dlengths for all three scoring systems b Comment on how thes

d\"lengths for all three scoring systems. b. Comment on how these measures of center a. L compare across the three scoring systems. Exercise 8-22: Hypothetical Exam Scores 7-12, 8-22, 8-23, 9-22, 10-22, 27-8 For each of the following properties, construct a dataset of ten hypothetical exam scores that satisfies the property. Also create a dotplot of your hypothetical dataset in each case. Assume that the exam scores are integers between 0 and

Solution

a) For 10 data values the only case when 90% of the scores is greater than the mean will be when all scores are same except for one which is less than the others

Mean = 2.9;

Median = 3 and Range = 1

Use this link to create the dot plot: http://tube.geogebra.org/m/13272

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b)

Median < (2/3) * Mean --> 3 < (2/3) * 8.6

Use this link to create the dot plot: http://tube.geogebra.org/m/13272

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c)

Mean is not equal to median and none of the scores is between them

Data
3
3
3
3
3
3
3
3
3
2
Mean = 2.9;