Home
/
Math
/
In the Normal Curve Distribution, What Percent of the Data Falls: Within One Standard Deviation [Select] Mean? Square About the

Question

In the normal curve distribution, what percent of the data falls: within one standard deviation [Select] mean? square about the

Solution

Expert Verified
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%.