Four siblings are 3​, 4​, 5​, and 8 years of age. Complete parts​ (a) through​ (e) below.
a. Calculate the mean of the children at their current ages.
b. Without doing any​ calculation, indicate whether the mean age in 10 years will be​ larger, smaller, or about the same as the mean of the current ages.
c. Calculate the standard deviation of their current ages.
d. Without doing any​ calculation, indicate whether the standard deviation of the ages in 10 years will be​ larger, smaller, or the same as the standard deviation of their current ages.