(c) (4) What percentage of standardized test scores is less than 310 or greater
ID: 3070145 • Letter: #
Question
(c) (4) What percentage of standardized test scores is less than 310 or greater than 6 25? 10. (20) The following data represent exam scores in a statistics class taught using traditional lecture anda a statistics class taught using a "lipped" classroom. (Round to TWO decimal places as needed) Flipped 76 respectively. (Using Calculator) 69 (a) (8) Find sample mean, sample standard deviation (SD) and Five-number summary for two methods, Max Sample mean Sample ol Median 03 Min SD (b) (2) Which course has more dispersion in exam scores using the range as the measure of dispersion? (e) (2) Which course has more dispersion in exam scores using the sample standard deviation as the measure of dispersion? (d) (5) Find interquartile range for two methods, respectively. Suppose the student in a traditional class who made the lowest exam score was 43 instead of 60. Is this lowest score 43 an outlier? (e) (3) How does this lowest score 43 affect mean? The median? Explain whyExplanation / Answer
(a)
(b) For Traditional, Range=Max-Min=86-60=26
For Flippeed, Range=Max-Min=91-64=27
Thus Flipped course has more dispersion in exam scores.
(c) For Traditional, SD=2.73
For Flippeed, SD=2.33
Thus Traditional course has more dispersion in exam scores.
(d) For Traditional, IQR=Q3-Q1=79.5-67.25=12.25
For Flippeed, IQR=Q3-Q1=78.5-72=6.5
For Traditional, Q1-1.5*IQR=67.25-1.5*12.5=48.88, Here the new score 43 is below 48.88 , so 43 is an outlier.
(e) The lowest score 43 i.e. outlier decreases the mean to 70.6 from 72.3 but it does not affect the median.
Since mean is depends on all observations i.e. magnitude bue median is depends on position of observation.
Sample Mean Sample SD Min Q1 Median Q3 Max Traditional 72.3 2.73 60 67.25 70.5 79.5 86 Flipped 76.2 2.33 64 72 76 78.5 91Related Questions
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