r table, and summarize 28 CHAPTER 1 Looking at Data-Distributions (b) Carefully

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r table, and summarize 28 CHAPTER 1 Looking at Data-Distributions (b) Carefully examine 1.40 Facebook users by region. The following table gives the numbers of Facebook users by region of the world as of November 2012.FACER hows. Are there any extreme outliers? Which W You can list you classify in this way? (c) Use a stemplot to describe these data. Y any extreme outliers separately from the plot, these data using your Facebook users (in millions) 20 Fa (d) Describe the major features of these da millions) plot and your list of outliers Middle East (e) How effective is the stemplot for su data? Give reasons for your answer you constructa () Explain why the values in the table that are not the same as the percents of the in part (a) lation in each region who are users 1.42 Sketch a skewed distribution. Sketch a hist for a distribution that is skewed to the left. Suppo coins and recorded the year marked on each coin. The distribution of dates would be skewed to the left. that you and your friends emptied your pockets of a) Use a bar graph to describe these data. b) Describe the major features of your graph in a short xplain why aragraph 1.43 Grades and self-concept. Table 1.3 presents on 78 seventh-grade students in a rural midwestern school.19 The researcher was interested in the relation- ship between the students' "self-concept" and their aca- demic performance. The data we give here include each student's grade point average (GPA), score on a standard IO test, and gender, taken from school records. Gender is coded as F for female and M for male. The students are identified only by an observation number (OBS) The missing OBS numbers show that some students dropped out of the study. The final variable is each student's score on the Piers-Harris Children's Self-Concept Scale, a psychological test administered 41 Facebook ratios. One way to compare the num ers of Facebook users for different regions of the - orld is to take into account the populations of these gions. The market penetration for a product is the umber of users divided by the number of potential ers, expressed as a percent. For Facebook, we use e population as the number of potential users. Here e estimates of the populations in 2012 of the same ographic regions that we studied in the previous ercise: FACER gion (in millions) Region Population millions) by the researcher. SEVENGR Middle East (a) How many variables does this data set contain? Which are categorical variables and which are quantita- tive variables? ibbean 39 ust 36 (b) Make a stemplot of the distribution of GPA, after rounding to the nearest tenth of a point (c) Describe the shape, center, and spread of the GPA distribution. Identify any suspected outliers from the Compute the market penetration for each regiorn ividing the number of users from the previous e by the population size given in this exercise iply these ratios by 100 to make the ratios similar rcents, and make a table of the results. Use the in this table to answer the remaining parts o (d) Make a back-to-back stemplot of the rounded GP for female and male students. Write a brief compar of the two distributions. 1.44 Describe the 10 scores. Make a graph of th distribution of IQ scores for the seventh-grade studen in Table 1.3. Describe the shape, center, and spread xercise

Explanation / Answer

there are very few coins with earlier years and hence data is skewed to left

stem and leaf plot:

Stem-and-Leaf Display Stem unit: 1 1987 0 0 2000 0 2010 0 0 2011 0 0 2012 0 0 0 0 0 2013 0 2014 0 0 2015 0 0 0 0 0 0 0 0 2016 0 0

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