Answered: Consider a sample of payment times (in…

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter5: A Survey Of Other Common Functions

Section5.3: Modeling Data With Power Functions

Problem 6E: Urban Travel Times Population of cities and driving times are related, as shown in the accompanying...

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QUESTION 22
Consider a sample of payment times (in days) for 30 randomly selected invoices
22 29 16 15 18 17
19 17 10 21 15 14
36 35 46 20 42 34
18 23 22 35 36 19
13 28 17 15 24 30
(a) Use the above data and determine the frequency using the below frequency distribution.
Classes Frequency
Less than 15
15 < 20
20 < 25
25 < 30
30 < 35
35 < 40
At least 40
(3)
(b) Construct a stem-and-leaf plot and describe the shape of the sample data (payment times).
(2)
(c) Determine the modal class from the frequency distribution calculated in (a). (2)
(d) Using the ungrouped data given in the selected random sample, calculate the mean, median
and the mode. (6)
[13]

Definition Definition Measure of central tendency that is the value that occurs most frequently in a data set. A data set may have more than one mode if multiple categories repeat an equal number of times. For example, in a data set with five item—3, 5, 5, 29, 473—the mode is 5 because it occurs twice and no other value occurs more than once. On a histogram or bar chart, the element with the highest bar represents the mode. Therefore, the mode is sometimes considered the most popular option. The mode is useful for nominal or categorical data (e.g., the most common color car that users purchase), but it is problematic for continuous data because it is more likely not to have any value that is more frequent than the other.

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