The number line shown contains three points R, S, and T, whose coordinates have absolute values r, s, and t, respectively. Which of the following equals the average (arithmetic mean) of the coordinates of the points R, S, and T ? : Crackverbal Support

The number line shown contains three points R, S, and T, whose coordinates have absolute values r, s, and t, respectively. Which of the following equals the average (arithmetic mean) of the coordinates of the points R, S, and T ? Print

Modified on: Tue, 12 Oct, 2021 at 12:36 PM

Concept: The question tests on the application of absolute value.

Solution :

Let the points be R,S,T and they have coordinates -a, b, c respectively.

r, s, t are the absolute values of the coordinates -a,b,c respectively.

With R being on the negative side of the number line would have,

r=|-a|= -(-a)

=> -a (the coordinate in context)= -r

s = |b| = b

t = |c| = c

Thus the coordinates -a,b,c in terms of r, s, t are -r, s ,t respectively.

Hence average of the coordinates -a, b, c = -r + s + t /3 (Option e)

Pls note that the question asks you of the average of the coordinates

Did you find it helpful? Yes No

The number line shown contains three points R, S, and T, whose coordinates have absolute values r, s, and t, respectively. Which of the following equals the average (arithmetic mean) of the coordinates of the points R, S, and T ? Print

Related Articles