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

Question

Mathematics

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4 September, 18:18

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

+4

Answers (1)

Know the Answer?

Tobias Herman · 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

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

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