Question

A distribution of measurements is relatively mound-shaped with a mean of 60 and a standard deviation of 15. Use this information to find the proportion of measurements in the given interval. between 45 and 75

Answer 1

Answer: 68.26% is the proportion of measurements in interval (45, 75)

Explanation:

we have a function of values that closely follows a normal distribution function.

The mean is m = 60

Standard deviation s = 15

The interval within one standard deviation of the mean is (45, 75)

Notice according to the graph of the normal curve, we have:

1 -0.1587 - 0.1587=0.6826 is the percentage of all the data in the interval (45, 75)

Proportion of measurements is 68.26%

From MysticAlanCheng