The average of the four consecutive odd numbers is 16. What is the third number in the descending order?
Answer & explanation
Correct answer: option 2
let four consecutive odd numbers are = x, x+2, x+4, x+6
Sum of numbers = x + x+2 + x+4 + x+6 = 4x + 12
Average of numbers = \(\frac{sum of observations}{no. of observations}\)
16 = \(\frac{4x\;+\;12}{4}\)
64 = 4x + 12
x = \(\frac{64 - 12 }{4}\) = 13
So the numbers are = 13, 15, 17, 19
Descending order = 19, 17, 15, 13
Third number = 15