Question
In the normal curve distribution, what percent of the data falls: within one standard deviation [Select] mean? square about the
Solution
3.7
(293 Votes)
Zander
Professional ยท Tutor for 6 years
Answer
### 68%
Explanation
## Step 1: Understanding Standard Deviation and Normal Distribution### The standard deviation (
) measures the spread of data around the mean (
) in a normal distribution. A normal distribution is a bell-shaped curve where the data is symmetrically distributed around the mean.## Step 2: The Empirical Rule (68-95-99.7 Rule)### The empirical rule states that in a normal distribution:### * Approximately 68% of the data falls within one standard deviation of the mean (
).### * Approximately 95% of the data falls within two standard deviations of the mean (
).### * Approximately 99.7% of the data falls within three standard deviations of the mean (
).## Step 3: Applying the Empirical Rule to the Question### The question asks for the percentage of data within one standard deviation of the mean. According to the empirical rule, this is approximately 68%.