SOLUTION: Johnny was fishing Bass and caught these 5 fish. Fish lengths: 4, 6, 7, 8, 10 The mean is 7.0, based on his catches he calculates an estimated Standard deviation, called t

Algebra ->  Test -> SOLUTION: Johnny was fishing Bass and caught these 5 fish. Fish lengths: 4, 6, 7, 8, 10 The mean is 7.0, based on his catches he calculates an estimated Standard deviation, called t      Log On


   

Question 1194641: Johnny was fishing Bass and caught these 5 fish.
Fish lengths: 4, 6, 7, 8, 10
The mean is 7.0, based on his catches he calculates an estimated Standard deviation, called the Sample Standard Deviation is

.
Remember to use "Bessel's Correction".
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

Bessel's correction is the use of+n+%E2%88%92+1 instead of n in the formula for the sample variance and sample standard deviation

4, 6, 7, 8, 10
Count, N: 5
Sum, sum%28x%29:35
Mean, mu: 7
Standard deviation is the spread of a group of numbers from the mean. The variance measures the average degree to which each point differs from the mean. While standard deviation is the square root of the variance, variance is the average of all data points within a group.
Variance: Bessel's correction is the use of n+-1 instead of n in the formula for the sample variance delta%5E2 and sample standard deviation


delta%5E2=+%289+%2B1%2B0%2B1+%2B9%29%2F5
delta%5E2=+20%2F5+
delta%5E2=+4

Standard Deviation:
delta=+sqrt%284%29
delta=++2