High School

Given a set of data that is bell-shaped, there is approximately ________% of the data within 2 standard deviations.

Use either Chebyshev's Theorem or the Empirical Rule to fill in the blank with the best answer:

A. 68
B. 75
C. 89
D. 95
E. 99.7

Answer :

The best answer to fill in the blank would be 95%. This is based on the Empirical Rule, which states that for a bell-shaped distribution, approximately 95% of the data falls within 2 standard deviations of the mean.

The Empirical Rule, also known as the 68-95-99.7 rule, is a statistical rule that applies to data that is approximately normally distributed or bell-shaped. According to this rule:

Approximately 68% of the data falls within one standard deviation of the mean.

Approximately 95% of the data falls within two standard deviations of the mean.

Approximately 99.7% of the data falls within three standard deviations of the mean.

In this case, since the data is bell-shaped, we can apply the Empirical Rule and conclude that approximately 95% of the data falls within 2 standard deviations. This means that the correct answer to fill in the blank is 95%.

Learn more about statistics here:

https://brainly.com/question/12805356

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