Normal Distributions

Normal Distributions

Assessment

Assessment

Created by

Karen Wilson

10th - 12th Grade

56 plays

Hard

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10 questions

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1.

Multiple Choice

2 mins

1 pt

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

2 mins

1 pt

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

2 mins

1 pt

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

2 mins

1 pt

Media Image

Which of the following dot plots would best be approximated by a Normal distribution?

A

B

C

D

E

5.

Multiple Choice

2 mins

1 pt

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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