Suppose two random variables have standard deviations of 0.10 and 0.23, respectively. What does this tell you about their distributions?

Hugh Soto

Hugh Soto

Answered question

2022-09-08

Suppose two random variables have standard deviations of 0.10 and 0.23, respectively. What does this tell you about their distributions?

Answer & Explanation

Clarence Mills

Clarence Mills

Beginner2022-09-09Added 18 answers

Take note that the standard deviation measures how scattered or spread out the distribution is. The higher the standard deviation, the more varied the data or values are. Since 0.23 > 0.10, then we should expect that the random variable with σ = 0.23 should have a higher a wider distribution that the random variable with σ = 0.10.
Result:
The random variable with σ = 0.23 should have a higher a wider distribution that the random variable with σ = 0.10

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