Question

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!.

Answer 1

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.