Determine the level of measurement of the data listed on the h...

Question

Determine the level of measurement of the data listed on the horizontal and vertical axes in the figure.

Bar graph showing motor vehicle fatalities from 2015 to 2019, with years on the x-axis and fatalities in thousands on the y-axis.

Accepted Answer

Hello there. Today we're gonna solve the following practice problem together. So first off, let us read the problem and highlight all the key pieces of information that we need to use in order to solve this problem. Classify the data on the horizontal and vertical axiss according to their level of measurement. Awesome. So it appears for this particular problem we're asked to classify what level of measurement the horizontal and vertical axis values are. Awesome. So with that in mind, let us look at our figure that is provided to us by the prom itself, and for our vertical axis, which represents our Y axis, it denotes the number of cookies sold. And our X-axis, which is the horizontal axis, so once again, our vertical axis is the Y axis, and it denotes the number of cookies sold. And our X-axis, however, is the type of dessert, which is our horizontal axis. So for our horizontal axis, what, and our graph, to be specific, appears to be a bar graph with our blue rectangles denoting our data sets, which are types of dessert. There's 4 different types of dessert listed. We have pie, cake, brownie, and ice cream. And then for our number of cookies sold for our Vertical axis or Y axis, we have values from 0 being the lowest to 50 being the highest value, and it appears the type of dessert that had the most cookies sold was brownie cookies. And the second highest value or it appears that they're tied is cake and ice cream cookies, with the lowest type of dessert that had cookies, the lowest amount of cookies sold is pie cookies. So with that said, with that in mind, now we have a good visualization what is happening for this particular prompt. Let us read off our multiple choice answers to see what our final answer might be, noting I'll read the answer for the horizontal axis first, and then I'll read our answer for the vertical axis second. So A is nomal and ratio, B is ordinal and interval, C is interval and ordinal, and D is nomial and ordinal. Awesome. So first off, in order to solve this particular problem, we need to recall and note that there are 4 levels of measurement in statistics, which I'll call 4L for short. So the four levels of measurement in statistics are as follows. Our first type isnomial, and this is defined as, as we should recall, categories with no inherent order. For example, hair color or gender, and I'll call this N for short fornomial. Our second type is ordinal, which I'll call O for short, and as you should recall, this is defined as categories with a meaningful order, but unequal or unmeasurable intervals between them. For example, letter like letter grades or satisfaction ratings. Our third type is interval, or like the interval level, and as we should recall, this is defined as numerical values with equal spacing, but no true zero value. For example, temperatures in degrees Celsius. And finally, our last level is the ratio level, which, as we should recall, is defined as numerical values with equal spacing and a true zero value, which allows for meaningful ratios, for example, height, weight, and age. Awesome. So with those 4 levels in mind, looking at our graph that is provided to us, We can see that for the X-axis, which represents the horizontal axis, or X-axis, the horizontal axis, it represents the type of dessert, and the types are pie, cake, brownie, and ice cream, and as we should be able to we need to be able to recognize that these are types of categories. And because they're types of categories, they do not have a numerical value or a set inherent order, meaning that a brownie is not greater than a pie. So that would mean that this is qualitative data. So therefore, as a result, the level of measurement for this particular axis will benomial. Sonomial is going to be our answer for the X axis or the horizontal axis, which I'll call HA for short horizontal axis. As for our Y axis, which denotes our vertical axis, this represents the number of cookies sold, and as we should be able to recognize, this denotes quantitative data because these are actual counts, and the numbers are meaningful and can be compared using arithmetic operations using mathematical operations. And it has a true 0 because the lowest amount of cookies sold can be 0, meaning 0 means zero cookies sold. So therefore, without a doubt, as a result, the level of measurement for the Y axis or the vertical axis in this particular case will be ratio. So I'll call it VA for vertical axis for short, and that's it. That means we've officially solved for this particular problem. Hooray, we did it. So looking at our multiple choice answers, the correct answer has to be the letter A, which states that the horizontal axis isnomial and the vertical axis is ratio. Thank you so much for watching. Hopefully that helped, and I can't wait to see you in the next video. Bye.

Determine the level of measurement of the data listed on the horizontal and vertical axes in the figure.

Key Concepts

Levels of Measurement

Bar Graphs

Descriptive Statistics

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