Answer :
The value of standard deviation is 88,389.
The Normal distribution id the contionuouse distribution with unimodal and symmetric shaped, it is widely used to approximated discrete distribution and sample mean and a total sum of the random variable, the approximation depends on the concept og the Central limit theorem.
The Central limit theorem states that the sampling distribution of the mean will always be normally distributed, as long as the sample size is large enough.
We have given that,
average = 2.500,000
standard deviation σ = 625,000
sample n = 50.
Therefore S = σ / √n
= 625000 / √50
= 625000 / 7.071
S = 88,389
Hence the standard deviation will be 88,389.
To know more about deviation here
https://brainly.com/question/16966492
#SPJ4