1. In what units are the quantitative variables measured? (Select all that apply
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Question
1. In what units are the quantitative variables measured? (Select all that apply.)
cents, mpg, cylinders, cities, class, model, highways, transmission or dollars.
Here is a small part of a data set that describes the fuel economy (in miles per gallon (mpg)) of model year 2014 motor vehicles.
$2,400
2. The annual fuel cost is an estimate assuming 15,000 miles of travel a year (55% city and 45% highway) and an average fuel price.The table below presents the data for the on-time high school graduation rates in each of the 50 states and the District of Columbia. (Data set may be found here.)
(a) Make a stemplot of these data. (Enter numbers from smallest to largest separated by spaces. Enter NONE for stems with no values.)
Because the stemplot preserves the actual value of the observations, it is easy to find the midpoint and the variability. What are they? (Give your answers as a whole number.)
(b) For this data, splitting the stems gives a clearer picture of the shape of the distribution. Make a second stemplot splitting the stems, placing leaves 0 to 4 on the first stem and leaves 5 to 9 on the second stem of the same value. How does the resulting stemplot compare to the histogram in the figure below?
The original plot appeared roughly symmetric but the new plot appears to be right-skewed.Both plots are left-skewed but the skew is more pronounced in the new plot. Both plots are right-skewed but the skew is more pronounced in the new plot.Both plots are left-skewed but the skew is less pronounced in the new plot.The original plot appeared roughly symmetric but the new plot appears to be left-skewed.
3. The Higher Education Research Institute's Freshman Survey includes over 200,000 first-time full-time freshmen who entered college in 2013. The survey reports the following data on the sources students use to pay for college expenses. (Data set may be found here.)
(a) Explain why it is not correct to use a pie chart to display these data.
Individuals only fall into one of the categories.The percentages add up to less than 100%. Individuals fall into more than one of the categories.The survey didn't include all first-time full-time freshman.The percentages add up to 100%.
(b) Make a bar graph of the data. Notice that because the data contrast groups such as family and student resources, it is better to keep these bars next to each other rather than to arrange the bars in order of height.
4. How are foreign-born residents distributed in the United States? The country as a whole has 13.0% foreign-born residents, but the states vary from 1.3% in West Virginia to 27.1% in California. The table below presents the data for all 50 states and the District of Columbia.
Make a histogram of the percents using classes of width 5% starting at 0.0%. That is, the first bar covers 0.0% to <5.0%, the second covers 5.0% to <10.0%, and so on. (Make this histogram by hand, even if you have software, to be sure you understand the process. You may then want to compare your histogram with your software's choice. Data set may be found here.)
model Vehicle
Class Transmission
Type Number of
Cylinders City
mpg Highway
mpg Annual
Fuel Cost Chevrolet Corvette Two-seater Manual 8 17 29 $2,650 Nissan Cube Small station wagon Manual 4 25 30 $1,850 Ford Fusion Midsize Automatic 4 23 36 $1,800 Chevrolet Impala Large Automatic 6 18 28
$2,400
Explanation / Answer
1) the quantiative variables are
Number of cylinders
City mpg
Highway mpg
Annual fuel cost
Where as model , vehicle class , transmission type are categorical variables.
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