Tin_Whisker
New member
- Joined
- Jul 25, 2014
- Messages
- 4
I have a set of weights of cases of apples. Each case contains 6 apples. the weights I have are net weights so only the weight of the apples is counted. I would like to estimate the st. deviation of the apples.
Calculating the st. dev. of the cases is easy, but that is not what I am after. Since it is the variance in individual apple weights that comprise the variance in the case weights, there should be a way to calc this assuming the apple weights are normally distributed in the cases. I know engineers use a sum of squares approach for relating tolerances on interacting dimensions, which seems related but I can not gronk how to turn that into what i need.
Here are the case weights in lb. for reference:
Calculating the st. dev. of the cases is easy, but that is not what I am after. Since it is the variance in individual apple weights that comprise the variance in the case weights, there should be a way to calc this assuming the apple weights are normally distributed in the cases. I know engineers use a sum of squares approach for relating tolerances on interacting dimensions, which seems related but I can not gronk how to turn that into what i need.
Here are the case weights in lb. for reference:
1.86 |
1.89 |
1.87 |
1.88 |
1.91 |
1.87 |
1.91 |
1.89 |
1.93 |
1.90 |
1.91 |
1.90 |
1.89 |
1.89 |
1.89 |
1.89 |
1.90 |
1.89 |
1.87 |
1.88 |
1.87 |
1.87 |
1.85 |
1.87 |
1.87 |
1.88 |
1.89 |
1.87 |
1.88 |
1.88 |
1.88 |
1.88 |
1.89 |
1.90 |
1.91 |
1.89 |
1.87 |
1.88 |
1.90 |
1.90 |
1.92 |
1.87 |
1.88 |
1.89 |
1.90 |
1.87 |
1.87 |
1.86 |
1.87 |
1.89 |
1.88 |
1.88 |
1.89 |
1.88 |
1.90 |
1.89 |
1.92 |
1.91 |
1.90 |
1.89 |
1.88 |
1.90 |
1.90 |
1.89 |
1.89 |
1.88 |
1.88 |
1.88 |
1.88 |
1.87 |
1.87 |
1.86 |
1.88 |
1.88 |
1.92 |
1.88 |
1.89 |
1.87 |
1.88 |
1.92 |
1.91 |
1.89 |
1.90 |
1.88 |
1.89 |
1.88 |
1.89 |
1.88 |
1.89 |
1.86 |
1.88 |
1.88 |
1.86 |
1.87 |
1.86 |
1.86 |