Solved:
Answered by AI, Verified by Human Experts
This is a standard deviation contest. You must choose four numbers from the whole numbers 0 to 10 , with repeats allowed. (a) Choose four numbers that have the smallest possible standard deviation. What is s in this case? (Enter your answer rounded to the nearest whole number.)
This is a standard deviation contest. You must choose four numbers from the whole numbers 0 to 10 , with repeats allowed. (a) Choose four numbers that have the smallest possible standard deviation. What is s in this case? (Enter your answer rounded to the nearest whole number.)
Answer:Kindly check explanationStep-by-step explanation:Given the following instructions :Choose 4 numbers from the whole numbers 0 - 10Note : Repetition is allowedChoose 4 numbers with the smallest possible standard deviation.The smallest possible value of standard deviation obtainable is 0;Hence in other to obtain a standard deviation value of 0, then;The mean squared deviation value must be zero (0)Σ(X - mean)^2 = 0To achieve this, the values of X and the mean must be the same.Hence all 4 numbers (X) must be the same in other to have a mean value which is equal to XFor instance :If X = 3, 3, 3, 3 (since Repetition is allowed)Man value = (3+ 3+ 3+ 3) / 4 = 12 / 4 = 3Σ(3 - 3)² = 0 for all values of x√Σ(x - mean)² / n = 0 ; if all values of x are the Samen = Number of observationsA possible list of values is (3,3,3,3)...