Calculate the mean, variance, standard deviation and standard error of the birth weights of ten albino ratsgiven below:15, 24, 12, 8, 28, 21, 12, 16, 20, 19Answers ????????????????????????
Question
Calculate the mean, variance, standard deviation and standard error of the birth weights of ten albino ratsgiven below:15, 24, 12, 8, 28, 21, 12, 16, 20, 19Answers ????????????????????????
Solution
Sure, let's calculate these step by step:
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Mean: The mean is the sum of all values divided by the number of values.
(15 + 24 + 12 + 8 + 28 + 21 + 12 + 16 + 20 + 19) / 10 = 175 / 10 = 17.5
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Variance: The variance is the average of the squared differences from the mean.
First, calculate the differences from the mean: (15-17.5)^2, (24-17.5)^2, (12-17.5)^2, (8-17.5)^2, (28-17.5)^2, (21-17.5)^2, (12-17.5)^2, (16-17.5)^2, (20-17.5)^2, (19-17.5)^2
Then, sum these values and divide by the number of values: (6.25 + 42.25 + 30.25 + 90.25 + 110.25 + 12.25 + 30.25 + 2.25 + 6.25 + 2.25) / 10 = 332.5 / 10 = 33.25
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Standard Deviation: The standard deviation is the square root of the variance.
sqrt(33.25) = 5.77 (rounded to two decimal places)
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Standard Error: The standard error is the standard deviation divided by the square root of the number of values.
5.77 / sqrt(10) = 5.77 / 3.16 = 1.83 (rounded to two decimal places)
So, the mean is 17.5, the variance is 33.25, the standard deviation is 5.77, and the standard error is 1.83.
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