AP Statistics Quiz 2.1
1.
Name:
For more than a century, doctors have been telling patients that a normal body temperature is 98.6 F. This value
dates back to a study done by Carl Wunderlich in the mid-1800s. More recently, researchers conducted a study to
determine whether the “accepted” value for normal body temperature is accurate. They collected body temperatures
(in degrees Celsius) from 130 healthy individuals. A dotplot and numerical summaries of the data are given below.
(a) Mr. Withey’s temperature is at the 20th percentile of the distribution. Interpret this value in context.
(b) What was Mr. Withey’s temperature?
Use the fact that ºF = (9/5)(ºC) + 32 to help you answer the following questions.
(c) Find the mean temperature in degrees Fahrenheit. What does this suggest about the value of the “normal” body
temperature?
(d) Calculate the standard deviation of the temperature readings in degrees Fahrenheit.
Starnes/Tabor, Updated Version of The Practice of Statistics, 6/e
© 2020 BFW Publishers Inc.
2. The cumulative relative frequency graph below shows the distribution of lifespans for 39 U.S. presidents.
(a) What is the median lifespan for U.S. presidents? Mark directly on the graph to show how you arrived at your
answer.
(b) The mean lifespan is 71.45 years, and the standard deviation is 12.35 years. President Ronald Reagan lived to be
93 years old. Calculate and interpret his z-score.
(c) The mean lifespan is 71.45 years, and the standard deviation is 12.35 years. Mr. Rodriguez would like to know
how many days, on average, presidents tend to live beyond their 70th birthday. Find the mean and standard
deviation of the transformed data. Note: There are 365 days in a year.
Starnes/Tabor, Updated Version of The Practice of Statistics, 6/e
© 2020 BFW Publishers Inc.