Freshman 15 Refer to Data Set 13 “Freshman 15” and use the second column, which lists weights (kg) in September of college freshmen. Begin with a lower class limit of 40 kg and use a class width of 10 kg. Does the distribution appear to be a normal distribution?
2. Describing Data with Tables and Graphs
Frequency Distributions
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Analysis of Last Digits Weights of respondents were recorded as part of the California Health Interview Survey. The last digits of weights from 50 randomly selected respondents are listed below. Construct a frequency distribution with 10 classes. Based on the distribution, do the weights appear to be reported or actually measured? Does there appear to be a gap in the frequencies and, if so, how might that gap be explained? What do you know about the accuracy of the results?
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Births Natural births randomly selected from four hospitals in New York State occurred on the days of the week (in the order of Monday through Sunday) with these frequencies: 52, 66, 72, 57, 57, 43, 53. Does it appear that such births occur on the days of the week with equal frequency?
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What is the difference between class limits and class boundaries?
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Constructing a Frequency Distribution and a Relative Frequency Histogram In Exercises 37–40, construct a frequency distribution and a relative frequency histogram for the data set using five classes. Which class has the greatest relative frequency and which has the least relative frequency?
Taste Test
Data set: Ratings from 1 (lowest) to 10 (highest) provided by 36 people after taste-testing a new flavor of protein bar 2 6 9 2 9 9 6 10 5 8 7 6 5 10 1 4 9 3 4 5 3 6 5 2 4 9 2 9 3 3 6 5 1 9 4 2
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Use the frequency distribution below to find the class width and class midpoints.
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The categories by which data are grouped are called ________.
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In Exercises 5–8, identify the class width, class midpoints, and class boundaries for the given frequency distribution. Also identify the number of individuals included in the summary. The frequency distributions are based on real data from Appendix B.
8.
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College Survey In a national survey conducted by the Centers for Disease Control to determine health-risk behaviors among college students, college students were asked, “How often do you wear a seat belt when driving a car?” The frequencies were as follows:
a. Construct a relative frequency distribution.
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Use the ogive to approximate
the height for which the cumulative frequency is 15.
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use the frequency distribution to find the (a) class width, (b) class midpoints, and (c) class boundaries.
Toledo, OH, Average Normal Temperatures (F)
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Boston Commute Time The accompanying table summarizes daily commute times in Boston. How many commute times are included in the summary? Is it possible to identify the exact values of all of the original data amounts?
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Tornado Alley Refer to the accompanying frequency distribution that summarizes the number of tornadoes in Oklahoma in each year for the past several years. What is the class width? Is it possible to identify the original data values?
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[DATA] Putting It Together: Red Light Cameras Chicago has installed cameras at various intersections throughout the city. The camera photographs the license plate of any car engaging in a moving violation (such as driving through a red light or failure to completely stop prior to turning on red). Open the data set 2_2_35, which represents the number of violations recorded by all cameras on October 17, 2018. The data set is located at www.pearsonhighered.com/sullivanstats.
f. Were there any cameras that did not record any violations on October 17, 2018? If so, how many?
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"College Survey In a national survey conducted by the Centers for Disease Control to determine health-risk behaviors among college students, college students were asked, “How often do you wear a seat belt when driving a car?” The frequencies were as follows:
d. Construct a frequency bar graph."