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The following table shows the distribution of scores on the SAT Mathematics test for 2011 college-bound seniors. Score 700-800 600-690 500-590 400-490 Number of Students 111,893 304,037 481,170 498,944 Proportion of Students 0.0679 0.1846 0.2921 0.3029

The following table shows the distribution of scores on the SAT Mathematics test for 2011 college-bound seniors. Score 700-800 600-690 500-590 400-490 Number of Students 111,893 304,037 481,170 498,944 Proportion of Students 0.0679 0.1846 0.2921 0.3029

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 7E
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4 The following table shows the distribution of scores on the SAT Mathematics test for 2011 college-bound seniors. Number of Students 111,893 304,037 481,170 498,944 210,645 40,434 Total 1,647,123 1.0000 Source: 2011 College-Bound Seniors Total Group Report, College Board, professionals.collegeboard.com/profdownload/cbs2011_total_group_report.pdf a. What are the two missing numbers in the third column of this table? b. Suppose that you take a random sample of 1,000 scores from this population of SAT Mathematics scores. What is the expected number of scores in the category 700-800? In the category 400-490? Proportion of Students 0.0679 Score 700-800 600-690 500-590 400-490 300-390 200-290 0.1846 0.2921 0.3029 c. Make a stacked bar graph (percent on the vertical axis) to compare this distribution with the distribution of SAT Critical Reading scores in Applications Task 3. d. Are the two populations homogeneous? Explain why or why not.
Transcribed Image Text:4 The following table shows the distribution of scores on the SAT Mathematics test for 2011 college-bound seniors. Number of Students 111,893 304,037 481,170 498,944 210,645 40,434 Total 1,647,123 1.0000 Source: 2011 College-Bound Seniors Total Group Report, College Board, professionals.collegeboard.com/profdownload/cbs2011_total_group_report.pdf a. What are the two missing numbers in the third column of this table? b. Suppose that you take a random sample of 1,000 scores from this population of SAT Mathematics scores. What is the expected number of scores in the category 700-800? In the category 400-490? Proportion of Students 0.0679 Score 700-800 600-690 500-590 400-490 300-390 200-290 0.1846 0.2921 0.3029 c. Make a stacked bar graph (percent on the vertical axis) to compare this distribution with the distribution of SAT Critical Reading scores in Applications Task 3. d. Are the two populations homogeneous? Explain why or why not.
3. The table below shows the ages of the male and female actors who got regular roles in pilot shows for new television series, for those actors whose age could be determined (which was all but 8 males and 5 females). Age 0-9 13 10-19 31 20-29 73 30-39 116 40-49 52 50-59 33 60 and over 13 Total 331 Source: James J. Jones, The 2011 Pilot Report, Premier Talent Group, f.d.ly/items/3q1v2Z1W0Z3N19003839/PTG-2011-Pilot-Report.pdf Number of Actors Percent 300 200 100 Number of Males 0 100% 80% 60% 40% 20% 0% a. The following two bar graphs show the distribution of ages. Which graph better shows which group (males or females) got more regular roles in pilot shows? Describe this difference between the groups. 400 Number of Females Male Male 7 25899 88 21 19 10 269 Female Female 10-9 10-19 20-29 30-39 40-49 50-59 60 and Over 0-9 10-19 20-29 30-39 40-49 50-59 60 and Over b. Are the two groups homogeneous? If so, explain why. If not, explain how they differ.
Transcribed Image Text:3. The table below shows the ages of the male and female actors who got regular roles in pilot shows for new television series, for those actors whose age could be determined (which was all but 8 males and 5 females). Age 0-9 13 10-19 31 20-29 73 30-39 116 40-49 52 50-59 33 60 and over 13 Total 331 Source: James J. Jones, The 2011 Pilot Report, Premier Talent Group, f.d.ly/items/3q1v2Z1W0Z3N19003839/PTG-2011-Pilot-Report.pdf Number of Actors Percent 300 200 100 Number of Males 0 100% 80% 60% 40% 20% 0% a. The following two bar graphs show the distribution of ages. Which graph better shows which group (males or females) got more regular roles in pilot shows? Describe this difference between the groups. 400 Number of Females Male Male 7 25899 88 21 19 10 269 Female Female 10-9 10-19 20-29 30-39 40-49 50-59 60 and Over 0-9 10-19 20-29 30-39 40-49 50-59 60 and Over b. Are the two groups homogeneous? If so, explain why. If not, explain how they differ.
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