SOLUTION: Given the following data representing exam scores by four groups of students; explain why group 3 would most likely have the highest individual student score on the exam and why g

Algebra ->  Probability-and-statistics -> SOLUTION: Given the following data representing exam scores by four groups of students; explain why group 3 would most likely have the highest individual student score on the exam and why g      Log On


   



Question 1182014: Given the following data representing exam scores by four groups of students; explain why group 3
would most likely have the highest individual student score on the exam and why group 1 would have
the smallest range of scores. (SD = Standard Deviation)
Class: 1 2 3 4
Mean: 76 68 73 70
SD: 2.7 7.5 6.2 3.1

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
Group 1 has the smallest sd, so it will likely have the smallest spread and the smallest range.
Group 3 has the second largest mean but also the second largest sd. One sd above the mean produces scores of 78.7, 75.5, 79.2, and 73.1
Two sd s above the mean, and the disparity only increases.