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/Student/PlayerHomework.aspx?homeworkId=677956305&questionId=1&flushed=false&cid=7903990&back=DoAssignments.aspx...? ? Finish update: All Bookmarks Adan Longoria HW Score: 57.78%, 8.67 of 15 points Points: 0 of 1 Save mency Distributions and Question 10, 2.1.30 Part 2 of 8 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 291 96 485 500 278 524 232 323 212 290 276 258 218 279 436 396 292 347 40 407 362 74 450 286 301 523 44 327 145 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 40 - 120 Frequency 4 Midpoint 80 Relative Frequency 0.138 Cumulative Frequency 4

Transcript

00:01 All right, for this problem, the first thing that we need to do is determine the range of the data.

00:08 We can see that the, and one thing i've done ahead of time here, i've just sorted the data, so we can see that the maximum value is 516, the minimum value is 40.

00:20 So finding the range, 516 minus 40 gives a result of 476.

00:28 Can see that we have six bins overall, therefore we should have that the class width is going to be 476 over six, which gives us a result of, let's see here, 476 over six, 79 .3 repeating.

00:45 Now we're going to want to round this up actually to a value of 80.

00:52 And i'll exemplify that here.

00:54 So we can see what i've done here is i've gone through and calculated what would be the lower limit for each one of the classes.

01:01 So we have first class, second, third, fourth, fifth, sixth, and then the seventh class would be starting at 520.

01:09 If we had the, if we rounded down to 79, then we would actually need seven classes in order to actually cover all of the data.

01:20 So we would round this to 80 to be able, or to allow us to actually accommodate all of the data in the table that we have.

01:29 So we have our classes, the frequencies, the midpoints, the relative frequencies, and the cumulative frequencies.

01:37 So the first class we start with a lower limit equal to the smallest value, which is 40.

01:44 So then we have 42.

01:46 Now i'll note here, let's see here.

01:49 Yeah, it says round class limits to the nearest whole number.

01:53 I'll note explicitly that i write class limits as endpoint inclusive.

02:01 So for instance, i would write 40 to 119, then 120 up to 199, and so on.

02:12 So there's no ambiguity.

02:14 Some some classes or some textbooks will use inclusive bounds or one end inclusive, in which case you would write, for instance, 40.

02:24 Pardon me, it's basically greater than or equal to 40, strictly less than not 200.

02:30 Pardon me, strictly less than 120, and then greater than or equal to 120, strictly less than 200, and so on.

02:37 But as i said, i write endpoint inclusive.

02:41 Just make sure that you are following the expectations for your class.

02:46 I can't tell you what the expectation is because i'm not in your class.

02:51 That being said, we fill out all of our class boundaries...

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