Name & Section Number Fall 2017 MAT 150, GU 10. (Histogram) Use the frequency di
ID: 3304135 • Letter: N
Question
Name & Section Number Fall 2017 MAT 150, GU 10. (Histogram) Use the frequency distribution from Problem 6 to construct a histogram (by hand or technology). What can you conclude from the distribution of the digits? Specifically, do the weights appear to be reported or actually measured? 11. (Charts) A bar chart and a Pareto chart both use bars to show frequencies of categories of cate- gorical data. What characteristic distinguishes a Pareto chart from a bar chart, and how does that characteristic help us in understanding the data? 12. (Scatterplot) What is a scatterplot? What type of data is required for a scatterplot? What charac- teristie of the data can be better understood by looking at a scatterplor 13. (Scatterplot) The following scatterplots describe the relationships between (a) the heights of U.S. presidents and the heights of their main opponents in the election campaign: (b) the brain volumes and IQ scores; and (c) the measured chest sizes and weights of bears. Determine whether there exists a correlation in each plot.Explanation / Answer
11) the pareto chart has the bars in a descending order with a cumulative line. this cumulative line and the descending arrangement makes it different from the bar graph.
this charecterestics helps us understand which component contributes the most. this chart helps us to understand the vital few from the trivial many. the cumulative line flattens out if the contribution of the other components are less, if the contribution of all the components are equal firstly they will have equal sized bars and the cumulative line will be a straight line. the pareto 80-20 principle can also be justified from this graph, on an average 80 percent of the contribution is made by 20 percent of the categories.
12)scatter plot is a plot where we have two axes and mark the points corresponding to the observations we have .the dots on the graph signify the observations. real valued.
a bivariate data set is required for a scatterplot.
we can check the assosiation between two variables ie whether there is a correlation between them if there is whether it is a positive or negative correlation. note: we can just study the nature and cannot find the correlation just with the help of a scatterplot, we have to evaluate it mathematically.
13)
a>the data is scattered and there is no pattern to it, so we can say that there is almost no correlation between the height of presidents and their oponents.
b>the data seem much scattered but we observe that there is a series of points sloping downwards, and the line fitted is alo bit downward sloping , so there might exist a negative correlation between brain vol and iq
c>we observe a clear pattern that the points are in an upward slope, ie if 'x' increases 'y' also increases, so we can conclude there is a strong positive correlation between chest sizes and weights of bear.
note : in question 10 the frequency table is not provided.
histograms can be drawn by ploting the values in the x axsis and the frequency in the y axsis, and starting from the lower bound of the class interval draw a box height of which is the frequency.
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