Question

Construct a frequency distribution for the given data set using 6 classes. In the​ table, include the​ midpoints, relative​ frequencies, and cumulative frequencies. Which class has the greatest frequency and which has the least​ frequency? Amount (in dollars) spent on books for a semester 524 56 388 225 468 545 213 117 441 405 429 419 481 263 197 145 167 357 50 357 191 204 410 109 473 311 89 88 117 Complete the​ table, starting with the lowest class limit. Use the minimum data entry as the lower limit of the first class. ​(Type integers or decimals. Round the class limits to the nearest whole number. Round all other values to the nearest thousandth as​ needed.) Class Frequency Midpoint Relative Frequency Cumulative Frequency nothing​- nothing nothing nothing nothing nothing nothing​- nothing nothing nothing nothing nothing nothing​- nothing nothing nothing nothing nothing nothing​- nothing nothing nothing nothing nothing nothing​- nothing nothing nothing nothing nothing nothing​- nothing nothing nothing nothing nothing Which class has the greatest​ frequency? The class with the greatest frequency is from nothing to nothing. Which class has the least​ frequency? The class with the least frequency is from nothing to nothing. Enter your answer in each of the answer boxes.

Answer 1

First,arrange the data in ascending order

50,56,88,89,109,117,117,145,167,191,197,204,213,225,263,311,357,388,405,410,419,429,441,468,473,481,524,545

minimum = 50, maximum = 545

Choose class intervals starting from 40 up to 550. For 6 classes, we have to take each interval of 550-40 / 6 = 85

Consider the table below:

Class	Frequency	Midpoint	Relative freq.	Cumulative freq.
40-124	7	82	7/29	7/29
125-209	5	167	5/29	12/29
210-294	3	252	3/29	15/29
295-379	3	337	3/29	18/29
380-464	6	422	6/29	24/29
465-549	5	507	5/29	29/29

Frequency is number of points between lying in the class interval.

Midpoint is middle value of class interval given by (lower class limit + upper class limit)/2 . For ex - in first class it is given by (40+124)/2 = 82

Relative frequency is given by the frequency of that class divided by total number of points.

Cumulative frequency is the sum of all relative frequency up to the class we are looking at.

Now we can answer the questions given.

Class with greatest frequency is 40-124

Class with greatest frequency is from 40 to 124

Class with least frequency is 210-294 and 295-379

Class with least frequency is from 210 to 294 and 295 to 379