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 =