Scores on a state assessment test were averaged for all the schools in a particu

Question

Scores on a state assessment test were averaged for all the schools in a particular district, which were classified according to level (such as elementary, middle, or high school). a. Mean scores for elementary schools had 5.9 a mean of 1,228, and a standard deviation of 82. What would be the z-score for an elementary school whose mean score was 1,300? b. Mean scores for middle schools had a mean of 1,219, and a standard deviation of 91. What would be the z-score for a middle school whose mean score was 1,300? c. Mean scores for high schools had a mean of 1,223, and a standard deviation of 105. What would be the z-score for a high school whose mean score was 1,300? d. Explain why the z-scores in parts (a), (b), and (c) are quite similar. regrnmings in thousonds of dollers for the vear befo

Explanation / Answer

a) Mean = 1228

SD = 82

X = 1300

z = (1300 - 1228)/82 = 0.878

b) Mean = 1219

SD = 91

X = 1300

z = (1300 - 1219)/91 = 0.890

c) Mean = 1223

SD = 105

X = 1300

z = (1300 - 1223)/105 = 0.733

d) There are similar as when a mean is increased or decreased, SD is also changed both of which have an effect on 'z' score.Also, all of them lie within 1 SD from mean

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