Jody, a statistics major, grows tomatoes in her spare time. She keeps a record of the weight of each tomato she grows. One tomato is 2 standard deviations heavier than the mean weight. Assume a Normal model is appropriate. What percentile is it in?

Assuming normal model, we see that a normal distribution is symmetrical about the mean and hence we have this tomato weight is to the right side of mean. Hence we add with 0.5

[tex]P(z <2) = 0.50+0.4772 = 0.9772[/tex]

i.e. This tomato is 97.7% above the others

Percentile = 97.7%

​Jody, a statistics​ major, grows tomatoes in her spare time. She keeps a record of the weight of each tomato she grows. One tomato is 2 standard deviations heavier than the mean weight. Assume a Normal model is appropriate. What percentile is it​ in?

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Jody, a statistics major, grows tomatoes in her spare time. She keeps a record of the weight of each tomato she grows. One tomato is 2 standard deviations heavier than the mean weight. Assume a Normal model is appropriate. What percentile is it in?