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Chapter 2: Problem 2

Your friend is thinking about buying shares of stock in a company. You have been tracking the closing prices of the stock shares for the past 90 trading days. Which type of graph for the data, histogram or time-series, would be best to show your friend? Why?

Short Answer

Expert verified
Use a time-series graph to show trends and fluctuations in stock prices over time.

Step by step solution

01

Understand the Data Context

We are dealing with 90 days of closing prices of stock shares. This implies continuous data recorded over a period.
02

Identify the Purpose

The goal is to help your friend understand how the stock prices have changed over time, reflecting trends and patterns.
03

Analyze Graph Options

A histogram is useful for showing the frequency distribution of data, which is not our primary interest here. Instead, a time-series graph displays data points in chronological order, making it ideal for showing changes over time.
04

Select the Appropriate Graph

Given the nature of the data and the need to understand trends, choose a time-series graph. This graph will effectively portray the variations and trends in the stock prices over the 90 days.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Time-Series Graph
A time-series graph is a powerful tool used to display a series of data points in time order. The purpose of this graph is to observe how a particular variable changes over a period.
It's especially useful when you want to track changes and trends.
  • Plots data points at consistent time intervals, like days, months, or years.
  • Helps visualize long-term trends and patterns in data.
  • Facilitates comparison of data at different points in time.
For example, when tracking stock prices, a time-series graph could show whether the prices are generally rising, falling, or fluctuating significantly over a period, enabling a strategic analysis of when to buy or sell shares.
Histogram
Unlike a time-series graph, a histogram illustrates the distribution of a dataset over different intervals or "bins". In the context of analyzing stock prices, a histogram would be used if you wanted to know how frequently different price ranges occur over the 90 days.

However, its use isn't optimal for understanding how stock prices change over time.
  • Shows the frequency of occurrences for different price ranges.
  • Useful for identifying patterns like central tendency and variability.
  • Does not inherently display changes over time.
This makes the histogram more suited for data where the focus is on the distribution rather than the time-based progression of the data.
Stock Prices
When we discuss stock prices, we're referring to the daily cost of purchasing a share in a company. Stock prices are influenced by numerous factors, such as investor sentiment, market conditions, and company performance.

Understanding stock prices over time is crucial for investors aiming to optimize their buying and selling strategies.
  • Highly dynamic and affected by internal and external factors.
  • Analyzing stock prices over time can reveal important trends and investment opportunities.
  • Time-series graphs align perfectly with the need to analyze such data efficiently.
Investors often rely on analyzing historical stock prices to identify potential areas of future growth or decline.
Data Trends
Data trends refer to the patterns in which data points move over time. Identifying trends is key in understanding the behavior of a dataset, such as stock prices.
Through revealing trends, time-series graphs help with making predictions and decisions.
  • Showcases upward, downward, or sideways trends.
  • Helps to identify cyclical patterns or seasonal effects.
  • Essential for forecasting future data points.
By understanding the trends in stock prices, investors can better predict future movements, helping them to make informed decisions about their investments. Whether you're looking at a short-term increase or a long-term decline, identifying these trends is crucial in strategic financial planning.

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Most popular questions from this chapter

Pyramid Lake, Nevada, is described as the pride of the Paiute Indian Nation. It is a beautiful desert lake famous for very large trout. The elevation of the lake surface (feet above sea level) varies according to the annual flow of the Truckee River from Lake Tahoe. The U.S. Geological Survey provided the following data: $$ \begin{array}{c|c} \hline \text { Year } & \text { Elevation } \\ \hline 1986 & 3817 \\ 1987 & 3815 \\ 1988 & 3810 \\ 1989 & 3812 \\ 1990 & 3808 \\ 1991 & 3803 \\ \hline \end{array} $$ $$ \begin{array}{c|c} \hline \text { Year } & \text { Elevation } \\ \hline 1992 & 3798 \\ 1993 & 3797 \\ 1994 & 3795 \\ 1995 & 3797 \\ 1996 & 3802 \\ 1997 & 3807 \\ \hline \end{array} $$ $$ \begin{array}{c|c} \hline \text { Year } & \text { Elevation } \\ \hline 1998 & 3811 \\ 1999 & 3816 \\ 2000 & 3817 \\ \hline \end{array} $$ Make a time-series graph displaying the data. For more information, visit the Brase/Brase statistics site at college.hmco.com/pic/braseUs9e and find the link to the Pyramid Lake Fisheries.

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It is costly in both time and money to go to college. Does it pay off? According to the Bureau of Census, the answer is yes. The average annual income (in thousands of dollars) of a household headed by a person with the stated education level is as follows: \(16.1\) if ninth grade is the highest level achieved, \(34.3\) for high school graduates, \(48.6\) for those holding associate degrees, \(62.1\) for those with bachelor's degrees, \(71.0\) for those with master's degrees, and \(84.1\) for those with doctoral degrees. Make a bar graph showing household income for each education level.

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