Here are the annual numbers of deaths from tornadoes in the United States from 1990 through 2000 . (Source: NOAA) 5339336939671309440 A) What is the mean of this data? Round to the hundredths place (2 decimal places). type your answer_ B) What is the standard deviation of this data? Round to the hundredths place (2 decimal places). type your answer_

To find the mean and standard deviation of the given data, we first need to calculate the mean and then the standard deviation. Given data: 533, 933, 693, 967, 130, 944, 0 A) To find the mean: 1. Calculate the sum of all the numbers: Sum = 533 + 933 + 693 + 967 + 130 + 944 + 0 = 4140 2. Calculate the mean by dividing the sum by the total number of data points: Mean = Sum / Total number of data points = 4140 / 7 B) To find the standard deviation: 1. Calculate the variance: Variance = Σ (x - mean)^2 / (n - 1) 2. Calculate the standard deviation: Standard Deviation = √Variance Let's calculate the mean and standard deviation step by step. Calculate the value by following steps: - step0: Calculate: \(\frac{4140}{7}\) The mean of the given data is approximately 591.43. Now, let's calculate the standard deviation. Calculate the value by following steps: - step0: Calculate: \(\left(533-591.43\right)^{2}+\left(933-591.43\right)^{2}+\left(693-591.43\right)^{2}+\left(967-591.43\right)^{2}+\left(130-591.43\right)^{2}+\left(944-591.43\right)^{2}+\left(0-591.43\right)^{2}\) - step1: Subtract the numbers: \(\left(-58.43\right)^{2}+\left(933-591.43\right)^{2}+\left(693-591.43\right)^{2}+\left(967-591.43\right)^{2}+\left(130-591.43\right)^{2}+\left(944-591.43\right)^{2}+\left(0-591.43\right)^{2}\) - step2: Subtract the numbers: \(\left(-58.43\right)^{2}+341.57^{2}+\left(693-591.43\right)^{2}+\left(967-591.43\right)^{2}+\left(130-591.43\right)^{2}+\left(944-591.43\right)^{2}+\left(0-591.43\right)^{2}\) - step3: Subtract the numbers: \(\left(-58.43\right)^{2}+341.57^{2}+101.57^{2}+\left(967-591.43\right)^{2}+\left(130-591.43\right)^{2}+\left(944-591.43\right)^{2}+\left(0-591.43\right)^{2}\) - step4: Subtract the numbers: \(\left(-58.43\right)^{2}+341.57^{2}+101.57^{2}+375.57^{2}+\left(130-591.43\right)^{2}+\left(944-591.43\right)^{2}+\left(0-591.43\right)^{2}\) - step5: Subtract the numbers: \(\left(-58.43\right)^{2}+341.57^{2}+101.57^{2}+375.57^{2}+\left(-461.43\right)^{2}+\left(944-591.43\right)^{2}+\left(0-591.43\right)^{2}\) - step6: Subtract the numbers: \(\left(-58.43\right)^{2}+341.57^{2}+101.57^{2}+375.57^{2}+\left(-461.43\right)^{2}+352.57^{2}+\left(0-591.43\right)^{2}\) - step7: Remove 0: \(\left(-58.43\right)^{2}+341.57^{2}+101.57^{2}+375.57^{2}+\left(-461.43\right)^{2}+352.57^{2}+\left(-591.43\right)^{2}\) - step8: Convert the expressions: \(\left(-\frac{5843}{100}\right)^{2}+341.57^{2}+101.57^{2}+375.57^{2}+\left(-461.43\right)^{2}+352.57^{2}+\left(-591.43\right)^{2}\) - step9: Convert the expressions: \(\left(-\frac{5843}{100}\right)^{2}+\left(\frac{34157}{100}\right)^{2}+101.57^{2}+375.57^{2}+\left(-461.43\right)^{2}+352.57^{2}+\left(-591.43\right)^{2}\) - step10: Convert the expressions: \(\left(-\frac{5843}{100}\right)^{2}+\left(\frac{34157}{100}\right)^{2}+\left(\frac{10157}{100}\right)^{2}+375.57^{2}+\left(-461.43\right)^{2}+352.57^{2}+\left(-591.43\right)^{2}\) - step11: Convert the expressions: \(\left(-\frac{5843}{100}\right)^{2}+\left(\frac{34157}{100}\right)^{2}+\left(\frac{10157}{100}\right)^{2}+\left(\frac{37557}{100}\right)^{2}+\left(-461.43\right)^{2}+352.57^{2}+\left(-591.43\right)^{2}\) - step12: Convert the expressions: \(\left(-\frac{5843}{100}\right)^{2}+\left(\frac{34157}{100}\right)^{2}+\left(\frac{10157}{100}\right)^{2}+\left(\frac{37557}{100}\right)^{2}+\left(-\frac{46143}{100}\right)^{2}+352.57^{2}+\left(-591.43\right)^{2}\) - step13: Convert the expressions: \(\left(-\frac{5843}{100}\right)^{2}+\left(\frac{34157}{100}\right)^{2}+\left(\frac{10157}{100}\right)^{2}+\left(\frac{37557}{100}\right)^{2}+\left(-\frac{46143}{100}\right)^{2}+\left(\frac{35257}{100}\right)^{2}+\left(-591.43\right)^{2}\) - step14: Convert the expressions: \(\left(-\frac{5843}{100}\right)^{2}+\left(\frac{34157}{100}\right)^{2}+\left(\frac{10157}{100}\right)^{2}+\left(\frac{37557}{100}\right)^{2}+\left(-\frac{46143}{100}\right)^{2}+\left(\frac{35257}{100}\right)^{2}+\left(-\frac{59143}{100}\right)^{2}\) - step15: Rewrite the expression: \(\frac{5843^{2}}{100^{2}}+\left(\frac{34157}{100}\right)^{2}+\left(\frac{10157}{100}\right)^{2}+\left(\frac{37557}{100}\right)^{2}+\left(-\frac{46143}{100}\right)^{2}+\left(\frac{35257}{100}\right)^{2}+\left(-\frac{59143}{100}\right)^{2}\) - step16: Rewrite the expression: \(\frac{5843^{2}}{100^{2}}+\frac{34157^{2}}{100^{2}}+\left(\frac{10157}{100}\right)^{2}+\left(\frac{37557}{100}\right)^{2}+\left(-\frac{46143}{100}\right)^{2}+\left(\frac{35257}{100}\right)^{2}+\left(-\frac{59143}{100}\right)^{2}\) - step17: Rewrite the expression: \(\frac{5843^{2}}{100^{2}}+\frac{34157^{2}}{100^{2}}+\frac{10157^{2}}{100^{2}}+\left(\frac{37557}{100}\right)^{2}+\left(-\frac{46143}{100}\right)^{2}+\left(\frac{35257}{100}\right)^{2}+\left(-\frac{59143}{100}\right)^{2}\) - step18: Rewrite the expression: \(\frac{5843^{2}}{100^{2}}+\frac{34157^{2}}{100^{2}}+\frac{10157^{2}}{100^{2}}+\frac{37557^{2}}{100^{2}}+\left(-\frac{46143}{100}\right)^{2}+\left(\frac{35257}{100}\right)^{2}+\left(-\frac{59143}{100}\right)^{2}\) - step19: Rewrite the expression: \(\frac{5843^{2}}{100^{2}}+\frac{34157^{2}}{100^{2}}+\frac{10157^{2}}{100^{2}}+\frac{37557^{2}}{100^{2}}+\frac{46143^{2}}{100^{2}}+\left(\frac{35257}{100}\right)^{2}+\left(-\frac{59143}{100}\right)^{2}\) - step20: Rewrite the expression: \(\frac{5843^{2}}{100^{2}}+\frac{34157^{2}}{100^{2}}+\frac{10157^{2}}{100^{2}}+\frac{37557^{2}}{100^{2}}+\frac{46143^{2}}{100^{2}}+\frac{35257^{2}}{100^{2}}+\left(-\frac{59143}{100}\right)^{2}\) - step21: Rewrite the expression: \(\frac{5843^{2}}{100^{2}}+\frac{34157^{2}}{100^{2}}+\frac{10157^{2}}{100^{2}}+\frac{37557^{2}}{100^{2}}+\frac{46143^{2}}{100^{2}}+\frac{35257^{2}}{100^{2}}+\frac{59143^{2}}{100^{2}}\) - step22: Transform the expression: \(\frac{5843^{2}+34157^{2}+10157^{2}+37557^{2}+46143^{2}+35257^{2}+59143^{2}}{100^{2}}\) - step23: Evaluate the power: \(\frac{5843^{2}+34157^{2}+10157^{2}+37557^{2}+46143^{2}+35257^{2}+59143^{2}}{10000}\) Calculate or simplify the expression \( \sqrt{958466.1143} \). Calculate the value by following steps: - step0: Calculate: \(\sqrt{958466.1143}\) - step1: Rewrite the expression: \(\sqrt{\frac{9584661143}{10000}}\) - step2: Use the properties of radicals: \(\frac{\sqrt{9584661143}}{\sqrt{10000}}\) - step3: Simplify the expression: \(\frac{\sqrt{9584661143}}{100}\) The standard deviation of the given data is approximately 979.01. Therefore, the mean of the data is approximately 591.43, and the standard deviation is approximately 979.01.