Question

3.26

c. Based on the histograms from Parts (a) and (b). write a few sentences commenting on the simi- larities and differences in the distribution of SAT critical reading scores formales and females Relative Frequency for Females 43.4 Country Australia Austria Canada Colombia Costa Rica Czech Republic Denmark Finland France Germany Greece Hungary Iceland Israel Percentage of people age 25 to 34 with 4.sear degree 49.3 39.7 60.6 28.1 28.9 32.6 45.9 41.1 44.0 30.5 41.0 30.4 43.3 47.4 Percentage of people age 25 to 34 with 4-year Country degree Italy 256 Japan 60.1 Mexico 21.8 New Zealand Norway 48.6 Poland 43.5 Portugal 35.0 Spain 41.0 Sweden 47.2 Switzerland 48.8 Turkey 30.5 United 52.0 Kingdom United States 47.5 Score on SAT Critical Reading Exam 200 to 300 300 to 400 400 to < 500 500 to 600 600 to < 700 700 to < 800 Relative Frequency for Males 0.049 0.151 0108 0.285 0.155 0,038 0.156 0.332 0.286 0.144 0.044 0.052 3.27 . The data in the accompanying table represents the percentage of workers who are members of a union for each U.S. state and the District of Columbia (AARP Bulletin, September 2009). a. Construct a histogram of these data using the class intervals 20 to <30, 30 to <40,..., 60 10 < 70. (Hint: See Example 3.16.) b. Write a few sentences describing the shape, cen- ter, and variability of the distribution. 3.25. The accompanying data on annual maximum wind speed (in meters per second) in Hong Kong for each year in a 45-year period were given in an article that appeared in the journal Renewable Energy (March, 2007) 30.3 39.0 33.9 38.6 44.6 31.4 26.7 51.9 31.9 27.2 529 45.8 63.3 36.0 640 31.4 422 41.1 37.0 34.4 35.5 62.2 30.3 40,0 36,0 39.4 34.4 28.3 39.1 55.0 35.0 28.8 25.7 62.7 324 31.9 37.5 31.5 32.0 35.5 37.5 41.0 37.5 48.6 28.1 of Workers who Belong State to a Union Nebraska Nevada 16.7 New Hampshire 3.5 New Jersey New Mexico 10.6 New York 183 North Carolina North Dakota 24.9 Ohio Oklahoma 6.6 Oregon Pennsylvania 15.4 Rhode Island 16.5 South Carolina South Dakota Tennessee Texas Utah 142 of Workers who Belong State to a Union Alabama 9.8 Alaska 23.5 Arizona 8.8 Arkansas 5.9 Califomia 18.4 Colorado 8.0 Connecticut 16.9 Delaware 122 District of Columbia 13.4 Florida 6.4 Georgia 3.7 Hawaii 243 Idaho Illinois 16.6 India 124 lowa 106 Kansas Kentucky 86 Louisiana 4.6 Maine 123 Maryland 15.7 Massachusetts 12.6 Michigan 18.8 Minnesota 16.1 Mississippi 5.3 Missouri 11.2 Montana 12.2 16.6 7.1 7.0 Vermont a. Use the annual maximum wind speed data to construct a histogram. b. Is the histogram approximately symmetric, posi- tively skewed, or negatively skewed? c. Would you describe the histogram as unimodal, bimodal, or multimodal? 3.26 . The accompanying relative frequency table is based on data from the 2016 College Bound Seniors Report (collegeboard.org, retrieved February 18, 2018). a. Construct a relative frequency histogram for SAT critical reading score for males. b. Construct a relative frequency histogram for SAT critical reading score for females. 10.4 Virginia Washington West Virginia Wisconsin Wyoming 15.0 7.7

Answer 1

3.26

a)

Relative frequency histogram Relative frequency for males 200-300 700-800 300-400 400-500 500-600 600-700 SAT critical reading score for males

b)

Relative frequency histogram (females) Relative frequency for females 200-300 700-800 300-400 400-500 500-600 600-700 SAT critical reading score for females

For all the histogram , the highest frequency is found in the third class.

Both the relative frequency histogram for males and females tend to normal while the other histogram does not form normal.

c)

Histogram for previous question 3.24

Histogram Frequency 20-30 30-40 50-60 60-70 40-50 Class interval