Discord
1:19 PM
Tue Apr 30
97%
Probability And Statistics
Summary Statistics - Empirical Rule
Empirical Rule: Let x_(1),x_(2),dots,x_(n) have a sample mean ar{x} and sample standard deviation s. If the histogram of these data is "bell-shaped," then, for large samples,
approximately 68% of the data are in the interval (ar{x} -s,ar{x} +s),
approximately 95% of the data are in the interval (ar{x} -2s,ar{x} +2s),
approximately 99.7% of the data are in the interval (ar{x} -3s,ar{x} +3s).
a) What percentage of people are shorter than 67 inches?
16+68=Explain how this answer was gotten
4 Discord1:19 PM Tue Apr 30
97%
Probability And Statistics
88 Q
0
C
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ab
Summary Statistics - Empirical Rule
Empirical Rule: Let x1,2,...,x, have a sample mean x and sample standard deviation s. If the histogram of these data is bell-shaped, then, for large samples,
approximately 68% of the data are in the interval ( s,x + s) approximately 95% of the data are in the interval ( 2s,x + 2s), approximately 99.7% of the data are in the interval (x 3s,x + 3s)
Inflection point
82
59.5
62 64.5 67 Height (in inches)
69.5
72
a) What percentage of people are shorter than 67 inches?
l6+ 68= Q1.M8
