Stat
When examining the shape of a distribution of numerical data, which of the following is not one of the three basic characteristics of adistribution's shape?
How many numbers are in the data set
The histograms show the Body Mass Index for 81 females and 87 males. Compare the distributions of BMIs for women and men. Be sure to compare the shapes, the centers, and the amount of variation for the two groups. Compare the spread of the distributions. Choose the correct answer below.
the women's values are more spread out.
All methods used for visualizing distributions are based on which of the following?
Make a mark that indicates how many times each value occurred in the data set.
A post office branch recorded the number of customers served per day for a period of time. The data are displayed in the accompanying histogram and dotplot. Based on these graphs, would it be unusual for this branch to serve 250 customers in a day? Why or why not?
No, serving 250customers would not be unusual because the percentage of days where the branch served 250 customers or more is greater than10% and the percentage of days that the branch served 250 customers or less is greater than 10%.
The histograms show the Body Mass Index for 81 females and 87 males. Compare the distributions of BMIs for women and men. Be sure to compare the shapes, the centers, and the amount of variation for the two groups
The BMI for women is right-skewed and unimodal. The BMI for men is right-skewed and bimodal.
From the accompanying histogram, what is the typical number of calories for a fast-food item in this sample?
The typical number of calories for a fast-food item in this sample is approximately 500 calories
The accompanying dotplot is for resting pulse rates of 125 people. Many sources say the resting pulse rate should not be more than 100. a. How many of the 125 people had resting pulse rates of more than 100? b. What percentage of people had resting pulse rates of more than 100?
There are 55 people who had resting pulse rates of more than 100. (Type a whole number.) b. Out of 125 people, 44% had resting pulse rates of more than
distribution of a sample
The _____ organizes data by recording all the values observed in a sample as well as how many times each value was observed.
The existence of multiple mounds in a distribution is sometimes a sign of which of the following?
two very different groups have been combined into a single collection
"Relative frequency" is the same as which of the following?
proportion
If a sample of people were asked how many hours of TV they watched in a typical week, what shape would the data distribution be expected to have?
right-skewed
distribution of a variable in which most of the values are relatively small but that also has a few very large values is called
right-skewed
College students recorded the self-reported weights (in pounds) of some community college male baseball players and male soccer players. Write a brief comparison of the distributions of weights for the two groups. Include appropriate graphics.
Baseball players' weights are right skewed with outliers at about 235 pounds. The soccer players' weights are left-skewed with no outliers. The baseball players tend to weigh more than soccer players. The baseball players have a distribution with more variability than the soccer players' distribution.
What two-step process is used to examine distributions?
see the data and summarize it
A national survey of 2,024 residents over the age of 18 reported the number of years of formal education of the respondents. The linked histogram shows the distribution of data. Answer a through c below
Describe and interpret the distribution of years of formal education. Mention any unusual features. The distribution is multimodal and best described as left-skewed. b. Calculate the number of people in this sample who completed 18 years or more of formal education. There were 230 people who completed 18 years or more of formal education. c. The sample includes 2,024 people. What percentage of people in this sample have 18 years or more of formal education? The percentage of people that have 18 years or more of formal education is 11percent. (Round to the nearest whole number as needed.)
The histograms show the Body Mass Index for 81 females and 87 males. Compare the distributions of BMIs for women and men. Be sure to compare the shapes, the centers, and the amount of variation for the two groups Compare the centers of the distributions. Choose the correct answer below.
The centers appear similar, but the peak for men occurs at a higher BMI
Data are provided in the accompanying table on the number of calories in 12 ounces of 30 different beers. Make a histogram to show the distribution of the numbers of calories, and describe the distribution.
The distribution is bimodal with mode(s) at the bin(s) with center value(s) of 140 110 calories. There is a low-end outlier at 70
The distribution of in-state annual tuition for all colleges and universities in the United States is bimodal. What is one possible reason for thisbimodality?
The distribution might be bimodal because private colleges and public colleges tend to differ in amount of tuition
An instructor asks a class of 150 students how many miles they ran yesterday. What shape do you think this distribution will have? Explain.
The distribution will be right-skewed because the distribution has a lower limit that most of the values will be clustered near, and a long right tail.
A group of 80 drivers in a large city is asked for the number of parking tickets they received in the previous month. What shape do you think this distribution will have? Explain.
The distribution will be right-skewed. Most people will have no tickets, but there will be a few people with 1, 2, 3, or more tickets.
The table shows prices of 50 college textbooks in a community college bookstore, rounded to the nearest dollar. Make an appropriate graph of the distribution of the data, and describe the distribution
The histogram is bimodal with modes at about $30 and about $90.
A stemplot is often useful in which of the following cases?
When technology is not available and the data set is not large
The histograms show the monthly costs for operating two makes of cars: Ford and BMW. Which make typically has higher monthly costs? Which make has more variation in costs?
Which make typically has higher monthly costs? Ford typically has higher monthly costs because the center of the data is higher than for BMW. Which make has more variation in costs? Ford has more variation because the spread of the data is higher than for BMW.
The resting pulse rates (in beats per minute) of a sample of 91 undergraduate students were recorded. The data are displayed in the accompanying histogram and dotplots. Based on these graphs, would you consider a resting pulse rate of 60 beats per minute to be unusually low? Why or why not?
Yes, because less than 10% of the pulse rates were at most 60 beats per minute
A survey asked people what they thought the maximum income tax rate should be in their country. Make separate dotplots of the responses from members of the two political parties, Political Party A and Political Party B. If possible, put one above the other, using the same horizontal axis. Then compare the groups by commenting on the shape, center, and spread of each distribution
a) Both graphs are multimodal and right-skewed b)The center for Party A is lower than the center for Party B. c) The distribution for Party B appears to be more spread out because the party has a greater proportion of people responding with both lower and higher percentages.
The accompanying dotplots show the number of calories in a sample of cereals from two manufacturers, K and G. a. Compare the center and the spread for each dotplot. b. Based on this sample, cereals from which manufacturer tend to have more variation in calories?
a) manufacturers have a similar center, but the spread for manufacturer Ks greater than the spread for manufacturer G b) Cereals from manufacturer K. tend to have more variation in calories because the spread of manufacturer K is greater than the spread of manufacturer G.
A survey asked people whether they preferred cats or dogs and how many pets they had. Make two dotplots showing the distribution of the numbers of pets, one for those preferring dogs and one for those preferring cats. If possible, put one dotplot above the other, using the same horizontal axis. Then compare the distributions.
b)The graph for those who prefer cats is right-skewed. The graph for those who prefer dogs is right-skewed. c)There is an outlier from a cat lover, but typically, cat lovers and dog lovers both seem to have about 2 pets.
n a histogram, observations are grouped into intervals called ____.
bins
Changing the width of bins in a histogram _______.
changes the shape of the histogram.
When examining a distribution of numerical data, which of the following is not a feature that needs to b
each individual value
