2. Describing Data with Tables and Graphs

Which of the following is least likely to be used as a criterion when choosing the number of bins ($n$ classes) in a frequency distribution?

In frequency distributions, class width is found by $?$.

Which of the following best describes a frequency distribution that is skewed to the right?

Why is it generally recommended that the number of classes in a frequency distribution be between $5$ and $20$?

Given the following frequency distribution for exam scores: $50-59$: $3$ students, $60-69$: $5$ students, $70-79$: $8$ students, $80-89$: $4$ students, which of the following represents the correct cumulative frequency for the class interval $70-79$?

Which of the following best describes the difference between $relative frequency$ and $cumulative frequency$ in a frequency distribution?

Why is it generally recommended that the number of classes in a frequency distribution be between $5$ and $20$?

In a relative frequency distribution, what does each $f/n$ (relative frequency) represent?

"Use the Internet? The Gallup organization conducted a survey in which 1025 randomly sampled adult Americans were asked, “How much time, if at all, do you personally spend using the Internet—more than 1 hour a day, up to 1 hour a day, a few times a week, a few times a month or less, or never?” The results of the survey were as follows:

a. Construct a relative frequency distribution."

"Online Shopping A random sample of college students was asked, “What social platform most influences your online shopping?” Results are shown below.

b. Construct a relative frequency distribution for females."

In Exercises 23 and 24, construct the relative frequency distributions and answer the given questions.

Oscar Winners Construct one table (similar to Table 2-5) that includes relative frequencies based on the frequency distributions from Exercises 5 and 6, and then compare the ages of Oscar-winning actresses and actors. Are there notable differences?

Use the Internet? The Gallup organization conducted a survey in which 1025 randomly sampled adult Americans were asked, “How much time, if at all, do you personally spend using the Internet—more than 1 hour a day, up to 1 hour a day, a few times a week, a few times a month or less, or never?” The results of the survey were as follows:

b. What proportion of those surveyed never use the Internet?

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.

7.

Matching In Exercises 13–16, match the distribution with one of the graphs in Exercises 9–12. Justify your decision.

The frequency distribution of mileages of service vehicles at a business where a few vehicles have much higher mileages than the majority of vehicles

Made in America In a recent Harris Poll, a random sample of adult Americans (18 years and older) was asked, “When you see an ad emphasizing that a product is ‘Made in America,’ are you more likely to buy it, less likely to buy it, or neither more nor less likely to buy it?” The results of the survey, by age group, are presented in the contingency table below.

a. How many adult Americans participated in the survey? How many of them were age 55 or older?

b. Create a relative frequency marginal distribution.