A distribution of measurements is relatively mound-shaped with a mean of 60 and a standard deviation of 14. Use this information to find the proportion of measurements in the given interval. between 46 and 74

0.6826

Step-by-step explanation:

Empirical rule states that when the a distribution is mound - shaped then the proportion of measurement falls in one standard deviation, two standard deviation, three standard deviation away from the mean are 68.26%, 95.44% and 99.73%.

We are given that mean = 60 and standard deviation=14

mean-one standard deviation=60-1*14=46

mean+one standard deviation=60+1*14=60+14=74

We know that proportion of measurement falls in one standard deviation is 0.6826 or 68.26%.

Thus, proportion of measurements in the given interval. between 46 and 74 is 0.6826