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In the data set below, what is the variance?\newline4,4,7,2,4,94, 4, 7, 2, 4, 9\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?\newline4,4,7,2,4,94, 4, 7, 2, 4, 9\newlineIf the answer is a decimal, round it to the nearest tenth.\newlinevariance (σ2)(\sigma^2): _____
  1. Subtract and Square: Now, subtract the mean from each number and square it.\newline(4−5)2+(4−5)2+(7−5)2+(2−5)2+(4−5)2+(9−5)2(4 - 5)^2 + (4 - 5)^2 + (7 - 5)^2 + (2 - 5)^2 + (4 - 5)^2 + (9 - 5)^2\newline= (−1)2+(−1)2+(2)2+(−3)2+(−1)2+(4)2(-1)^2 + (-1)^2 + (2)^2 + (-3)^2 + (-1)^2 + (4)^2\newline= 1+1+4+9+1+161 + 1 + 4 + 9 + 1 + 16\newline= 3232
  2. Calculate Sum: Finally, divide by the number of data points to get the variance.\newlineσ2=326\sigma^2 = \frac{32}{6}\newlineσ2=5.333...\sigma^2 = 5.333...\newlineRound to the nearest tenth.\newlineσ2≈5.3\sigma^2 \approx 5.3

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