| Number | 1 | 2 | 3 | 4 | 5 | 6 | | X | 61 | 66.7 | 75.8 | 78.6 | 82.8 | 87.2 | | Y | 2034 | 2003.8 | 1964.5 | 1928.2 | 1885.3 | 1867.1 | So we have two random variables X and Y, which are probably related. We have thus drawn the following graph Calculate the standard deviation of Y

Thank you for the task 😊 Please hold for one moment. I'm doing my best to give you an answer as soon as possible 🚀 To calculate the standard deviation of the variable Y, you can follow these steps: Calculate the mean (average) of Y. Calculate the squared difference between each value of Y and the mean. Calculate the mean of the squared differences. Take the square root of the mean of the squared differences to get the standard deviation. Given the data you provided, the values of Y are: 2034, 2003.8, 1964.5, 1928.2, 1885.3, and 1867.1. Let's calculate the standard deviation: Step 1: Calculate the mean of Y. Mean = (2034 + 2003.8 + 1964.5 + 1928.2 + 1885.3 + 1867.1) / 6 = 1944.73333333 Step 2: Calculate the squared difference between each value of Y and the mean. Squared Differences: (2034 - 1944.73333333)^2 = 81562.8223556 (2003.8 - 1944.73333333)^2 = 3456.63484475 (1964.5 - 1944.73333333)^2 = 391.038131782 (1928.2 - 1944.73333333)^2 = 273.028311283 (1885.3 - 1944.73333333)^2 = 3517.06373389 (1867.1 - 1944.73333333)^2 = 6026.53453369 Step 3: Calculate the mean of the squared differences. Mean of Squared Differences = (81562.8223556 + 3456.63484475 + 391.038131782 + 273.028311283 + 3517.06373389 + 6026.53453369) / 6 = 13865.2691927 Step 4: Take the square root of the mean of the squared differences to get the standard deviation. Standard Deviation = √(13865.2691927) ≈ 117.669610765 So, the standard deviation of the variable Y is approximately 117.67.