Question

Jody, a statistics​ major, grows tomatoes in her spare time. she keeps a record of the weight of each tomato she grows. what percentage of all her tomatoes will be within one standard deviation of the mean​ weight? choose the correct answer below.

a. 50
b. 99.7
c. 95
d. 68
e. 10

Answer 1

Refer to the figure below.
μ = the mean
σ = the standard deviation

If the weights of the tomatoes are normally distributed, then about 68% of the weights will be within one standard deviation from the mean.
That is,
P(μ-σ ≤ x ≤ μ+σ) = 0.68

Answer: c. 68