Can someone figure SD of 5 shots?

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kwaynem

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These are the 5 speeds in FPS
image.jpg
 

adamsredlines

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Standard Deviation, σ: 11.939849245279

Count, N: 5
Sum, Σx: 13514
Mean, μ: 2702.8
Variance, σ2: 142.56

Steps

standard-dev.gif


σ2 =
Σ(xi - μ)2
N
=
(2699 - 2702.8)2 + ... + (2725 - 2702.8)2
5
=
712.8
5
= 142.56
σ = √142.56
= 11.939849245279

Margin of Error (Confidence Interval)

The sampling mean most likely follows a normal distribution. In this case, the standard error of the mean (SEM) can be calculated using the following equation:

σx̄ =
σ
√N
= 5.3396629107089
Based on the SEM, the following are the margins of error (or confidence intervals) at different confidence levels. Depending on the field of study, a confidence level of 95% (or statistical significance of 5%) is typically used for data representation.
 

kwaynem

Sharpshooter
Special Hen
Joined
Jan 29, 2017
Messages
3,965
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6,409
Location
Pawhuska
Standard Deviation, σ: 11.939849245279

Count, N: 5
Sum, Σx: 13514
Mean, μ: 2702.8
Variance, σ2: 142.56

Steps

standard-dev.gif


σ2 =
Σ(xi - μ)2
N
=
(2699 - 2702.8)2 + ... + (2725 - 2702.8)2
5
=
712.8
5
= 142.56
σ = √142.56
= 11.939849245279

Margin of Error (Confidence Interval)

The sampling mean most likely follows a normal distribution. In this case, the standard error of the mean (SEM) can be calculated using the following equation:

σx̄ =
σ
√N
= 5.3396629107089
Based on the SEM, the following are the margins of error (or confidence intervals) at different confidence levels. Depending on the field of study, a confidence level of 95% (or statistical significance of 5%) is typically used for data representation.
Thanks but I took my last math class in 9th grade and never took algebra or any of that it gives me a headache looking at that but I’ll try or get my grandson to do it lol
 
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His number was Population Standard Deviation.
From the above link calculator there are different types.
Standard deviation is a measure of spread of numbers in a set of data from its mean value. Use our online standard deviation calculator to find the mean, variance and arithmetic standard deviation of the given numbers.

I just shoot and shoot and shoot in different temps until I find a load that works and toss out all the chrony numbers.

Numbers I found that make a huge difference are Ogive numbers
 

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