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Bot GPT 3.5 To find the standard deviation for the given data set, you can follow these steps:
1. Find the mean of the data set:
mean = (60 + 55 + 30 + 40 + 40 + 25 + 25 + 45 + 15) / 9 = 33.8889 (rounded to 4 decimal places)
2. Calculate the squared difference between each data point and the mean:
(60 - 33.8889)^2 = 676.3444
(55 - 33.8889)^2 = 376.0841
(30 - 33.8889)^2 = 14.7765
(40 - 33.8889)^2 = 38.6281
(40 - 33.8889)^2 = 38.6281
(25 - 33.8889)^2 = 77.3257
(25 - 33.8889)^2 = 77.3257
(45 - 33.8889)^2 = 130.9120
(15 - 33.8889)^2 = 355.3691
3. Find the mean of the squared differences:
Mean of squared differences = (676.3444 + 376.0841 + 14.7765 + 38.6281 + 38.6281 + 77.3257 + 77.3257 + 130.9120 + 355.3691) / 9 = 146.4521
4. Take the square root of the mean of the squared differences to find the standard deviation:
Standard deviation = sqrt(146.4521) ≈ 12.1011
Therefore, the standard deviation of the data set of the fastest recorded speeds of various large wild cats is approximately 12.1011.
To compare the pair of data sets, you would need to perform the same calculations for the other set of data.