Question

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

Answer 1

Answer: 15

Explanation:

Answer 2

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`