Measures Handout Your teacher has a problem and needs your input. She has to giv
ID: 3032046 • Letter: M
Question
Measures Handout Your teacher has a problem and needs your input. She has to give one math award this year to a deserving student, but she can't make a decision. Here are the test grades for her two best students: Bryce: 90, 90, 80, 100, 99, 81,98, 82 Brianna: 90, 90, 91, 89, 91, 89, 90, 90 1) Find the five-number summary and the IQR for each student. 2) Based on these numbers, write down which of the two students should get the math award and discuss why they should be the one to receive it. 3) Calculate the mean (2) of Bryce's grade distribution. Calculate the mean deviation, variance, and standard deviation of Bryce's distribution. The formulas for mean absolute deviation, variance, and standard deviation are below. mean absolute deviation : MAD =-1xi-11 s2=-(x,- 71 variance: 2 standard deviation: s= (Xi-i)2 which is the square root of the variance 4) Fill out the table to help you calculate them by hand Mean Deviation Mean Absolute Variance Scores for Bryce (x) Deviation IX 90 90 80 100 81 98 82 Total mean-q0 MAD for Bryce:5f .7S Variance forBryce:470/f =612 s Standard deviation for Bryce:2S7. $26 Bryce's grades? vai ane 5) What do these measures of spread tell you about Bryce's grades? 7) Calculate the mean deviation, variance, and standard deviation of'Briamna's distribution. von So 6) Calculate the mean of Brianna's distribution Variance Mean Absolute Deviation It-il Mean Deviation (x,- Scores for Brianna (s) l | xi-Explanation / Answer
As the total amrks obtained forboth are same,the award will goes to the student having consistency in their scores. Obviously, deviation from mean for Brianna is less with respect to Bryce, henace Brianna should get the award.
and therefore your answer is absolutely correct.