Which is larger: the mean or the median?

Math 50 – Section #4.1 Name ____________________
Measures of the Center
Professor Jason Wang
1. The following data set represents the ride time of various roller coaster rides that
are made out of wood in Ohio.
63 90 90 93 105 120 140 193 250
Use this information to answer each of the following questions. Include the
correct units all your answers and round to 1 decimal place, where applicable.
(a) Find each of the following values:
Mean = Median = Mode =
(b) Based on the values of the mean and the median, how would you describe
the shape of the distribution of this data?
(c) Write a sentence to interpret each of the values you found in part (a):
• Mean:
• Median:
• Mode:
2. The histogram below represents the ages of all the winners of the “Best Actress”
category of the Academy Awards. Use the information to answer each of the
following questions.
(a) Describe the shape of the distribution
(b) Which is larger: the mean or the median?
(c) Which class contains the median of the data set?
3. The histograms for 4 different data sets are provided below. The mean and
median of the data sets are listed below in random order. Match each histogram
to its appropriate mean and median by writing the correct letter for that data.

(a) Mean = 68, Median = 75: (b) Mean = 45; Median = 45:
(c) Mean = 81, Median = 75: (d) Mean = 75; Median = 75:
4. The following data set represents the minim wages for 10 states in the Midwest,
as of April 3, 2014, where the units are in dollars ($).
8.25 7.50 7.25 7.25 7.25 7.25 7.25 7.95 7.40 7.25 7.25 7.25
Use this information to answer each of the following questions. Include the
correct units all your answers and round to 1 decimal place, where applicable.
(a) x = (b) Med = M = (c) Mode =

Strawberries

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