A frequency distribution is a data representation technique that shows the number of occurrences (frequency) of different items in a dataset.
This approach is used to organize data in a methodical and easy-to-read manner. The frequency table that is given here displays the number of occurrences of the items given.In the provided frequency table, the class size of each class will be determined.
Class size refers to the total number of values that fall within a given range. The formula to calculate the class size is: Class size = Upper class limit - Lower class limit- The class size of each class will be calculated as follows:Income (in millions)
Frequency Class size9-18 12 18-9=919-28 9 28-19=929-48 7 48-29=1939-48 8 48-39=959-58 7 58-49=1059-68 7 68-59=9Thus, the class size of each class in the given frequency table is 9, 10, 19, 10, 10, and 9 respectively.Therefore, the main answer is: D) 10Answer more than 100 words:In statistics, a frequency distribution is a technique of representing data which involves showing the number of times a certain value occurs in a given set of data. A frequency table is a visual representation of this data. In the table above, the frequency distribution of income is given.Each value range is referred to as a class in a frequency distribution. The class size, on the other hand, is defined as the range of values in a given class. The lower limit and the upper limit of a class are used to calculate the class size. The difference between the upper and lower limits of a given class will result in the class size.Therefore, the following formulas are used to calculate class size:Class size = Upper class limit – Lower class limitUsing the given frequency distribution table, we can determine the class size for each class as follows:Income (in millions) Frequency Class size9-18 12 18 – 9 = 919-28 9 28 – 19 = 929-48 7 48 – 29 = 1939-48 8 48 – 39 = 959-58 7 58 – 49 = 1059-68 7 68 – 59 = 9Therefore, the class size of each class in the given frequency distribution table is 9, 10, 19, 10, 10, and 9, respectively. In conclusion, option D, 10, is the correct answer.