Answer:
sample standard deviation of 10 letter counts (9,6,8,9,6,7,5,5,6,7) is 1.476
Step-by-step explanation:
Sample standard deviation is the square root of the equation (sample varaince)
That is, sum of the square differences from the mean divided by (sample size -1) : Σ ([tex](\frac{(x_{i} - M)^2}{n-1} )[/tex] where
Lets create 10 word and their letter counts sample using some of the words of the question:
{Calculate : 9, sample: 6, standard: 8, deviation: 9, number: 6, letters: 7, words: 5, Round: 5, answer: 6, decimal: 7}
The elements of the sample are:
9,6,8,9,6,7,5,5,6,7
Mean of the sample is: ([tex]M=\frac{9+6+8+9+6+7+5+5+6+7}{10} =6.8[/tex])
Sample variance is:
[tex]\frac{(9-6.8)^{2}+(6-6.8)^{2}+(8-6.8)^{2}+(9-6.8)^{2}+(6-6.8)^{2}+(7-6.8)^{2}+(5-6.8)^{2}+(5-6.8)^{2}+(6-6.8)^{2}+(7-6.8)^{2} }{10-1}[/tex]≈2.178
And finally sample standard deviation is : [tex]\sqrt{2.178}[/tex] ≈1.476
