Calculate Sum Squared Differences: Now, let's calculate the sum of the squared differences from the mean.\newline(7−4)2+(3−4)2+(1−4)2+(1−4)2+(9−4)2+(5−4)2+(2−4)2(7 - 4)^2 + (3 - 4)^2 + (1 - 4)^2 + (1 - 4)^2 + (9 - 4)^2 + (5 - 4)^2 + (2 - 4)^2\newline= 9+1+9+9+25+1+49 + 1 + 9 + 9 + 25 + 1 + 4\newline= 5858
  2. Divide by Number of Data Points: Finally, we divide by the number of data points to get the variance.\newlineVariance σ2\sigma^2 = 587\frac{58}{7}\newlineVariance σ2\sigma^2 ≈8.3\approx 8.3 when rounded to the nearest tenth.

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