About % of the area is between z= -1 and z= 1 (or within 1 standard deviation of the mean)? how do you solve this?

The percentage of area within 1 standard deviation of the mean of a normal curve is 68%

To obtain the percentage of area within One - standard deviation of the mean :

P(-1 ≤ Z ≤ 1) = P(Z < 1) - P(Z < - 1)

The percentage of the area below 1 standard deviation of the mean ; P(Z < 1) = 0.84134

The percentage of the area below - 1 standard deviation of the mean ; P(Z < - 1) = 0.15866

Therefore,

P(Z < 1) - P(Z < - 1) = (0.84134 - 0.15866) = 0.68268 = 68.3%

Therefore, about 68% of the area under a normal curve is within 1 standard deviation of the mean

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68%

Step-by-step explanation:

68-95-99.7% Rule:

This is the empirical rule which is used to remember the percentage of values that is within a band of the mean. We say:

Clearly, from the empirical rule, we see that about 68% of the area is between z = -1 and z = 1 (or within 1 standard deviation of the mean)

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answer 1 : option "c"

answer 2 : option "d"

answer 3 : option "b"

answer 4 : option "d"

answer 5 : option "b"

answer 6 : option "a"

answer 7 : option "c"

answer 8 : option "d"

answer 9 : option "c"

answer 10 : option "d"

answer 11 : option "c"

answer 12 option "b"

answer 13 option "c"

answer 14 option "c"

answer 15 option "d"

answer 16 option "a"

answer 17 option "b"

answer 18 option "c"

answer 19 option "a"

answer 20 option "a"

answer 21 option "c"

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