Question

In a data set with a normal distribution the main is 59 and standard deviation is three about what percent of the data live between 53 and 62

Answer 1

81.9%

Explanation:

In a data set with a normal distribution the mean is 59 and standard deviation is three about what percent of the data live between 53 and 62

Using z score formula

z = (x-μ)/σ, where

x is the raw score,

μ is the population mean = 59

and σ is the population standard deviation = 3

For x = 53

z = 53 - 59/3

= -2

P-value from Z-Table:

P(x = 53) = 0.02275

For x = 62

z = 62 - 59/3

= 1

P-value from Z-Table:

P(x = 62) = 0.84134

Hence, the probability of the data live between 53 and 62 is

0.84134 - 0.02275

0.81859

Converting to Percentage.= 0.81859

× 100 = 81.859%

Approximately = 81.9%