Answer to Question #117251 in Statistics and Probability for Michael

Question

Classify each one as either True or False

Q1. The total area under a probability density polygon equals 1
Q2. The total area under the relative frequency polygon equals 1 when the interval size is 1
Q3. Smaller intervals sizes always allow you to get a smoother polygon that will better represent the data
Q4. The interval size is chosen when the difference between the polygon and the histogram bars is as small as possible
Q5. The interval size does not depend on the number of data points

Answer 1

Q1. The total area under a probability density polygon equals 1. True.

Q2. The total area under the relative frequency polygon equals 1 when the interval size is 1. True.  

Q3. Smaller intervals sizes always allow you to get a smoother polygon that will better represent the data. True.

Q4. The interval size is chosen when the difference between the polygon and the histogram bars is as small as possible. False.

Q5. The interval size does not depend on the number of data points. True.