Question

Given each scenario, identify an appropriate type of chart or plot that you would use to determine the answer. (e.g. pie chart, scatterplot, etc.)
a) We want to understand distribution the cholesterol level of 100 males aged 20-30
b) Is the correlation between daily outside temperature and amount of natural gas used for heating positive or negative?
c) We want to understand the Indiana yearly harvest (in tons) of soybeans between 1985 and 2015
d) We want to see if there is a relationship between the weight of a passenger vehicle and fuel efficiency (measured as miles per gallon). We want to understand the distribution of yearly household incomes in Tippecanoe County for 2012. A poll of 200 undergraduates was taken. The respondents were asked to list all the modes of transportation used going from their home to campus What is the percentage of Indiana vehicles that are small passenger cars, large passenger cars, trucks, SUVs, and other types?

Answer 1

Answer:

a) dot plot

b) scatter plot

c) bar graph

d) scatter plot

e) histogram

f) pie chart

g) pie chart

Step-by-step explanation:

a) Cholesterol level for 100 males is observed, there is no grouping of people based on different range of cholesterol level, so the best chart for this dataset of 100 males will be a dot plot that shows all the 100 men’s cholesterol level on the chart and helping in depicting the trend as well.

b) For correlation of two factors the best graph is the scatter plot. If the direction of scatters is from lower left to upper right, then the relation is positive. But if the direction of the scatter points is from upper left to lower right then the relation is negative. Thus the best graph for it is scatter plot

c) A bar graph helps to plot the years on the x axis and the harvest on the y axis. A bar for each year is plotted and the length of the bar helps identify the value of yearly harvest.

d) For correlation of two factors the best graph is scatter plot. If the direction of scatters is from lower left to upper right, then the relation is positive. But if the direction of the scatter points is from upper left to lower right then the relation is negative.

Note: After question d) I have divided the questions into e), f) and g) as can be understood.

e) We want to understand the distribution of yearly household incomes in Tippecanoe County for 2012.

In order to understand the distribution of the household income a histogram can be used for the same. Continuous intervals of income can be formed. The bars of each range can be drawn and the distribution can be observed. If each range has same proportion of people the distribution is uniform, is it is lower at the extreme values and higher at the middle values then the distribution is normal and so on, such interpretations can be drawn from such a graph.

f) A poll of 200 undergraduates was taken. The respondents were asked to list all the modes of transportation used going from their home to campus.

Each mode of transportation can form one segment of pie chart. Thus pie chart helps in this kind of categorical data. Each segment size in the pie circle corresponds to the proportion of people in that segment.

g) What is the percentage of Indiana vehicles that are small passenger cars, large passenger cars, trucks, SUVs, and other types?

A pie chart can show the percent of each type of categories of cars. Each segment size in the pie circle corresponds to the proportion of people in that segment

Hope this helps!