The Arithmetic mean of Three Observations is x?

Question: The arithmetic mean of three observations is x. If the values of two observations are y and z, what is the value of the third observation?

1. x
2. y + z – x
3. (x + y + z)/3
4. (x – y – z)/3

The Arithmetic mean of Three Observations is x Answer:

Solution: In an arithmetic mean problem, you find the arithmetic mean (often denoted by x̄) by summing all the observations and dividing by the number of observations.

• In this case, we have three observations, so the arithmetic mean can be expressed as: x̄ = (y + z + ?) / 3
• To find the value of the third observation, we can rearrange the equation: y + z +? = x̄ * 3
• Now, to determine the value of the third observation, we subtract the sum of the given observations (y + z) from the product of the arithmetic mean and the number of observations (x̄ * 3):? = (x̄ * 3) – (y + z)

In conclusion, to find the missing observation in an arithmetic mean problem, you can calculate it by subtracting the sum of the known observations from the product of the arithmetic mean and the number of observations.

A body travels along a circular path of radius 70 meters, maintaining a constant speed. This circular motion involves a continuous change in direction, creating a centripetal force that keeps the body on its path. The body’s velocity is tangent to the circular path at any point. The acceleration points toward the center of the circle. The formula for centripetal acceleration is ac​=v2/r​, where r is the radius. Understanding this concept is vital in physics and applies to real-world scenarios, like satellites and vehicles.