A normal distribution has a mean of 645.33 and a standard deviation of 12.78. Approximately 68 percent of the data will lie between which two values?
To find the values between which approximately 68 percent of the data will lie, we can use the empirical rule for normally distributed data:
- Approximately 68% of the data will lie within 1 standard deviation of the mean.
So, we need to find the values that are 1 standard deviation above and below the mean:
- 1 standard deviation above the mean: 645.33 + 12.78 = 658.11
- 1 standard deviation below the mean: 645.33 - 12.78 = 632.55
Therefore, approximately 68 percent of the data will lie between 632.55 and 658.11.
is this right
I apologize for the incorrect information in my previous response.
To find the range that contains approximately 68% of the data in a normal distribution, we use the empirical rule which states that:
- Approximately 68% of the data falls within 1 standard deviation of the mean.
Given that the mean is 645.33 and the standard deviation is 12.78, we can calculate the range as follows:
1. One standard deviation below the mean: 645.33 - 12.78 = 632.55
2. One standard deviation above the mean: 645.33 + 12.78 = 658.11
So, approximately 68% of the data will lie between 632.55 and 658.11.