The standard deviation for a set of data is 7.5. The mean is 235. What is the margin of error?

Question

asked Sep 6, 2019 234k views

2 Answers

Laura Silvani · Answer 1 · 2019-09-13T16:24:57+0000

The margin of error is 0.97849

we are given

mean=235

so,

n=235

standard deviation =7.5

so,

$\sigma=7.5$

we know that

ME=2*standard error

and

$SE=(\sigma )/(√(n) )$

If confidence level is 95%, then we can multiply by 1.96

so, we can multiply by 2 to get ME

now, we can use marginal error formula

$ME=(2\sigma )/(√(n) )$

now, we can plug values

and we get

ME=(2* 7.5 )/(√(235) )

ME=0.97849