Five number have a mean of 24, the mean of the three smallest numbers is 19 and the mean of the three largest numbers is 28 What is the median of the five numbers ?

Question

Five number have a mean of 24, the mean of the three smallest numbers is 19 and the mean of the three largest numbers is 28 What is the median of the five numbers ? 20 21 22 23 24 25

Answer 1

x =21 = the middle number = the median

lowest 3 = u+v+x = 3(19) = 57

largest 3 = x+y+z = 3(28) = 84

sum of all 5 = 5(24) = 120

120-36-63 = 120-99 =21 = x = median

u+v = 57-21 = 36

y+z =84-21 = 63