Use the Empirical Rule to answer each question. 2. In a normal distribution, what percent of the data lie a. within 2 standard deviation of the mean? b. more than 1 standard deviation above the mean? C. between 1 standard deviation below the mean and 2 standard deviations about the mean?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 26PFA
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Use the Empirical Rule to answer each question.
2. In a normal distribution, what percent of the data lie
a. within 2 standard deviation of the mean?
more than 1 standard deviation above the mean?
between 1 standard deviation below the mean and 2 standard deviations about the mean?
b.
с.
3. A biologist found the wingspan of a group of monarch butterflies to be normally distributed, with
a mean of 52.2 mm and a standard deviation of 2.3 mm. What percent of the butterflies had a
wingspan
less than 219?
b. between 190 and 225?
a.
4. Given the bivariate data:
1
3
7
3
2
Draw a scatter diagram for the data.
b. Find a, the slope of the least-squares line, and b, the y-intercepts of the least-squares line.
c. Find, to the nearest hundredth, the linear correlation coefficient.
a.
164
Transcribed Image Text:Use the Empirical Rule to answer each question. 2. In a normal distribution, what percent of the data lie a. within 2 standard deviation of the mean? more than 1 standard deviation above the mean? between 1 standard deviation below the mean and 2 standard deviations about the mean? b. с. 3. A biologist found the wingspan of a group of monarch butterflies to be normally distributed, with a mean of 52.2 mm and a standard deviation of 2.3 mm. What percent of the butterflies had a wingspan less than 219? b. between 190 and 225? a. 4. Given the bivariate data: 1 3 7 3 2 Draw a scatter diagram for the data. b. Find a, the slope of the least-squares line, and b, the y-intercepts of the least-squares line. c. Find, to the nearest hundredth, the linear correlation coefficient. a. 164
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