Question

The data set lists the out of pocket prescription medicine expenses (in dollars) for 30 U.S. adults in a recent year. Construct a frequency distribution that has seven classes.

200 239 155 252 384 165 296 405 303 400

307 241 256 315 330 317 352 266 276 345

238 306 290 271 345 312 293 195 168 342

1. Construct a frequency distribution including limits, midpoints, relative frequencies, cumulative frequencies, and boundaries

Answer 1

Lowest number= 155

Highest number=405

Number of class= 7

Therefore,

Class width = (highest - lowest) / Number of class = (405 - 155) / 7 = 35.71 approximate 36

Mid point = (lower class + upper class) / 2

Class	Frequency	Mid point	Class Boundry	Cumulative Frequency	Relative frequency
155 - 191	3	173	154.5 - 191.5	3	3 /30 =0.10
192 - 228	2	210	191.5 - 228.5	3+2=5	2/30=0.07
229 - 265	5	247	228.5 - 265.5	5+5=10	5/30=0.17
266 - 302	6	284	265.5 - 302.5	10+6=16	6/30=0.20
303 - 339	7	321	302.5 - 339.5	16+7=23	7/30=0.23
340 - 376	4	358	339.5 - 376.5	23+4=27	4/30=0.13
377 - 413	3	395	376.5 - 413.5	27+3=30	3/30=0.10
Total	30				1.00