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In the data set below, what is the variance?\newline8,4,9,4,8,5,48, 4, 9, 4, 8, 5, 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?\newline8,4,9,4,8,5,48, 4, 9, 4, 8, 5, 4\newlineIf the answer is a decimal, round it to the nearest tenth.\newlinevariance (σ2)(\sigma^2): _____
  1. Calculate Differences Squared: Now, let's do the variance part.\newlineWe need to square the difference of each number from the mean, then add 'em up.\newline(8−6)2+(4−6)2+(9−6)2+(4−6)2+(8−6)2+(5−6)2+(4−6)2(8 - 6)^2 + (4 - 6)^2 + (9 - 6)^2 + (4 - 6)^2 + (8 - 6)^2 + (5 - 6)^2 + (4 - 6)^2\newline=4+4+9+4+4+1+4= 4 + 4 + 9 + 4 + 4 + 1 + 4\newline=30= 30
  2. Sum Squared Differences: Finally, divide that sum by the number of values to get the variance.\newlineVariance = 307\frac{30}{7}\newlineVariance ≈4.3\approx 4.3 (rounded to the nearest tenth)

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