Chapter 2: Problem 32
What are the benefits of preparing a dotplot? Explain.
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Chapter 2: Problem 32
What are the benefits of preparing a dotplot? Explain.
These are the key concepts you need to understand to accurately answer the question.
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The following data give the number of text messages sent on 40 randomly selected days during 2015 by a high school student: $$ \begin{array}{llllllllll} 32 & 33 & 33 & 34 & 35 & 36 & 37 & 37 & 37 & 37 \\ 38 & 39 & 40 & 41 & 41 & 42 & 42 & 42 & 43 & 44 \\ 44 & 45 & 45 & 45 & 47 & 47 & 47 & 47 & 47 & 48 \\ 48 & 49 & 50 & 50 & 51 & 52 & 53 & 54 & 59 & 61 \end{array} $$ a. Construct a frequency distribution table. Take 32 as the lower limit of the first class and 6 as the class width. b. Calculate the relative frequency and percentage for each class. c. Construct a histogram for the frequency distribution of part a. d. On what percentage of these 40 days did this student send 44 or more text messages? e. Prepare the cumulative frequency, cumulative relative frequency, and cumulative percentage distributions.
Suppose a data set contains the ages of 135 autoworkers ranging from 20 to 53 years. a. Using Sturge's formula given in footnote 1 in section \(2.2 .2\), find an appropriate number of classes for a frequency distribution for this data set. b. Find an appropriate class width based on the number of classes in part a.
The following data give the number of orders received for a sample of 30 hours at the Timesaver Mail Order Company. \(\begin{array}{llllllllll}34 & 44 & 31 & 52 & 41 & 47 & 38 & 35 & 32 & 39 \\\ 28 & 24 & 46 & 41 & 49 & 53 & 57 & 33 & 27 & 37 \\ 30 & 27 & 45 & 38 & 34 & 46 & 36 & 30 & 47 & 50\end{array}\) Create a dotplot for these data.
The following data give the number of orders received for a sample of 30 hours at the Timesaver Mail Order Company. \(\begin{array}{llllllllll}34 & 44 & 31 & 52 & 41 & 47 & 38 & 35 & 32 & 39 \\\ 28 & 24 & 46 & 41 & 49 & 53 & 57 & 33 & 27 & 37 \\ 30 & 27 & 45 & 38 & 34 & 46 & 36 & 30 & 47 & 50\end{array}\) Prepare a stem-and-leaf display for these data.
The following data give the one-way commuting times (in minutes) from home to work for a random sample of 50 workers. $$ \begin{array}{llllllllll} 23 & 17 & 34 & 26 & 18 & 33 & 46 & 42 & 12 & 37 \\ 44 & 15 & 22 & 19 & 28 & 32 & 18 & 39 & 40 & 48 \\ 16 & 11 & 9 & 24 & 18 & 26 & 31 & 7 & 30 & 15 \\ 18 & 22 & 29 & 32 & 30 & 21 & 19 & 14 & 26 & 37 \\ 25 & 36 & 23 & 39 & 42 & 46 & 29 & 17 & 24 & 31 \end{array} $$ a. Construct a frequency distribution table using the classes \(0-9\), \(10-19,20-29,30-39\), and \(40-49 .\) b. Calculate the relative frequency and percentage for each class. c. Construct a histogram for the percentage distribution made in part b. d. What percentage of the workers in this sample commute for 30 minutes or more? e. Prepare the cumulative frequency, cumulative relative frequency, and cumulative percentage distributions using the table of part a.
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