The following data represent exam scores in a statistics class taught using traditional lecture and a class taught using a "flipped" classroom. Complete parts (a) through (c) below. Traditional 69.8 68.8 78.9 67.8 86.2 79.2 56.9 O 80.3 81.3 72.2 63.4 70.5 60.5 Flipped 76.4 72.1 63.4 92.6 78.6 72.1 77.9 77.1 83.2 69.2 90.1 78.7 77.1 (a) Which course has more dispersion in exam scores using the range as the measure of dispersion? The traditional course has a range of while the "flipped" course has a range of The V course has more dispersion. (Type integers or decimals. Do not round.) (b) Which course has more dispersion in exam scores using the sample standard deviation as the measure of dispersion? The V course has more dispersion. The traditional course has a standard deviation of while the "flipped" course has a standard deviation of (Round to three decimal places as needed.) flipped (c) Suppose the score of 60.5 in the traditional course was incorrectly recorded as 605. How does this affect the range traditional The range is now (Type an integer or a decimal. Do not round.) How does this affect the standard deviation? Click to select your answer(s). 44444 BORN bere to search
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
Part a:
From the provided data for traditional class we have,
Minimum value = 56.9
Maximum value = 86.2
Thus, range = Maximum value - Minimum value = 86.2 – 56.9 = 29.3
From the provided data for flipped class we have,
Minimum value = 63.4
Maximum value = 92.6
Thus, range = Maximum value - Minimum value = 63.4- 92.6 = 29.2
The traditional course has a range of 29.3, while the flipped course has range of 29.2.
The traditional course has more dispersion.
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