6. Given the following sample of n = 10 scores, for each individual score calculate the following: a) z-score b) a new standardized score with M = 50 and s = 12

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6. Given the following sample of n = 10 scores, for each individual score calculate
the following:
a) z-score
b) a new standardized score with M = 50 and s = 12
X
37.521
48.174
61.87
35.999
55.783
37.521
46.652
43.608
63.392
69.479
X
37.521
48.174
61.87
35.999
55.783
37.521
46.652
43.608
63.392
69.479
z-score Standardized Score
Transcribed Image Text:6. Given the following sample of n = 10 scores, for each individual score calculate the following: a) z-score b) a new standardized score with M = 50 and s = 12 X 37.521 48.174 61.87 35.999 55.783 37.521 46.652 43.608 63.392 69.479 X 37.521 48.174 61.87 35.999 55.783 37.521 46.652 43.608 63.392 69.479 z-score Standardized Score
Expert Solution
Step 1

From the given information:

X
37.521
48.174
61.87
35.999
55.783
37.521
46.652
43.608
63.392
69.479
X=499.999

 

X¯=Xn=499.99910=49.9999

X X-X¯2
37.521 155.7229
48.174 3.333911
61.87 140.8993
35.999 196.0252
55.783 33.44425
37.521 155.7229
46.652 11.20843
43.608 40.85639
63.392 179.3483
69.479 379.4353
  X-X¯2=1295.997

s=X-X¯2n-1=1295.99710-1=11.9999

 

 

 

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