STAT 200. Week 2 Homework LANE, CHAPTER 2. For the data from the 1977 Stat. and Biom. 200 class for eye color, construct: a. pie graph b. horizontal bar graph c. vertical bar graph d. a frequency table with the relative frequency of each eye color 7. Which of the box plots on the graph has a large positive skew? Which has a large negative skew? 9. LANE, CHAPTER 3 You recorded the time in seconds it took for 8 participants to solve a puzzle. These times appear below. However, when the data was entered into the statistical program, the score that was supposed to be 22.1 was entered as 21.2. You had calculated the following measures of central tendency: the mean, the median, and the mean trimmed 25%. Which of these measures of central tendency will change when you correct the recording error? 6. You know the minimum, the maximum, and the 25th, 50th, and 75th percentiles of a distribution. Which of the following measures of central tendency or variability can you determine? mean, median, mode, geometric mean, range, interquartile range, variance, standard deviation 8. 30. What is the mean number of correct responses of the participants after taking the placebo? Data: 57,27,32,31,34,38,71,33,34,53,36,42,26,52,36,55,36,42,36,54,34,29,33,33 Illowsky Chapter 2 Suppose 111 people who shopped in a special t-shirt store were asked the number of t-shirts they own. Graph below shows results of this poll. 78. What is percentage of people who own three or less t-shirt?: 84. The following box plot shows the U.S. population for 1990, the latest available year. Figure 1.42 a. Are there fewer or more children (age 17 and under) than senior citizens (age 65 and over)? How do you know? b. 12.6% are age 65 and over. Approximately what percentage of the population are working age adults (above age 17 to age 65)? 88. A survey was conducted of 130 purchasers of new BMW 3 series cars, 130 purchasers of new BMW 5 series cars, and 130 purchasers of new BMW 7 series cars. In it, people were asked the age they were when they purchased their car. The following box plots display the results. a. In complete sentences, describe what the shape of each box plot implies about the distribution of the data collected for that car series. b. Which group is most likely to have an outlier? Explain how you determined that. c. Compare the three box plots. What do they imply about the age of purchasing a BMW from the series when compared to each other? d. Look at the BMW 5 series. Which quarter has the smallest spread of data? What is the spread? e. Look at the BMW 5 series. Which quarter has the largest spread of data? What is the spread? f. Look at the BMW 5 series. Estimate the interquartile range (IQR). g. Look at the BMW 5 series. Are there more data in the interval 31 to 38 or in the interval 45 to 55? How do you know this? h. Look at the BMW 5 series. Which interval has the fewest data in it? How do you know this? 31-35 38-41 41-64