The data to the right represent the number of customers...

The data to the right represent the number of customers waiting for a table at 6:00P.M. for 40 consecutive Saturdays at Bobak's Restaurant. Complete parts (a) through (h) below. (a) Are these data discrete or continuous? Explain. A. The data are discrete because there are a finite or countable number of values. B. The data are discrete because it was recorded for 40 consecutive Saturdays. C. The data are continuous because it was recorded for 40 consecutive Saturdays. D. The data are continuous because there are a finite or countable number of values. (b) Construct a frequency distribution of the data. Number of Customers Frequency 1-3 4-6 7-9 10-12 13-15 12 11 7 8 13 7 7 5 15 13 5 11 4 12 7 12 12 12 10 3 8 10 10 11 14 13 14 6 10 8 9 12 9 12 10 11 8 10 12 8

Transcript

00:01 In this problem, we have been given some data which represents the number of customers waiting for a certain table for 40 consecutive saturdays at a restaurant.

00:12 So the data is given over here.

00:16 Now, the first question is, is this data discrete or continuous? now, the answer to this will be that data is discrete because there are a finite or countable number of values.

00:34 Discrete data has a countable number of values.

00:37 It's either finite or infinite, but countable, countably infinite.

00:42 And for continuous data, we have uncountably many values.

00:47 So in this case, we only have 40 values.

00:49 That's finite, which is countable, and thus it is discrete.

00:53 So the correct answer for this one is option a.

00:57 And next, we have been asked to construct a frequency distribution of the data.

01:04 So here we have the number of customers, and here we have the frequency.

01:14 Now, we have been given the classes as 1 to 3, 4 to 6, 7 to 9, 10 to 12, and 13 to 15.

01:29 So let us consider the frequencies.

01:32 So first of all, we have 1 to 3.

01:34 So if we look at the data, we can see that in that range, we only have this number three.

01:39 So that's the only number falling within that range.

01:42 So the frequency is going to be one.

01:45 The next class is four to six.

01:47 So let us see how many numbers fall within that range.

01:51 So within the range of four to six, we can see we have these two fives over here and these two fours over here.

01:58 So that's a total of four values.

02:00 So the frequency for this class will be four.

02:05 The next class is 7 to 9.

02:08 So let us see which values fall within that range.

02:13 So from 7 to 9.

02:15 So we can see that this number falls within that range...

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