The mean lifespan is 71.45 years, and the standard deviation is 12.35 years. President Ronald Reagan lived to be 93 years old. Calculate and interpret his z-score

The raw score of President Ronald Reagan is 1.745 which means that the President was older than approximately 96% of the population

Step-by-step explanation:

The z-score which is the standard score provides an indication the magnitude of the extent of a data point from the mean. It is calculated by measuring the number of standard deviations a data point is higher than or less than the mean.

The z-score, is given by the relation;

Where;

x = The data point value

μ = The mean

σ = The standard deviation

Given that we have;

The mean lifespan = 71.45 years

The standard deviation = 12.35 years

We can find the raw score of President Ronald Reagan's age of 93 years as follows;

The raw score of President Ronald Reagan is 1.745 which means that (by looking for the p value online) , the President was older than (1 - 0.040501) × 100 percent or approximately 96% of the population.

step-by-step explanation: