In a normal distribution, about how many percent of the scores fall between -1SD to +1SD?*1 pointa. 68.26%b. b. 58,75%c. c. 34.13%d. d. 30.86%

Break Down the Problem

1. Identify the properties of a normal distribution.
2. Determine the percentage of data within one standard deviation (SD) from the mean.

Relevant Concepts

• In a normal distribution:
  • Approximately 68% of the data falls within one standard deviation from the mean.

Analysis and Detail

1. The mean ($\mu$) divides the normal distribution into two halves.
2. One standard deviation ($\sigma$) from the mean includes:
   • From $\mu - \sigma$ to $\mu + \sigma$.
3. According to the empirical rule (68-95-99.7 rule):
   • About 68.26% of the data falls within one standard deviation from the mean.

Verify and Summarize

• The calculations align with the empirical rule, confirming that the percentage of scores between -1SD to +1SD is approximately 68.26%.

Final Answer

a. 68.26%