MATH 20 - Chapter 7 and 9 - Graphs, Averages, Area and Perimeter

Use the graph provided to answer the questions. Show any calculations you perform and include units with your answers.

1. Refer to the following bar graph which shows the height of several lighthouses along the Oregon Coast.

   1. What lighthouse in the graph is the tallest?
   2. What lighthouse in the graph has the shortest height?
   3. How much taller is the Tillamook Rock Lighthouse than Cape Arago Lighthouse?
   Download SVG

2. Refer to the pictograph below.

   1. How much money was spent on tacos at the San Diego stand?
   2. How much money was spent on tacos at the Los Angeles stand?
   3. How much more money did people in Los Angeles spend than people in Encinitas?
   Download SVG
3. Refer to the circle graph below.
   1. Roughly 60,360,000 people in the US speak a language other than English in the home. What percentage of these speak either Chinese or Spanish?
   2. What percentage speak another language that is not Spanish?
   3. How many people speak French in the home?
   Download SVG

4. Refer to the line graph below. Two bikers go on a bike tour. Biker 1 starts out much faster than Biker 2.

   1. On what days did Biker 1 stop to rest while Biker 2 kept riding?
   2. Which biker traveled further by the end of day 4?
   3. Which biker traveled the furthest by the end of the tour?
   Download SVG

Instructor Notes:

This is a group activity. The idea is to allow students to move the numbers around to put them in order and identify the middle number (good for kinesthetic learners). You might also have them read the problems out loud to each other, which is good for auditory learners.

There should be card sets located with the manipulatives at your campus. Each group should get 9 numbers: 16, 15, 16, 18, 15.1, 12.34, 11, 19, 16.5

The data is also included in the appendix if needed. You should print out enough sets so that each group of 2-3 has their own data set. Print enough worksheets for each student. You can also make your own data set.

1. Get a set of data cards for your group. Spread the numbers out and place them in order from smallest to largest. There are ________ numbers. When you are finished, write down your ordered list below:

2. Which number is the "middle" number? If you have an odd number of numbers, the middle number is called the median.

   The median of this set is __________

3. Is there a most frequent number? If so, this number is called the mode.

   The mode of this set is__________

4. What is the mean (average) of this set? You may use your calculator.

   The mean of this set is__________

5. Now, turn the numbers over, mix them up and remove one of the numbers. Turn the numbers over, put them in order (least to greatest) and write your list of numbers below:

   • What is the median of this set?
   • What is the mode of this set?
   • What is the mean of this set?

6. Data was collected on the number of hours slept by college students in a class of 9 people. The data is listed below:

   6.0, 9.0, 4.5, 5.5, 6.0, 9.0, 7.0, 4.5, 5.75

   Find the mean, median and mode of the data. You may use your calculator for the mean.

7. Find the median of the fractions 5 6 , 11 12 , 7 8 , and  3 4 MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0de9Gq=Je9 qspeea0xd9qs=xfrVkFHe9peei0dXdar=Jb9qqFfea0lrP0xe9Fve9 Fve9GapdbaqaaeGaciGaaiaabeqaamaabaabaaGcbaWaaSaaaeaaca aI1aaabaGaaGOnaaaacaGGSaWaaSaaaeaacaaIXaGaaGymaaqaaiaa igdacaaIYaaaaiaacYcadaWcaaqaaiaaiEdaaeaacaaI4aaaaiaacY cacaqGGaGaaeyyaiaab6gacaqGKbGaaeiiamaalaaabaGaaG4maaqa aiaaisdaaaaaaa@461B@ following the directions below:

   1. Find common denominators for all of the fractions.
   2. Order the fractions from smallest to largest.
   3. Since there is an even number of numbers, the median is the average of the middle two numbers.