One advantage of a _____________ is that the actual data values are retained in the graphical display of the data.
A) Pie chart
B) Dot plot (This one?)
C) Histogram
D) boxplot
If we want to discuss any gaps and clusters in a data set, which of the following should not be chosen to display the data set?
A) histogram
B) box plot (this one?)
C) stem and leaf
D) dot plot
Environmental researchers have collected rain acidity data for several decades. They want to see if there is any evidence that attempts to reduce industrial pollution have produced a trend toward less acidic rainfall. They should display their data in a(n)…
A) bar graph
B) boxplot
C) timeplot
D) histogram (this one?)
E) contingency table
thanks for helping me cheat tho
To determine the correct answers, let's go through each question one by one:
1. One advantage of a _____________ is that the actual data values are retained in the graphical display of the data.
To answer this question, we need to determine which type of graph retains the actual data values in the graphical display. Let's analyze each option:
A) Pie chart: In a pie chart, the data values are represented as sections of a circle, but the actual values are not retained in the graphical display. Instead, only the proportion or percentage of each category is displayed.
B) Dot plot: In a dot plot, each data point is represented with a dot on a horizontal or vertical axis. The actual data values are retained and clearly visible in the plot. Therefore, this is the correct answer.
C) Histogram: In a histogram, the data values are grouped into intervals and displayed as bars, but the individual data points are not retained in the graphical display. Instead, the frequency or count within each interval is shown.
D) Boxplot: In a boxplot, the focus is on summary statistics (like quartiles, median, and outliers) rather than the individual data points. Hence, the actual data values are not retained in the graphical display.
Based on this analysis, the correct answer is B) Dot plot.
2. If we want to discuss any gaps and clusters in a data set, which of the following should not be chosen to display the data set?
To choose the appropriate type of graph for analyzing gaps and clusters in a data set, we need to assess the options:
A) Histogram: Histograms represent the distribution of data and provide insights into gaps and clusters by showing the frequency or count within each interval.
B) Box plot: Box plots display summary statistics, such as quartiles and outliers, providing information about the spread and central tendency of the data. While box plots don't directly show gaps and clusters, they can still offer some insights when used alongside other graphical displays.
C) Stem-and-leaf plot: Stem-and-leaf plots are useful for visualizing individual data points and can provide insights into gaps and clusters.
D) Dot plot: Dot plots, similar to stem-and-leaf plots, can display individual data points and reveal gaps and clusters in the data.
Based on this analysis, the correct answer is B) Box plot.
3. Environmental researchers have collected rain acidity data for several decades. They want to see if there is any evidence that attempts to reduce industrial pollution have produced a trend toward less acidic rainfall. They should display their data in a(n)…
To determine the appropriate type of graph for displaying the rain acidity data, we need to consider the purpose of the graph:
A) Bar graph: Bar graphs are used to compare categorical data or discrete variables. Since the researchers are interested in examining trends and patterns in rain acidity data, a bar graph would not be the most suitable choice.
B) Boxplot: Boxplots show the distribution of a continuous variable, but they may not be the best choice for displaying trends over time.
C) Timeplot: Timeplots are specifically designed to display data collected over time. Rain acidity data collected over several decades is best represented using a timeplot.
D) Histogram: Histograms are useful for visualizing the distribution of a continuous variable, but they may not effectively capture trends over time.
E) Contingency table: Contingency tables are used to display the relationship between two categorical variables, which may not be suitable for analyzing trends in rain acidity data.
Based on this analysis, the correct answer is C) Timeplot.
I hope this explanation helps you understand the reasoning behind the correct answers!