1. Consider a data set of 15 distinct measurements with mean A and median B . If
ID: 3021939 • Letter: 1
Question
1. Consider a data set of 15 distinct measurements with mean A and median B. If the highest number were increased, what would be the effect on the median and mean? Explain. If the highest number were decreased to a value still larger than B, what would be the effect on the median and mean? Explain. If the highest number were decreased to a value smaller than B, what would be the effect on the median and mean? Explain.
2. One indicator of an outlier is that an observation is more than 2.5 standard deviations from the mean. Consider the data value 80. If the data set has mean 70 and standard deviation 5, is 80 a suspect outlier? Explain. If the data set has mean 70 and standard deviation 3, is 80 a suspect outlier? Explain.
3. Clayton and Timothy took different sections of Introduction to Statistics. Each section had a different final exam. Timothy scored 83 out of 100 and had a percentile rank in his class of 72. Clayton scored 85 out of 100 but his percentile rank in his class was 70. Who performed better with respect to the rest of the students in the class, Clayton or Timothy? Explain.
Explanation / Answer
3) when we have to compare the students with different test the percentile measure is uder which measures the performance of each persons among the class with same test. high percentile means better performance and good result
hence in this question both clayton and timothy were give different test, though the claton scored 2 marks more then timothy but his percentile is less which means timothy performance is better among two.
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.