In a normal distribution, .6826 of the scores will be located in the interval between.
A) the mean and plus $2 \sigma$
B) plus $1 \sigma$ and plus $2 \sigma$
C) the mean minus $1 \sigma$ and the mean plus $1 \sigma$
D) plus $2 \sigma$ and plus $3 \sigma$

Question

In a normal distribution, .6826 of the scores will be located in the interval between. 
A) the mean and plus $2 \sigma$
B) plus $1 \sigma$ and plus $2 \sigma$
C) the mean minus $1 \sigma$ and the mean plus $1 \sigma$
D) plus $2 \sigma$ and plus $3 \sigma$

Quizplus · Accepted Answer

The interval between the mean minus $1 \sigma$ and the mean plus $1 \sigma$ contains 68.26% of the scores in a normal distribution. This is commonly referred to as the 68-95-99.7 rule, which states that approximately 68% of the scores will fall within one standard deviation of the mean, 95% will fall within two standard deviations, and 99.7% will fall within three standard deviations. Therefore, options A, B, and D are incorrect.

In a Normal Distribution 2σ2 \sigma2σ B) Plus 1σ1 \sigma1σ And Plus 2σ2 \sigma2σ

In a Normal Distribution $2 \sigma$ B) Plus $1 \sigma$ And Plus $2 \sigma$