Let \(m\) and \(s\) be the mean and standard deviation, respectively, of the ages of children in a certain daycare center. Which of the following gives the mean and standard deviation of the ages of the same children 5 years later?

$$ \begin{array}{l c c} &\underline{\text{Mean}} \underline{\text{Standard deviation}} & \\ \text{A.} & m & s \\ \text{B.} & m & s+5 \\ \text{C.} & m+5 & s \\ \text{D.} & m+5 & s+5 \\ \text{E.} & m+5 & 5s \\ \end{array} $$

Summary Submit Skip Question

All of the ages will increase by 5, so the mean will increase by 5. Standard deviation is a measure of the spread of the data. The spread does not change since each score increases by the same amount.