For the following set of data, find the population standard deviation, to the nearest hundredth. 139,126,51,61,77,109,112

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List data set & mean: List the data set and find the mean (average) of the data. The data set is: 139, 126, 51, 61, 77, 109, 112. To find the mean, add all the numbers together and divide by the number of data points. Mean = (139 + 126 + 51 + 61 + 77 + 109 + 112) / 7 Mean = 675 / 7 Mean ≈ 96.43Subtract & square differences: Subtract the mean from each data point and square the result to find the squared differences. Squared differences: (139 - 96.43)² = 42.57² ≈ 1812.20 (126 - 96.43)² = 29.57² ≈ 874.48 (51 - 96.43)² = -45.43² ≈ 2063.88 (61 - 96.43)² = -35.43² ≈ 1255.28 (77 - 96.43)² = -19.43² ≈ 377.50 (109 - 96.43)² = 12.57² ≈ 158.04 (112 - 96.43)² = 15.57² ≈ 242.52Add squared differences: Add all the squared differences together to find the sum of the squared differences. Sum of squared differences = 1812.20 + 874.48 + 2063.88 + 1255.28 + 377.50 + 158.04 + 242.52 Sum of squared differences ≈ 6783.90Find variance: Divide the sum of the squared differences by the number of data points to find the variance. Since this is a population standard deviation, we divide by the number of data points (N = 7). Variance = 6783.90 / 7 Variance ≈ 968.41Calculate standard deviation: Take the square root of the variance to find the population standard deviation. Population standard deviation = √968.41 Population standard deviation ≈ 31.11

For the following set of data, find the population standard deviation, to the nearest hundredth. $\newline$ $139,126,51,61,77,109,112$

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For the following set of data, find the population standard deviation, to the nearest hundredth.\newline139,126,51,61,77,109,112139,126,51,61,77,109,112139,126,51,61,77,109,112

For the following set of data, find the population standard deviation, to the nearest hundredth. $\newline$ $139,126,51,61,77,109,112$