EBook Problems EDA Pics

EBook Problems Set - Pictures of Data 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?

• Choose One Answer:

(a) Histograms

(b) Dot Plots

(c) Scatter Plots

(d) Box Plots

Answer

 (d)

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?

• Choose one answer.

(a) box plot

(b) scatter plot

(c) line plot

(d) dot plot

Answer

 (b)

Problem 3

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

• Choose one answer.

(a) bar charts

(b) side by side boxplot

(c) histograms

(d) pie charts

Answer

 (b)

Problem 4

Your local running club has its own track and keeps accurate records of each member's age and individual best lap time around the track so members can make comparisons with their peers. The club publishes the histogram for age of the members and another histogram for their running times (the histograms are not shown here). These histograms are very symmetric, almost bell shaped. Suppose you wanted to show a group of new members how much joining this team improves people's running times. Are the two histograms published by the club useful to show this?

• Choose one answer.

(a) Yes, the time one because it shows the time

(b) No, because they are not comparing times for those who are not in the club and time for those who are in the club

(c) No sets of histograms could show this point

(d) Yes, the age one, because it shows that there are people of all ages in this club

Answer

 (b)

Problem 5

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?

• Choose one answer.

(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.

Answer

 (b)

Problem 6

A school principal wants to examine the effect of an after-school program on improving the students' math skills. Two groups of students participated in the after-school program: the students who received F's or D's in math, and the students who received C's in math. There are 100 students in each group. Both groups of students are given the same math test before and after the program. Results show that the students who had F's and D's showed more improvement than those who had C's. What do you expect the histogram of the net scores for these two groups to look like? (net = after score - before score)

• Choose one answer.

(a) Symmetrical

(b) Skewed to the left

(c) Bimodal

(d) Skewed to the right

Answer

 (c)

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