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 the percentage of children by age group participating in vacation planning, ranging from under 3 to 18+.

Accepted Answer

Hello there. Today we're going to 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. Determine the level of measurement of the data listed on the horizontal and vertical axiss in the figure. Awesome. So it appears that we're ultimately trying to determine what level of measurement is the horizontal or the X axis and the vertical axis, which is the Y axis, we're trying to figure out what each level of measurement is for the Y axis and the X-axis based off of our figure. So looking at our figure, our Y axis, the vertical axis, represents the number of books purchased. And the lowest value is 0, and the the highest value is 30. And for our X axis, which is the horizontal axis because we determined our vertical up and down axis is our Y axis. And once again, our Y axis is the number of books purchased in our X-axis, or the horizontal axis is our college major. And as you can see from our figure, we have a bar graph with 4 different college majors, so 4 different bars on our for our figure. So our 4 different college majors are biology, which is the far left bar, then we have history, mathematics, and then art, which is the far right bar. And it appears from our bar graph that history, college majors. Purchase the most books, with biology being the 2nd highest book purchasing college major, followed by mathematics and then the lowest amount of books purchased is done by art college majors according to this figure. And our bar graphs are all represented by blue rectangles. So now that we have a good visualization of what's happening for this particular prompt, let's take a moment to read off our multiple choice answers to see what our final answer pair might be, noting I will read the answer for the X axis first, and then I'll follow it with the Y axis answer. So A is ordinal and interval, B is ratio and ordinal, C is nomial and ratio, and D is nomial and interval. Awesome. So first off, in order to solve this particular problem, We need to note and recall that there are 4 levels of measurement in statistics. So let's make a note of this. So there's 4 levels, I'll call it 4 L for short. So our 4 different levels, as we should recall, and we'll go and we'll start with nomial first. So fornomial, which I'll call N for short, as we should recall, the definition is categories with no inherent order, for example, hair color or gender. Our next category is ordinal, and the definition of the ordinal level, as we should recall, is categories with a meaningful order, but unequal or unmeasurable intervals between them. For example, letter grades or satisfaction ratings. Then we have the interval level, which, as we should recall, its definition is numerical values with equal spacing, but no true zero, and for example, these are data sets that include temperature in degrees Celsius. And finally, we have 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 and examples of this measurement level is height, weight, and age. Awesome. So with that in mind, focusing our attention now on our provided graph figure. We can determine that the X-axis, which our X-axis once again denotes our horizontal axis, and it represents the college major. And as you can see, the data shown is biology, history, mathematics, and art. And these are categories with no inherent order or ranking, and college majors or labels or names used to identify different groups. So for this particular case, that will mean that this is a characteristic of nomial data. So let's make a note that next to our nomial data, that this is for our X axis. Awesome. And as for our Y axis, this represents the number of books purchased, and this is our vertical axis, and the data shown is numerical values from It starts at 0, which there's 0 books person, so, and if you want to start, if you want to pretend that 0 is not there, you could say that this is numeric values between because the number of books purchased because you can't, well, you can buy 0 books, but it seems like all the college majors in this particular case purchased at least 1 book. So this goes from numeric values from 1 to 30, with 30 being the highest amount of books like possible books purchased. So as you can see, the number of books is a countable quality, and the data has a true zero because we do have this 0 value because zero books means that there's none or none none no books were purchased, and once again that would make it a true value, a true zero value. So that means that the ability to calculate differences in ratios is present is present in this particular prompt. So, for example, 20 books is twice as many as 10 books. So that means without a doubt that the Y axis will denote ratio level data. So that means we've officially solved for this particular problem. Hooray, we did it. So looking at our multiple choice answers, our correct answer has to be multiple choice answer letter C, which once again is X axis is nomial and Y axis is ratio. And that's it. We've officially solved for this problem. 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

Categorical Data

Bar Graph Interpretation

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