91Ó°ÊÓ

The height in feet of $25$ trees is shown below (lowest to highest). $25,27,33,34,34,34,35,37,37,38,39,39,39,40,41,45,46,47,49,50,50,53,53,54,54$

Use the two frequency tables to compare the life expectancy of men and women from $20$randomly selected countries. Include an overlayed frequency polygon and discuss the shapes of the distributions, the center, the spread, and any outliers. What can we conclude about the life expectancy of women compared to men?

Construct a times series graph for

(a) the number of male births,

(b) the number of female births, and

(c) the total number of births.

Construct a frequency polygon of U.S. Presidents’ ages at inauguration shown in Table $2.15$.

Chapter $2$| Descriptive Statistics $83$

Frequency polygons are useful for comparing distributions. This is achieved by overlaying the frequency polygons drawn for different data sets.

For the following $11$salaries, calculate the IQR and determine if any salaries are outliers. The salaries are in

dollars.
role="math" localid="1647875427889" $\backslash (33,000;\backslash )64,500;\backslash (28,000;\backslash )54,000;\backslash (72,000;\backslash )68,500;\backslash (69,000;\backslash )42,000;\backslash (54,000;\backslash )120,000;\$40,500$

Find the interquartile range for the following two data sets and compare them.

Test Scores for Class A

$69;96;81;79;65;76;83;99;89;67;90;77;85;98;66;91;77;69;80;94$

Test Scores for Class B

$90;72;80;92;90;97;92;75;79;68;70;80;99;95;78;73;71;68;95;100$

Listed are 30 ages for Academy Award winning best actors in order from smallest to largest. 18; 21; 22; 25; 26; 27; 29; 30; 31, 31; 33; 36; 37; 41; 42; 47; 52; 55; 57; 58; 62; 64; 67; 69; 71; 72; 73; 74; 76; 77 Find the percentiles for 47 and 31.

For the $100$-meter dash, the third quartile for times for finishing the race was $11.5$seconds. Interpret the third quartile in the context of the situation.

The following data sets list full time police per $100,000$citizens along with homicides per $100,000$citizens for the city of Detroit, Michigan during the period from $1961to1973.$

a. Construct a double time series graph using a common x-axis for both sets of data.

b. Which variable increased the fastest? Explain.

c. Did Detroit’s increase in police officers have an impact on the murder rate? Explain.

The following data show the distances (in miles) from the homes of off-campus statistics students to the college. Create a stem plot using the data and identify any outliers:

$0.5;0.7;1.1;1.2;1.2;1.3;1.3;1.5;1.5;1.7;1.7;1.8;1.9;2.0;2.2;2.5;2.6;2.8;2.8;2.8;3.5;3.8;4.4;4.8;4.9;5.2;5.5;5.7;5.8;8.0$