Normal Distributions

Assessment
•
Karen Wilson
•
10th - 12th Grade
•
56 plays
•
Hard
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10 questions
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1.
Multiple Choice
The distribution of household incomes in a small town is strongly skewed to the right. The mean income is $42,000 and the standard deviation is $24,000. The Ames family’s household income is $60,000. The z-score for the Ames family’s income is
-0.75
0.3
0.75
0.86
None of these, because z-score cannot be used unless the distribution is Normal
2.
Multiple Choice
Jack and Jill are both enthusiastic players of a certain computer game. Over the past year, Jack’s mean score when playing the game is 12,400 with a standard deviation of 1500. During the same period, Jill’s mean score is 14,200, with a standard deviation of 2000. They devise a fair contest: each one will play the game once, and they will compare z-scores. Jack gets a score of 14,000, and Jill gets a score of 16,000. Who won the contest, and what were each of their z-scores?
Jack’s z = 1.07; Jill’s z = 1.11; Jill wins the contest
Jack’s z = 1.07; Jill’s z = 0.90; Jack wins the contest
Jack’s z = 0.94; Jill’s z = 1.11; Jill wins the contest
Jack’s z = 0.94; Jill’s z = 0.90; Jack wins the contest
Jack’s z = 0.81; Jill’s z = 0.99; Jill wins the contest
3.
Multiple Choice
If 30 is added to every number on a list, the only one of the following that is not changed is
the mean.
the mode.
the 75th percentile.
the median.
the standard deviation.
4.
Multiple Choice
Which of the following dot plots would best be approximated by a Normal distribution?
A
B
C
D
E
5.
Multiple Choice
Birthweights at a local hospital have a Normal distribution with a mean of 110 oz. and a standard deviation of 15 oz. The proportion of infants with birthweights between 125 oz. and 140 oz. is about
0.136
0.270
0.477
0.636
0.819
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