232k views
5 votes
If nothing is known about the shape of the distribution of a quantitative variable, what percentage of data fall within 2 standard deviation of the mean?

User Chollida
by
8.3k points

2 Answers

6 votes

Answer:

95%

Step-by-step explanation:

I just took a test

User Uladzislau Vavilau
by
9.5k points
7 votes
At least 75% of the data will fall within 2 standard deviations of the mean. This is tricky problem. Usually when you're dealing with standard deviation, you have a bell curve, or something close to a bell curve and for such a data distribution, there will be approximately 95% of the data within 2 standard deviations of the mean. But if you don't know that you have a bell curve, you have to fall back to Chebyshev’s Theorem, which states that at least 75% of the data points will fall within 2 standard deviations of the mean for any set of numbers.
User Alif
by
8.7k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.