Problema Solution
juan got these scores on four tests: 100,79,86, and 91. what is the standard defiation for this distribution?
Answer provided by our tutors
Firstly lets calculate the mean.
µ = ∑xi / N
where xi is the value of the ith discrete entity and N is the total entities.
Here, N = 4 ( since we have four marks)
now, µ = (100+79+86+91)/4 = 89
now standard deviation σ = √{(1/N) ∑(xi-µ)^2}
→ σ = √{((100-89)^2 + (79-89)^2 + (86-89)^2 + (91-89)^2)/4}
= √{(121 + 100 + 9 + 4) /4 }
= √58.5
= 7.6485