Question

the mean lifespan is 71.45 years, and the standard deviation is 12.35 years. Mr. Rodriguez would like to know how many days, on average, presidents tend to live beyond their 70th birthday. Find the mean and standard deviation of the transformed data. Note: There are 365 days in a year.

Answer 1

Standard deviation, ∂ = 64.21 days

Mean = 429.21 days

Explanation:

Given:

Mean lifespan = 71.45 years

Standard deviation = 12.35 years

Standard deviation, ∂ = x - µ / N

Where,

∂ = standard deviation

µ = mean life span

x = size of year

x = 70 years

Standard deviation, ∂ = x - µ / N

= 70 - (71.45 / 12.35)

= 70 - 5.79

= 64.21

Standard deviation, ∂ = 64.21 days

Mean = ∑x + standard deviation

∑x = 365

Mean = ∑x + standard deviation

= 365 + 64.21

= 429.21 days

Mean = 429.21 days