The following side-by-side bar graph represents the...

The following side-by-side bar graph represents the proportion of households using four common sources of home heating fuel for the years $1978,1987,1997,$ and 2001 (a) What proportion of households used electricity as their main source of home heating fuel in $1978 ?$ in $1997 ?$ (b) What was the most popular source of home heating fuel in $1987 ?$ (c) If there were 107 million U.S. households in 2001 , how many used LPG as their main source of home heating fuel? (d) What might account for the rise in homes that use electricity as the main source of home heating fuel? (e) Which source of home heating fuel has been decreasing rather steadily? What might account for this? (f) Which sources of home heating fuel have remained rather steady? (GRAPH CAN'T COPY)

The following side-by-side bar graph represents the proportion of households using four common sources of home heating fuel for the years $1978,1987,1997,$ and 2001
(a) What proportion of households used electricity as their main source of home heating fuel in $1978 ?$ in $1997 ?$
(b) What was the most popular source of home heating fuel in $1987 ?$
(c) If there were 107 million U.S. households in 2001 , how many used LPG as their main source of home heating fuel?
(d) What might account for the rise in homes that use electricity as the main source of home heating fuel?
(e) Which source of home heating fuel has been decreasing rather steadily? What might account for this?
(f) Which sources of home heating fuel have remained rather steady?
(GRAPH CAN'T COPY)

Key Concepts

Data Visualization

This concept involves the use of graphical tools, such as side-by-side bar graphs, to represent data in a visual format. It enables the viewer to quickly compare different quantities, categories, or time periods and identify patterns and trends that might not be as apparent in a table or list of numbers.

Interpreting Proportions and Percentages

This involves reading and understanding the fraction or percentage that each segment of the graph represents relative to the whole. It is essential for determining what part of the total each category comprises and for making accurate comparisons between groups.

Comparative Analysis

Comparative analysis refers to the process of comparing different sets of data, such as the values in multiple time periods or among several categories. This technique allows one to identify which categories lead or lag and to notice any shifts or trends over time.

Scaling and Conversion

Scaling and conversion entail translating proportional or percentage data into actual numerical values when a total amount is provided. This is crucial for tasks that require determining specific counts or totals from relative data measures.

Trend Analysis

Trend analysis is the examination of data points over time to observe patterns or changes. It involves noting increases, decreases, or steady patterns in the data, and hypothesizing about the factors or events that may have influenced these trends.

Transcript

00:01 In this exercise, we have a side -by -side bar graph that represents the proportion of households using four common sources of home heating fuel for the years 1978, 1987, 1999 and 2001.

00:20 In the first part of the problem, we're going to be finding the proportion of households that use the electricity as their main source of income, sorry, the main source of home.

00:32 Heating fuel in the year 1978 and then in the year 1997.

00:42 So in the year 1978 we find that the proportion of households that used electricity as a main source of income was 0 .16.

01:03 As a percent it's going to be 16 percent.

01:08 In the year 1997, the proportion of households that use electricity as their main source of home heating fuel was 0 .30, which equals 30%.

01:35 In part b of the problem, we are checking what the most popular source of home heating fuel was in the in the year 1987.

01:51 So in the year, 1987, when you check the side by side bar graphs, you'll notice that natural gas was the most popular.

02:07 You're able to tell that it is natural gas because when you check the bars, you'll find that the bar for natural gas was the tallest.

02:21 That is in the year 1987.

02:27 In part c of the problem, we're going to determine how many households used lpg as their main source of home heating fuel, given that there were 107 million us households in the year 2001.

02:53 So the total number of households is 107 million.

03:05 And we want to look at what number used lpg as their main source of home heating fuel.

03:16 So you notice that the proportion is 0 .05.

03:24 And so we need to multiply that by 107 million and when you do that you obtain the value 5 .35 million...

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