Question

A) For a data set with 10 classes that ranges from 25 to 200, what would be an appropriate class interval?

b) For a data set with 230 observations, how many classes should you have?

c) Where would the 60th percentile be located in a data set with 120 observations? (Side Note: Sometimes The number is not a whole number. In that case, count to the position of the leading number first, then multiply the difference between that number and the next number by the decimal portion.)

for C) The number I got was 72.6 but I dont know what to do after that. its not the right answer

Answer 1

a) To determine the appropriate class interval for a dataset with 10 classes that ranges from 25 to 200, we can use the following formula:Class Interval = (Max Value - Min Value) / Number of ClassesClass Interval = (200 - 25) / 10Class Interval = 17.5Therefore, an appropriate class interval for this dataset would be 17.5.

b) To determine the number of classes for a dataset with 230 observations, we can use the following formula: Number of Classes = √(Number of Observations)Number of Classes = √(230)Number of Classes = 15.165So we should have around 15-16 classes.

c) To determine the location of the 60th percentile in a dataset with 120 observations, we can use the following formula:60th Percentile = (Percentile Rank / 100) x Number of Observations60th Percentile = (60 / 100) x 12060th Percentile = 72Therefore, the 60th percentile is located at the 72nd observation.