College Survey In a national survey conducted by the Centers f...

Question

College Survey In a national survey conducted by the Centers for Disease Control to determine health-risk behaviors among college students, college students were asked, “How often do you wear a seat belt when riding in a car driven by someone else?” The frequencies were as follows:

e. Construct a relative frequency bar graph.

Table showing seat belt use frequency among college students with responses and corresponding counts.

e. Construct a relative frequency bar graph.

Accepted Answer

Hi everybody and welcome back. Our next problem says a survey asked 200 employees how they usually spend their lunch break. The responses were Eat at dusk, 60, go out to eat 50, bring food from home, 70, skip lunch, 20. Construct a relative frequency bar graph. And we are given sort of the template for the graph. The title is survey of how employees spend their lunch break with a light blue square for showing relative frequency. Our Y axis is relative frequently frequency, and our X axis says responses. So we know because we're looking at relative frequency. That we're not going to be graphing numbers like 60, 50, 70. We need to calculate what proportion of the total each response corresponds to. So, we have our 200 employees. So, let's start with eating a desk. So we'll just put desk. Says 60 Eat at the desk, divide that by the total number of 200. And we're going to get a relative frequency of 0.30. And then just go down for each response. So eating at desk, and then next one is go out. That was 50 people divide by 200. And we get 0.25. Then food from home, home was 70 people divided by 200. equals 0.35. And then skip altogether. It was 20 people 0 looks so funky divided by 200. And that equals 0.10. So, notice our range of values here. Um, it makes sense to start from zero. We have 0.10 as our lowest. 0.35 as our highest. And since we're given a preexisting template, uh, there are horizontal lines on this, indicating the units the relative frequency will be broken into. So, let's count how many divisions we have. To decide on the scale. So, starting from the bottom, and then looking at these horizontal lines, we have 12345678, divisions with 8 being the very top. And we have this range from 0.10 to 0.35. So a convenient range of values here is if we started. Um, at the bottom of the graph with 0, and labeled the very top of the graph as 0.40. So, then our units here will be 0.05. So, the first line 0.05, then 0.10. 0.15, 0.20, 0.25, 0.30, 0.35. So, that's our y axis and its labels. And then our responses, we have 4 different responses. So, we'll have 4 different bars here. So, I'll just write down at the bottom, I'm going to write desk. Go out down across the x axis. Home And skip. So, we'll start with the desk. That relative frequency is 0.30. So, draw a bar. From the bottom, stopping at 0.30. We will fill it in with a light blue, since we were already given that key with the graph we uh were given, but we'll wait till we have all our bars. Go out 0.25, so find. That line on our graph, excuse my. Let's do that a little better. But again, the point is, if you were doing this on a test. You might look a little shaky too. I'll use my stool straightening tool to make straight lines for the next one, but. There we And the next one is home. The, uh, which is 0.35 relative frequency, our highest one. So, we'll make a line up on 0.35. And just make our vertical lines down. Which are not straightening for whatever reason, but that's OK. The point is they're in the right place on the graph. And then skip was 0.10. So that's at the 2nd line there. So now we have our 4 bars representing relative frequency, and we'll just fill that in with a light blue color. Since that is a key we were given. So, there we go. This is how we would make a bar graph. A relative frequency bar graph to be specific. Of this survey, the results of this survey asking employees how they usually spend their lunch break. See you in the next video.

Key Concepts

Frequency and Relative Frequency

Bar Graph Construction

Data Interpretation in Surveys

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