Question

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?

Answer 1

is this right

Answer 2

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.

Answer 3

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.