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In the data set below, what is the variance?\newline4,8,6,1,4,1,44, 8, 6, 1, 4, 1, 4\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?\newline4,8,6,1,4,1,44, 8, 6, 1, 4, 1, 4\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+(8−4)2+(6−4)2+(1−4)2+(4−4)2+(1−4)2+(4−4)2(4 - 4)^2 + (8 - 4)^2 + (6 - 4)^2 + (1 - 4)^2 + (4 - 4)^2 + (1 - 4)^2 + (4 - 4)^2\newline= 0+16+4+9+0+9+00 + 16 + 4 + 9 + 0 + 9 + 0\newline= 3838
  2. Find Variance: Finally, we divide the sum of squared differences by the number of values to find the variance.\newlineVariance σ2\sigma^2 = 387\frac{38}{7}\newlineVariance σ2\sigma^2 ≈5.4\approx 5.4 when rounded to the nearest tenth.

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