Basis for the Range Rule of Thumb and the Empirical Rule . In Exercises 45–48, find the indicated area under the curve of the standard normal distribution ; then convert it to a percentage and fill in the blank. The results form the basis for the range rule of thumb and the empirical rule introduced in Section 3-2. 45. About __________ % of the area is between z = −1 and z = 1 (or within 1 standard deviation of the mean).
Basis for the Range Rule of Thumb and the Empirical Rule . In Exercises 45–48, find the indicated area under the curve of the standard normal distribution ; then convert it to a percentage and fill in the blank. The results form the basis for the range rule of thumb and the empirical rule introduced in Section 3-2. 45. About __________ % of the area is between z = −1 and z = 1 (or within 1 standard deviation of the mean).
Basis for the Range Rule of Thumb and the Empirical Rule. In Exercises 45–48, find the indicated area under the curve of the standard normal distribution; then convert it to a percentage and fill in the blank. The results form the basis for the range rule of thumb and the empirical rule introduced in Section 3-2.
45. About __________ % of the area is between z = −1 and z = 1 (or within 1 standard deviation of the mean).
Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.
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