Date: Section: Name: 2. The z scores for eight students\' statistics quiz grades
ID: 3071863 • Letter: D
Question
Date: Section: Name: 2. The z scores for eight students' statistics quiz grades are listed here: Adam: 1.22 Bob: 0.13 Ellen: 0.00 Carlos: -2.31 Gert: 2.14 Demetrio: -0.45 Harish: 0.67 Fran:-1.65 ? Defend your answer Which, if any, of these students had quiz grades above the mean a. b. Which,if any, of these students have quiz grades below the mean? Defend your answer. c. Which, if any, of these students have quiz grades equal to the mean? Defend your aswer. 021 001 d. Which, if any, of these students have unusually high quiz grades? Defend your answer. Which, if any, of these students have unusually low quiz grades? Defend your answer. e.Explanation / Answer
Solution:
Z value can be calculated as
Z = (Xbar-mean)/standrad deviation
Solution(1)
If Z score is +ve that means student quiz grades is above the mean, so Adam, Bob, Gert and Herish are the students who have student quiz grades above the mean.
Solution(2)
If Z score is -ve that mean student quiz grades is below the mean, so carlos, drametrio and fran are the students who have mean student quiz grades below the mean.
Solution(3)
If a student have z -socre =0 that mean student have quiz grades equal to zero, so Ellen is the student who have quiz grade equal to the mean.
Solution(4)
If any student have Z score >3 that student have unusually high quiz grades. so there is not any students who have unusaully high quiz grades. which mean that there is not any outliers.
Solution(5)
If any student have Z score < -3 that student have unusually low quiz grades. so there is not any students who have unusaully low quiz grades.
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