Answer :
Final answer:
The standard deviation of the total fruit production of the three tomato plants, which is 173, 100, and 230 lbs per plant, is calculated to be around 65.17 lbs per plant.
Explanation:
To calculate the standard deviation of the total fruit production of the three tomato plants, first, find the mean (average) of the production. The mean is the sum of the plant productions (173+100+230) divided by the number of plants (3), which is 167.67 lbs/plant. After this, subtract the mean from each plant's production to get the deviation. The deviations are: 173-167.67 = 5.33, 100-167.67 = -67.67, and 230-167.67 = 62.33.
Square each deviation to get: 28.39, 4,577.91, and 3,889.79. Then, add these squared deviations together: 28.39+4577.91+3889.79 = 8,496.09. Divide this total by the number of plants minus 1 (3-1 =2): 4,248.045. Finally, the standard deviation is the square root of that number: 65.17 lbs/plant.
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