Problema Solution
In a class of 6th graders, 28 students are 12 years old, except for one. What two measurements of data are the same for the information presented? (mean, median, mode, range).
Answer provided by our tutors
the mode is definitely 12 years of age
the median is definitely 12 years of age
the range and mean are unknown because we do not have any information on the age of the unaccounted-for student, we only know that 27 students are 12 years old and one is some unknown age, presumably 12 or 13
let 'x' represent the age of the unknown student, then we have:
mean = (27*12 + x)/28
range = [12, x] if x>12 or [x, 12] if x < 12
so the answer this problem seeks must certainly be 'mode' and 'median'