Question 1

What is NOT true about variability?&#10;A) It is differences among the scores of participants&#10;B) If all the participants who take a test earn the same score, there is no variability&#10;C) It is usually found among participants in research studies&#10;D) A synonym for variability is deviation

Accepted Answer

Variability refers to the extent to which scores in a set of data differ from each other or from the mean of the data. While "deviation" is related to variability, in that it often refers to the difference of a set of scores from a central point (like the mean), calling variability and deviation synonyms oversimplifies the concept. Variability encompasses a range of measures (like range, variance, and standard deviation) that describe the spread or dispersion of a set of data. Deviation, specifically, usually refers to how far individual data points are from the mean (average) of a dataset, and is a component of calculating variability, not a synonym for it.

Question 2

Find the range from the following data:&#10;5 , 6 , 7 , 8 , 9 , 10 , 10 , 11 , 12 , 45

Accepted Answer

Range= 45 - 5 = 40

Question 3

Find the interquartile range in the above data.

Accepted Answer

Interquartile range = 11.5 - 6.5 = 5.0

Question 4

What is the score of 45 in the above data referred to as?&#10;A) Variability&#10;B) IQR&#10;C) Outlier&#10;D) A high range

Accepted Answer

The score of 45 in the data set is referred to as an "Outlier," which means it is a data point that is significantly different from the other data points in the set.

Question 5

When median is reported as the average for a set of scores, which measure of variability is customary to report also?&#10;A) Range&#10;B) Interquartile Range&#10;C) Standard Deviation

Accepted Answer

The interquartile range is the customary measure of variability to report alongside the median, as both are based on quartiles and are not influenced by extreme scores.

Question 6

As a general rule, range is appropriate for describing a distribution of scores with outliers. ________

Accepted Answer

Range is sensitive to outliers, which can make it misleading as a measure of variability for distributions with outliers. It does not accurately reflect the spread of the majority of the data in such cases.

Deck 13: Range and Interquartile Range