Calculate sample statistics to estimate the population standard deviation and variance of all full-grown corn plants in Goateyeville, MN.

Question

In Goateyeville, MN, they use a new type of fish fertilizer. A random sampling of the heights of 20 full-grown corn plants in Goateyeville yields the following data: ( heights are in inches) ( 41.0, 51.1, 65.8, 57.3, 35.8, 61.5, 62.5, 65.8, 72.9, 62.7, 76.4, 81.9, 77.7, 79.0, 73.2, 52.1, 72.0, 69.7, 76.4, 73.4 ).

Answer 1

1. Sum all values and divide by 20 and you will get the mean.
2. Find differences between each data element and the mean
3. Square each difference.
4. Sum all squared differences
5. Divide the Sum by 20-1=19 and that would be Sample Variance
6. Take the square root of Sample variance and you have standard deviation