A salesperson makes a five percent commission on every sale she makes. Her daily sales in dollars) for the past 16 working days
were: 28 49 50 34 33 44 35 25 29 30 35 34 32 40 78 39. a) Find the 5 number summary and P30 b) Find the values of the standard deviation, range, and interquartile range (IQR). c) Are there any outliers? Explain!.
a. The five-number summary is made up of the following summary means:
1. Minimum: 25
2. First Quartile: 30.5
3. Medium: 34.5
4. Third quartile: 43
5. Maximum: 78
6. P30: 32.1
b.
Standard Deviation: 12.72
Rank: 53
Interquartile range: 12.5
C. The interquartile range is 12.5 and 1.5 times the interquartile range is (1.5) (12.5) = 18.75. Third quartile plus 1.5 times the interquartile range is 61.75. The value of 78 exceeds 61.75, then 78 is an outlier.
