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KP
Numerade Educator

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Problem 36 Easy Difficulty

The U.S. Census Bureau posted the following 2006 Report on America's Families and Living Arrangements for all races.
$$\begin{array}{cc}
\text { No. in Household } & \text { Percentage } \\
\hline 1 & 27 \% \\
2 & 33 \% \\
3 & 17 \% \\
4 & 14 \% \\
5 & 6 \% \\
6 & 2 \% \\
7+ & 1 \% \\
\hline
\end{array}$$
a. Draw a relative frequency histogram for the number of people per household.
b. What shape distribution does the histogram suggest?
c. Based on the graph, what do you know about the households in the United States?

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Video Transcript

We're going to start this problem by creating our relative frequency. Hissed a gram. And so we need to make sure we label the X axis. And why access with the title? So we have the X axis is the number in the household, and the Y axis is the relative frequency measured in percent. And then we have a title for the graph at the top. Now we need to label our axes with numbers. You have one to three four by six and seven, and then for our percent, I'm gonna count by five. Five. And now we need to use the data that were given to create our bars. So for one person in a household, that percentage is 27%. So we're gonna draw that 27 between 25 30. Bring it down just a bit for two people, the percentage is 33% for three people. We have 17%. So between 15 and 20 for four people we have there are 14% So just a little bit below 15 45 people, we have 6%. So we're gonna go just a little bit above five with our bar for six people in the household were at 2%. So between zero and five, and for seven people in the household we have 1%. So that's going to be and even smaller bar got that and this would be our relative frequency history. Graham, now for Part B, were asked, What shaped distribution does the history Graham suggest? So for Part B, we're gonna look at the shape of the graph, and I would say, based on the shape of the graph, because that tail goes to the right, that right tail is really stretch out much farther. We would say that this graph is skewed to the right and looking at our graph. There are some conclusions we can make. So the first would be that the mode for the most common number in a household is two people, and we know that because that's the highest bar. Another thing is we can notice that very few households have more have six or more people or more than five people. But we can see that because those last two bars are so small are so short compared to the others. And we know that their combined percentages 3% which is very few. So those are some things we can note from looking at our graph