Homework: pg. 74 #27, 29-32 27.) A. 85 B. 79.33; the mean is sensitive to outliers. C. 7 4 7 568 8 024 8 67 9 013 9 68

29.) $30 million. No, because you cannot determine the sum of all 25 salaries. 30.) The mean salary is $60,000. Seven of the eight employees earned less than the mean. The median is $22,000. An unethical recruiter would report the mean salary as the “typical” or “average” salary. 31.) The mean is $59,067, and the median is $43,318. The large salaries in the right tail will pull the mean upward.

C. His typical number of home runs is 37; 2001 is very unusual. 32.) A. Mean: 37.0, Median: 37.0 B. 1 69 4 2 55 3 3344 77 4 02 4 55669 5 6 7 3 C. His typical number of home runs is 37; 2001 is very unusual.

1.2 Boxplots, Quartiles, and 5 Number Summary

Quartiles range—highest – lowest quartiles—splits that data into quarters 1st Quartile—25th percentile 2nd Quartile—50th percentile (median) 3rd Quartile—75th percentile 1st Quartile—median of left side of data 3rd Quartile—median of right side of data

5 Number Summary 25% 25% Min Q1 Median Q3 Max 25% 25% 1st Quartile 3rd Quartile

Interquartile Range interquartile range (IQR)—measures the spread of the middle 50% of the data. Find by: Q3—Q1 Outliers—a # is considered an outlier if it falls 1.5*IQR above Q3 or below Q1 Any value outside of the range: (Q1 – 1.5IQR, Q3 + 1.5IQR) is considered an outlier

Snapchat/Instagram Data Find the 5 # Summary and the IQR for the data. Are there any outliers?

Boxplot Max Min Median EVEN SCALE BELOW BOXPLOT

Modified Boxplot EVEN SCALE BELOW BOXPLOT Min outliers Median Largest number NOT an outlier EVEN SCALE BELOW BOXPLOT

Snapchat Data Make a modified boxplot by hand.

Snapchat Data Make a modified boxplot using the calculator.

Which of the following matches the previous histograms?

HW: pg 82 #33, 35, 36, 38