Quiz 3

1.  What is a bar​ graph? What is a Pareto​ chart? What is a bar​ graph?

1. A bar graph is a horizontal or vertical representation of the frequency or relative frequency of the categories. The height of each rectangle represents the​ category’s frequency or relative frequency.
2. A bar graph is a circular graph that uses bars to divide it into segments corresponding to each category. The segments are proportional to the frequency of its category.
3. A bar graph represents the frequencies of values either from​ left-to-right or​ right-to-left. The different segments of the bar are used to indicate the different frequencies of each category.

What is a Pareto​ chart?

1. A Pareto chart is a combination of a pie chart and a bar graph.
2. A Pareto chart is a bar graph whose bars are drawn in decreasing order of frequency or relative frequency.
3. A Pareto chart is a display of two data sets side by side where the height of each rectangle represents the​ category’s frequency or relative frequency.

2.   The following Pareto chart shows the position played by the most valuable player​ (MVP) in a certain baseball league for the last 97 years. Use the chart to answer parts​ (a) through​ (d).

​(a) Which position had the most​ MVPs? The position with the most MVPs was ____

(b) How many MVPs played pitcher ​(P​)? ____ MVPs played pitcher.

(c) How many more MVPs played outfield​ (OF) than pitcher​? ____ more MVPs played outfield than pitcher.

​(d) There are three outfield positions​ (left field, center​ field, right​ field). Given​ this, how might the graph be​ misleading?

1. The graph is misleading because the bars are decreasing in height from left to right.
2. The positions or combinations of positions should be chosen so that all the bars are closer together in height.
3. The chart seems to show that one position has many more MVPs because three positions are combined into one. They should be separated.
4. All the information is​ true, so the graph is not misleading.

3.  A national survey asked​ people, “How often do you eat out for​ dinner, instead of at​ home?” The frequencies were as follows. Complete parts ​(a) through ​(g).

​(a) Construct a relative frequency distribution of the data.

(b) What percentage of respondents answered​ “Always”? _____

​(c) What percentage of respondents answered​ “Never” or​ “Rarely”?

​(d) Construct a frequency bar graph. Choose the correct answer below.

4.   The table shows the movement of a stock for 30 randomly selected trading days.​ “Up” means the stock price increased in value for the​ day, “Down” means the stock price decreased in value for the​ day, and​ “No change” means the stock price closed at the same price it closed for the previous day. Complete parts​ (a) through​ (e) below.