5.5 Problem Set

1) Here is some nutritional information about a few of the sandwiches on the McDonald's® menu.

Source: http://nutrition.mcdonalds.com. July 27, 2011.

Determine the median and the IQR for the following data regarding the McDonald's® sandwiches:

a) Calories from fat

b) Cholesterol

2) Analyze the calories for these McDonald's® sandwiches.

3) Analyze the sodium content further.

a) Construct a box plot for sodium.
Use the following site to help you: https://www.meta-chart.com/box-and-whisker#/data

b) Calculate the median and IQR for sodium (see example 4).

c) Calculate the mean and standard deviation for sodium (use a calculator).

Now remove the high outlier from the data.

d) Re-calculate the median and IQR for sodium with the Angus Bacon & Cheese data removed. Did either value change from part (b)?

e) Re-calculate the mean and standard deviation for sodium with the Angus Bacon & Cheese data removed. Did either value change from part (c)?

4) The following table shows the potential energy that could be saved by manufacturing each type of material using the maximum percentage of recycled materials, as opposed to using all new materials.

Source: National Geographic, January 2008. Volume 213 No., pg 82-

a) Calculate the five number summary and construct an accurate box plot for the Energy Saved data.

b) Use the outlier test to determine whether there are any outliers. Show your steps.

c) Calculate the mean and standard deviation for the Energy Saved data. How do the mean and the median compare?

d) Delete any outliers. Recalculate the five number summary, mean and standard deviation. Which values changed?

5) The Burj Dubai is the world’s tallest building. It is more than twice the height of the Empire State Building in New York. The chart lists 15 of the tallest buildings in the world.

6) The table shows the mean travel time to work (in minutes), for workers age 16+, for 16 cities in Minnesota. This is according to the U.S. Census website. Source: http://quickfacts.census.gov

a) Construct a box plot for the mean travel time for residents of these Minnesota cities.

b) Make a statement, in context, about what the 'box' part of the box plot tells you.

c) Describe the distribution. Remember your S.O.C.C.S! Identify any unusual values specifically.

7) Several game critics rated the Wow So Fit game, on a scale of 1 to 100 (100 being the highest). The results are presented in this stem plot:

a) Calculate the five number summary for the Wow So Fit data.

b) Construct a box plot for the data.

c) Describe this distribution.

d) Make a statement, in context, about what the "box" part of the box plot tells us.

Review Exercises

8) Read each of the criticisms below and determine whether the person making the statement is questioning the validity, the reliability, or the presence of bias in the test. Explain.

a) "The game critics get free copies of the games for their families. So, these ratings are inflated."

b) "The game critics have no set guidelines on which to use to critique the games. So, these ratings are meaningless."

c) "The game critics may give different ratings to the same game, when asked at different times. So, these ratings are inconsistent."

9) Construct a tree diagram that shows all possible outcomes, in regard to gender, of a family with three children.

10) Assuming that P(boy) = P(girl) = 0.5, find the following probabilities:

a) P(boy, girl, then boy)

b) P(exactly two girls)

c) P(at least one boy)

Image Attributions

• • [1]^ License: CC BY-NC 3.0

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  • [5]^ License: CC BY-NC 3.0

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  • [8]^ License: CC BY-NC 3.0

  • [9]^ License: CC BY-NC 3.0

  • [10]^ License: CC BY-NC 3.0

  • [11]^ License: CC BY-NC 3.0

  • [12]^ License: CC BY-NC 3.0

  • [13]^ License: CC BY-NC 3.0

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