Mean + line segment - math problems

the arithmetic mean (simply the mean or average) is the sum of a collection of numbers divided by the count of numbers in the collection. The arithmetic mean is the most commonly used and readily understood measure of central tendency in a data set. It is a statistical characteristic of the center of a given data set.

Arithmetic mean is a quantity very sensitive to extreme values, so the median and mode are also used in practice. Mode is the most common value. The median halves the ordered file.

Number of problems found: 9

  • My father
    plot2 My father cut 78 slats on the fence. The shortest of them was 97 cm long, the longer one was 102 cm long. What was the total length of the slats in cm?
  • Coordinates hexagon
    hexagon The regular hexagon ABCDEF is given. Point A has coordinates [1; 3] and point D has coordinates [4; 7]. Calculate the sum of the coordinates of the center of its described circle.
  • Coordinates of a centroind
    triangle_234 Let’s A = [3, 2, 0], B = [1, -2, 4] and C = [1, 1, 1] be 3 points in space. Calculate the coordinates of the centroid of △ABC (the intersection of the medians).
  • MG=7x-15,
    segment_6 MG=7x-15, FG=33, x=? Point M is the midpoint of FG. Find unknown x.
  • Midpoint 6
    segment_5 FM=8a+1, FG=42, a=? Point M is the midpoint of FG. Find unknown a.
  • Find midpoint
    midpoint FM=5y+13, MG=5-3y, FG=? M is the midpoint of FG. Use the given information to find the missing measure or value.
  • Midpoint 4
    segment_3 If the midpoint of a segment is (6,3) and the other end point is (8,-4) what are thw coordinate of the other end?
  • Find the 3
    segment_2 Find the distance and mid-point between A(1,2) and B(5,5).
  • Triangle midpoints
    sierpinski-geometry Determine coordinates of triangle ABC vertices if we know tirangle sides midpoints SAB [0;3] SBC [1;6] SAC [4;5], its sides AB, BC, AC.

We apologize, but in this category are not a lot of examples.
Do you have an interesting mathematical word problem that you can't solve it? Submit a math problem, and we can try to solve it.



We will send a solution to your e-mail address. Solved examples are also published here. Please enter the e-mail correctly and check whether you don't have a full mailbox.

Please do not submit problems from current active competitions such as Mathematical Olympiad, correspondence seminars etc...



Looking for help with calculating arithmetic mean? See also more information on Wikipedia.