Q:

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!.

Accepted Solution

A:
Answer:Step-by-step explanation: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.