Describing Location in a Distribution

The Average yearly snowfall in Chilyville is normally distributed with a mean of 55 inches. If the snowfall in Chillyville exceeds 60 inches in 15% of the years, what is the standard deviation.

• 4.83 inches

• 5.18 inches

• 6.04 inches

• 8.93 inches

• The standard deviation cannot be computed from the given information.

Jorge's score on exam 1 in his statistics class was at the 64th percentile of the scores for all students. His score falls

• between the minimum and the first quartile .

• between the first quartile and the median.

• between the median and the third quartile.

• between the third quartile and the maximum.

• at the mean score for all students.

Scores on the ACT college entrance exam follow a bell-shaped distibution with mean 18 and standard deviation 6. Wayne's standardized score on the ACT was -.07. What was Wayne's actual ACT score?

• 4.2

• -4.2

• 13.8

• 17.3

• 22.2

If 30 is added to every observation in data set is multiplied by 10 the only one of the following that is not multiple by 10 is...

• The Mean

• The Median

• The IQR

• The Standard Deviation

• The Variance

Which of the following is least likely to have a nearly Normal distribution?

• Heights of all female students taking STAT 001 at State Tech.

• IQ scores of all students taking STAT 001 at State Tech.

• SAT Math scores of all students taking STAT 001 at State Tech.

• Family incomes of all students taking STAT 001 at State tech.

• All of above will be approximately normal.

About what percent of the cockroaches have weights between 76 and 84 grams?

• 99.7%

• 95%

• 68%

• 47.5%

• 34%

The proportion of observation from a standard Normal distribution with values less than 1.15 is...

• 0.1251

• 0.8531

• 0.8749

• 0.8944

• None of these.

Many professional schools require applicants to take a standardized test. Suppose that 1000 students take such a test. Several weeks after the test, Pete receives his score report: he got a 63, which placed him at the 73rd percentile. That means that...

• Pete's score was below the median.

• Pete did worse than about 63% of the test takers.

• Pete did worse than about 73% of test takers.

• Pete did better than about 63% of test takers.

• Pete did better than about 73% of test takers.

If the heights of American men follow a normal distribution, and 99.%have heights between 5'00'' and 7'00'', what is your estimate of the standard deviation of the height of American men?

• 1''

• 3''

• 4''

• 6''

• 12''

DEFINE: The conversion of observations from original values to standard deviation values. Used to compare observations from different distributions on a common scale.

• Standardizing

• Percentile

• Standardized Score

• Transforming Data

• Normal Distribution