Use the following information to answer the next nine exercises: The population parameters below describe the full-time equivalent number of students (FTES) each year at Lake Tahoe Community College from 1976–1977 through 2004–2005.
• μ = 1000 FTES
• median = 1,014 FTES
• σ = 474 FTES
• first quartile = 528.5 FTES
• third quartile = 1,447.5 FTES
• n = 29 years
What additional information is needed to construct a box plot for the FTES for 2005-2006 through 2010-2011 and a box plot for the FTES for 1976-1977 through 2004-2005?
To create the box plots, we need to know the minimum and maximum FTES for 2005-2006 through 2010-2011, as well as the minimum and maximum FTES for 1976-1977 through 2004-2005.
What additional information is needed to construct a box plot for the FTES for 2005-2006 through 2010-2011 and a box plot for the FTES for 1976-1977 through 2004-2005.
Box plots are a graphical tool used in statistics to show the concentration of data. They also show how far the extreme numbers differ from the majority of the data. The smallest value, the first quartile, the median, the third quartile, and the maximum value are used to create a box plot.
Use a horizontal or vertical number line and a rectangular box to make a box plot. The axis's ends are labelled by the smallest and largest data values. One end of the box is marked by the first quartile, while the other end is marked by the third quartile. 50 percent of the data is included within the box. From the box's ends to the smallest and greatest data values, the "whiskers" extend. The median or second quartile can be in the middle of the first and third quartiles, or it can be either one or the other.
For the two datasets stated above, we know the median, first quartile, and third quartile. As a result, for both of these data sets, the additional information required to construct the box plots is the minimum and maximum.
In a survey of 20-year-olds in China, Germany, and the United States, people were asked the number of foreign countries they had visited in their lifetime. 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.
b. Have more Americans or more Germans surveyed been to over eight foreign countries?
c. Compare the three box plots. What do they imply about the foreign travel of 20-year-old residents of the three countries when compared to each other
The University of California has two criteria used to set admission standards for freshmen to be admitted to a college in the UC system:
a. Students' GPAs and scores on standardized tests (SATs and ACTs) are entered into a formula that calculates an "admissions index" score. The admissions index score is used to set eligibility standards intended to meet the goal of admitting the top of high school students in the state. In this context, what percentile does the top represent?
b. Students whose GPAs are at or above the 96th percentile of all students at their high school are eligible (called eligible in the local context), even if they are not in the top of all students in the state. What percentage of students from each high school are "eligible in the local context"?
Six hundred adult Americans were asked by telephone poll, "What do you think constitutes a middle-class income?" The results are in Table 2.69. Also, include left endpoint, but not the right endpoint.
a. What percentage of the survey answered "not sure"?
b. What percentage think that middle-class is from $25,000 to $50,000? c. Construct a histogram of the data.
i. Should all bars have the same width, based on the data? Why or why not?
ii. How should the <20,000 and the 100,000+ intervals be handled? Why? d. Find the 40th and 80th percentiles
e. Construct a bar graph of the data
The following data sets list full time police per citizens along with homicides per citizens for the city of Detroit, Michigan during the period from
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.
94% of StudySmarter users get better grades.Sign up for free