1. Four brothers took an anthropology course from the same instructor during fou

Question

1. Four brothers took an anthropology course from the same instructor during four different years. The total points of each, along with the class parameters, are given below. Use z scores to determine who did the best.

Darren 314, m = 200, s = 100;

Nathan 517, m = 300, s = 200;

Joshua 214; m = 150, s = 50;

Nicholas 114, m = 100, s = 10.

2. Suppose a student has a z score of -1. This means she

scored well above the mean;

had a negative raw score;

scored 1 standard deviation below the mean;

had the lowest score in the group.

3. Suppose a student has a z score of -1. This means she

scored well above the mean;

had a negative raw score;

scored 1 standard deviation below the mean;

had the lowest score in the group.

Explanation / Answer

Darren :

Z = (314 - 200)/100 = 1.14

Nathan:
Z = (517 - 300)/200 = 1.085

Joshua:

Z = (214 - 150)/50 = 1.28

Nicholas:
Z = (114 - 100)/10 = 1,4

Nicholas did the beat

REASON: Zscore of Nicholas is the maximum.

2. Correct option:

scored 1 standard deviation below the mean

3. Correct option:

scored 1 standard deviation below the mean

(NOTE: Questions (b) & (c) are same.

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