In west texas water is extremely important the following...

In West Texas, water is extremely important. The following data represent pH levels in ground water for a random sample of 102 West Texas wells. A pH less than 7 is acidic and a pH above 7 is alkaline. Scanning the data, you can see that water in this region tends to be hard (alkaline). Too high a pH means the water is unusable or needs expensive treatment to make it usable. These data are presented in increasing order. x: pH of Ground Water in 102 West Texas Wells 7.0 7.0 7.0 7.0 7.0 7.0 7.0 7.0 7.1 7.1 7.1 7.1 7.1 7.1 7.1 7.1 7.1 7.1 7.2 7.2 7.2 7.2 7.2 7.2 7.2 7.2 7.2 7.2 7.3 7.3 7.3 7.3 7.3 7.3 7.3 7.3 7.3 7.3 7.3 7.4 7.4 7.4 7.4 7.4 7.4 7.4 7.4 7.4 7.5 7.5 7.5 7.5 7.5 7.5 7.5 7.5 7.6 7.6 7.6 7.6 7.6 7.6 7.6 7.6 7.6 7.7 7.7 7.7 7.7 7.7 7.7 7.8 7.8 7.8 7.8 7.8 7.9 7.9 7.9 7.9 7.9 8.0 8.1 8.1 8.1 8.1 8.1 8.1 8.1 8.2 8.2 8.2 8.2 8.2 8.2 8.2 8.4 8.5 8.6 8.7 8.8 8.8 Is the given data nominal, ordinal, interval, or ratio? nominal ordinal interval ratio Explain. The data can be arranged in order, differences between values have a meaning, but there is not a true zero that has meaning beyond a place on the scale. The data cannot be arranged in order. The data can be arranged in order, differences between values have a meaning, and there is a true zero that has meaning beyond a place on the scale. The data can be arranged in order but differences between values do not have a meaning.

Transcript

00:01 Once again, welcome to a new problem.

00:05 This time we're dealing with different types of data.

00:08 So when you think about data, you have two options.

00:11 Data can be quantitative.

00:15 Data can be quantitative, and of course, data can also be qualitative.

00:22 So you have two options.

00:25 When it comes to data, data can be quantitative, and of course, data can also be qualitative when it comes to, so this would be the type of data.

00:39 This is the type of data and after the type of data, we could have, for quantitative data, we could have interval scale of measurement.

00:51 So these are scales of measurement, scale of measurement.

00:55 We have interval, and then we also have ratio.

01:01 So ratio scale of measurement.

01:04 When it comes to qualitative, we have nominal and we also have ordinal type of data.

01:14 And for the most part, when you're defining the different types of data, so nominal data, simply means that the data is categorical.

01:30 So the type of data is categorical, and there is no ranking.

01:37 So there's no ranking, and the data is categorical.

01:41 So, for example, you could have something like gender, and within gender you have male and female.

01:49 So we have both male and female, which happened to be, categorical.

01:55 In ordinal type of data, the data is categorical.

02:01 The data is categorical, but at the same time, we do have a ranking of data.

02:08 So there is, when we say ranking, we mean that there's some type of order.

02:14 For example, grades in school, so if you have grades in school, you're going to see that you have a, b, c, and d.

02:23 So a is the highest rank in this instant, and d is, of course, going to be the lowest ranking when it comes to this instant.

02:36 When we're looking at interval scale, so interval scale, first of all, it's quantitative data and the differences the differences between data points, the differences between data points can be set in terms of fixed intervals.

03:16 So we can have fixed intervals in this case, if you want to call it that.

03:21 For example, temperature is a classic example of interval scale and so we have 40 degrees celsius and we also have other than 40 degrees celsius, we also have 20 degrees celsius.

03:40 So these are interval scales but the intervals, it does not mean that 20 degrees celsius is not, so we want to say is not twice 40 degrees cells is not twice 20 degrees cells is not twice 20 is not twice 40 degrees cells yes so that's the thing about interval levels of measurement we do have the degrees the different degrees forming intervals but then 20 degrees is not twice 40 degrees if you want to call it that when it comes to the ratio the ratio has an absolute zero.

04:33 So ratio scale has an absolute zero.

04:36 So zero has a meaning.

04:40 And of course, ratio is similar to interval in the sense that it has fixed intervals.

04:46 It has fixed intervals, but it also has zero, which has a true meaning.

04:54 Remember the temperature, when you think about the temperatures, the zero temperature when it comes to temperature this zero degrees has no specific true meaning it doesn't mean absence of temperature it just means that it's super cold when it comes to the ratio on the other hand 2 .1 times 2 is the same thing as 4 .2 and a value of zero means absence of value.

05:31 It means absence of value.

05:33 So things like weight and height, weight and height, if you do have zero, then it means it's some form of absence of height...

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