Stats Section 2.1 and 2.2

For this distribution of 52 students, what is the percentile for a height of 175?

• 75th

• 73rd

• 71st

• 69th

• 67th

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

• The number of days separating the fewest sick days taken and the most sick days taken when considering the middle 50 percent of the distribution

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.

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

What presidents' age is closest to the 75th percentile?

• 60

• 65

• 70

• 50

Calculate the standardized score (z-score) for a student who is 152cm tall. The mean of the population if 171.4cm and the standard deviation is 9.2cm.

• ≈ –2.1cm

• ≈ 2.1cm

• ≈ –2.1

• ≈ 2.1

The mean and standard deviation of AP Stats students' heights is 171.4cm and 9.2cm respectively. If 5cm is added to all student heights, how does this affect the standard deviation?

• It is now 14.2cm.

• It is now 4.2cm.

• It is still 9.2cm.

• It cannot be determined without knowing all the data values.

The area under a density curve is

If a density curve is skewed right, then the mean is

• higher than the median.

• lower than the median.

• equal to the median.

• greater than zero.

The mean of a density curve is the "balance point."

• True

• False

• This cannot be determined without the actual data.