Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

#16 according to the empirical rule, what percentage of data values wou…

Question

#16 according to the empirical rule, what percentage of data values would you expect to be located within 1 standard deviation (sd-unit) from the mean?
(a) 50.0%
(b) 68.0%
(c) 90.0%
(d) 95.0%
(e) 99.7%

#17 according to the empirical rule, what percentage of data values would you expect to be located within 2 standard deviations (sd-units) from the mean?
(a) 50.0%
(b) 68.0%
(c) 90.0%
(d) 95.0%
(e) 99.7%

#18 according to the empirical rule, what percentage of data values would you expect to be located within 3 standard deviations (sd-units) from the mean?
(a) 50.0%
(b) 68.0%
(c) 90.0%
(d) 95.0%
(e) 99.7%

Explanation:

Brief Explanations

The Empirical Rule (for normal distributions) states that ~68% of data lies within 1 standard deviation of the mean, ~95% within 2, and ~99.7% within 3. These are standard values for the rule.

Answer:

#16: B. 68.0%
#17: D. 95.0%
#18: E. 99.7%