The answer is b
The interquartile range is preferred when the data are skewed or have outliers. An advantage of the standard deviation is that it uses all the observations in its computation.
The interquartile range are resistant to outliers and can be used for data having glaring outliers.
Outliers are values that are too far away from the central value.
Interquartile range is a better option than standard deviation when there are a few extreme values and the distribution is skwed.
C. The coefficient of variation is a measure of relative dispersion that expresses the standard deviation as a percentage of the mean, for any data on a ratio scale and an interval scale
Th Coefficient of Variance is a measure of dispersion that can be calculated using the formula:
Where is the Standard Deviation
and is the sample mean
From the formula written above, it is shown that the Coefficient of Variation expresses the Standard Deviation as a percentage of the mean.
Coefficient of variation can be used to compare positive as well as negative data on the ratio and interval scale, it is not only used for positive data.
The Interquartile Range is not a measure of central tendency, it is a measure of dispersion.
the answer would be d
The table of this question is in the attachments.
Answer and Step-by-step explanation: Standard deviation is a measure of how spread the data is from the mean. It is calculated as:
s = √∑(x - μ)² / n - 1
where μ is the mean of the set.
Range is the difference between the highest and lowest value of a data set.
(a) Range of Traditional course:
range = 80.4 - 56
range = 24.4
Range of "flipped" course:
range = 92.6 - 63.5
range = 29.1
Comparing ranges, the "flipped" course has more dispersion than the traditional.
(b) Standard Deviation of Traditional course:
mean = 71.6
s = 8.95
Standard Deviation of "flipped" course:
mean = 77.6
s = 8.3
Comparing standard deviation, traditional course has more dispersion.
(c) If you change one score, range for traditional will be:
range = 591 - 56
range = 535
Changing one score increase in almost 22 times the range for this category.