APS Standard Deviation, %tile, z-scores

Research indicates that the standard deviation of typical human body temperature is 0.4 degree Celsius (C). Which of the following represents the standard deviation of typical human body temperature in degrees

Fahrenheit (F), where F = (9/5)C + 32 ?

• 9/5(0.4) + 32

• 9/5(0.4)

• 9/5(0.4)²

• (9/5)²(0.4)

• (9/5)²(0.4)²

A company determines the mean and standard deviation of the number of sick days taken by its employees in one year. Which of the following is the best description of the standard deviation?

• Approximately the mean distance between the number of sick days taken by individual employees and the mean number of sick days taken by all employees

• Approximately the median distance between the number of sick days taken by individual employees and the median number of sick days taken by all employees

• The distance between the greatest number of sick days taken by an employee and the mean number of sick days taken by all employees

• The number of days separating the fewest sick days taken and the most sick days taken when considering all employees

• Thenumberofdaysseparatingthefewestsickdaystakenandthemostsickdaystakenwhenconsidering the middle 50 percent of the distribution

The random variable X is normally distributed with mean 5 and standard deviation 25. The random variable Y is defined by Y = 2 + 4X. What are the mean and the standard deviation of Y ?

• The mean is 20 and the standard deviation is 102.

• The mean is 20 and the standard deviation is 50.

• The mean is 22 and the standard deviation is 102.

• The mean is 22 and the standard deviation is 100.

• The mean is 22 and the standard deviation is 50.

What is the percentile for a height of 175?

• 75th

• 73rd

• 71st

• 69th

• 67th

Bill's z-score for his time in the 100 meter race is z= –1.56. Sam's z-score for the same race is z= –1.34. Which runner is faster?

• Bill

• Sam

• Not enough information.

Tags

CCSS.HSS.ID.A.4