# EBook Problems EDA Plots

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## EBook Problems Set - Graphs and Exploratory Data Analysis Problems

### Problem 1

Two random samples were taken to determine backpack load difference between seniors and freshmen, in pounds. The following are the summaries:

 Year Mean SD Median Min Max Range Count Freshmen 20.43 4.21 17.20 5.78 31.68 25.9 115 Senior 18.67 3.56 18.67 5.31 27.66 22.35 157

Which of the following plots would be the most useful in comparing the two sets of backpack weights?

(a) Histograms
(b) Dot Plots
(c) Scatter Plots
(d) Box Plots

### Problem 2

School administrators are interested in examining the relationship between height and GPA. What type of plot should they use to display this relationship?

(a) box plot
(b) scatter plot
(c) line plot
(d) dot plot

### Problem 3

What would be the most appropriate plot for comparing the heights of the 8th graders from different ethnic backgrounds?

(a) bar charts
(b) side by side boxplot
(c) histograms
(d) pie charts

### Problem 4

There is a compay in which a very small minority of males (3%) receive three times the median salary of males, and a very small minority of females (3%) receive one-third of the median salary of females. What do you expect the side-by-side boxplot of male and female salaries to look like?

(a) Both boxplots will be skewed and the median line will not be in the middle of any of the boxes.
(b) Both boxplots will be skewed, in the case of the females the median line will be close to the top of the box and in the case of the males the median line will be closer to the bottom of the box.
(c) Need to have the actual data to compare the shape of the boxplots.
(d) Both boxplots will be skewed, in the case of males the median line will be close to the top of the box and for the females the median line will be closer to the bottom of the box.

### Problem 5

A researcher has collected the following information on a random sample of 200 adults in the 40-50 age range:

Weight in pounds Heart beats per minute Smoker or non-smoker Single or married

He wants to examine the relationship between: 1) heart beat per minute and weight, and 2) smoking and marital status.

(a) He should draw a scatter plot of heart beat and weight, and a segmented bar chart of smoking and marital status.
(b) He should draw a side by side boxplot of heart beat and weight and a scatterplot of smoking and marital status.
(c) He should draw a side by side boxplot of smoking and marital status and a segmented bar chart of hear beat and weight.
(d) He should draw a back to back stem and leaf plot of weight and heart beat and examine the cell frequencies in the contingency table for smoking by marital status.

### Problem 6

As part of an experiment in perception, 160 UCLA psych students completed a task on identifying similar objects. On average, the students spent 8.25 minutes with standard deviation of 2.4 minutes. However, the minimum time was 2.3 minutes and one students worked for almost 60 minutes. What is the best description of the histogram of times that students spent on this task?

(a) The histogram of times could be symmetrical and not normal with major outliers.
(b) The histogram of times could be left skewed, and in case there are any outliers, it is likely that they will be smaller than the mean.
(c) The histogram of times could be right skewed, and in the case of any outliers, it is likely that they will be larger than the mean.
(d) The histogram of times could be normal with no major outliers.