i. which variables have the largest variability? course hero

How do you find the largest variability?

It's the easiest measure of variability to calculate. To find the range, simply subtract the lowest value from the highest value in the data set. Range example You have 8 data points from Sample A. The highest value (H) is 324 and the lowest (L) is 72.

Which data set has greater variability?

The range of a dataset is the difference between the largest and smallest values in that dataset. For example, in the two datasets below, dataset 1 has a range of 20 – 38 = 18 while dataset 2 has a range of 11 – 52 = 41. Dataset 2 has a broader range and, hence, more variability than dataset 1.

How do you find most variability in statistics?

Measures of Variability: Variance Find the mean of the data set. ... Subtract the mean from each value in the data set. ... Now square each of the values so that you now have all positive values. ... Finally, divide the sum of the squares by the total number of values in the set to find the variance.

What does large variability mean?

A small number for the variance means your data set is tightly clustered together and a large number means the values are more spread apart.

How do you find the greater variability in a box plot?

7:479:46Grade 7 Math 11.2C, Compare Box Plots with different variabilityYouTubeStart of suggested clipEnd of suggested clipVideo we can use the interquartile range to compare the spread of the data in box plots numericallyMoreVideo we can use the interquartile range to compare the spread of the data in box plots numerically by finding the difference between the upper that's the third quartile.

How do you compare variability?

5:1510:26Comparing Center and Variability of Data Sets (S.ID.2) - YouTubeYouTubeStart of suggested clipEnd of suggested clipSo let's go ahead and talk about the measure variability just like with them the measure of centerMoreSo let's go ahead and talk about the measure variability just like with them the measure of center you want to have one number that tells you that that allows you to compare like either the median or

Which of the following is the best measure of variability?

standard deviationSince the range only uses the largest and smallest values, it is greatly affected by extreme values, that is - it is not resistant to change. That's why the best measure of variability is standard deviation.

Which measure of variability is most important and why?

The standard deviation is the most commonly used and the most important measure of variability. Standard deviation uses the mean of the distribution as a reference point and measures variability by considering the distance between each score and the mean.

What is an example of variability?

A simple measure of variability is the range, the difference between the highest and lowest scores in a set. For the example given above, the range of Drug A is 40 (100-60) and Drug B is 10 (85-75). This shows that Drug A scores are dispersed over a larger range than Drug B.

Is there more variability in smaller samples?

If there is an increased probability of one small sample being unusual, that means that if we were to draw many small samples as when a sampling distribution is created (see the second lecture), unusual samples are more frequent. Consequently, there is greater sampling variability with small samples.

What are the types of variability?

There are four frequently used measures of variability: the range, interquartile range, variance, and standard deviation.

Do larger samples have less variability?

There is an inverse relationship between sample size and standard error. In other words, as the sample size increases, the variability of sampling distribution decreases.