T102 - MATH FOR ELEMENTARY TEACHERS

CHAPTER 8 - REVIEW

 

The following represent the grades of three exams from a class of 16 students.

Exam I:     60    91    90    89    85    89    90    98    83    85    86    86    75    80    83    69

Exam II:   76    75    86    77    54    65    56    65    84    60    78    62    78    86    83    65   

Exam III:  87    68    67    64    71    77    64    61    71    96    88    70    71    61    84    97

 

1.       Use the test scores for exam I and II to draw a back to back stem and leaf with the stems defined to be the tens digit.

 

2.       Make a grouped frequency table for the scores of exam II using the lowest score to start the first class and make 5 classes.

 

3.       Use the grouped frequency table from the preceding problem to draw a histogram.

 

4.       Using letter grades as categories, that is A = 90 - 100, B = 80 - 89, etc, make a grouped frequency table for:

 

          a)  The scores of exam II.                b)  The scores of exam III.

 

c)  Use the frequency tables from parts (a) and (b) to draw a double bar graph to

     compare grades of exams II and III.

 

          d)  Use the frequency table from part (a) to draw a circle graph of the data of exam

      II.

 

5.       Use the scores from exam I to:

 

          a)  Draw a line plot.                

 

  b)  Draw a box and whisker graph and determine if there are any outliers.

 

6.       The following are the weights in kilograms of Mr. Brown's class: 

 

  28  25   24    27    32    35

 

          a)  Find the range.           b)  Find the mean.             c)  Find the median. 

 

 d)  Find the mode.           e)  Find the variance.        f)  Find the standard deviation.

 

7.       Given the above box and whisker graph.

         

          a)  Find the median.         b)  Find the first quartile.   c)  Find the third quartile. 

 

d)  Find the interquartile range.                e)  Provide a set of data that fits this box plot.

 

f)  By looking at the box plot what can you conclude about the data?

 

 

8.       The mean age of the 6 women in a class is 23.  The mean age of the 10 men in the same class is 26.  What is the mean age of the 16 students in the class?

 

9.       The mean age of 15 students in a room is 20 years.  A 40 years old person walks in.  What is the mean age of the persons in the room now?

 

10.     The mean age of the members of a family of 5 is 25.  What will the mean age of the same family of five be 3 years from now?

 

11.     The mean average for Ann's 5 test scores was 62.5.  How much will a score of 100

   increase her mean average?

 

12.      Amy scored on the 99th percentile on her Math test.  What is the meaning of this?

 

13.      Ann has $100.  She spends $50 in toys, $25 in books, $20 in clothes and the

   remainder in candy.  Draw a circle graph to indicate how money is spent.

 

14.      Draw a scattergram for the following information:

 

           Grade in placement test  number of grade in

                For M117                        students            M117

                     A                                             2                   A,B

                     B                                     3                    A,B,B

                     C                                             4                   B,C,D,D

                     D                                             1                   F

 

           On the vertical axis plot the grade in the class. 

           On the horizontal axis plot the grade in placement test.

           What kind of correlation exists?

 

15.       The mean age of members of a class reunion was 73.8.  The next year the mean age

    was 72.9 years.  How can the mean age decrease when all the class members are a

    year older?

 

16.       At a certain store the average weekly wage for full-time workers is $250, the

    average weekly wage for part-time workers is $100 and the total weekly payroll is

    $5750.  If there are 15 full-time employees, how many part-time employees are

    there?

 

17.       Use the figure to answer the question.

 

                                Marriage Licenses Issued

                                (Each circle represents 20,000 licenses)

 


                                March             

                                  

April                  

                                  

May        

                                  

June         

                                  

July          

                                  

August     

 

                             In which month are the most licenses issued and how many are issued?

 

 

 

 

18.       The midterm test scores for the seventh-period typing class are shown below on a    

             line plot.

 

                                                                                                  x                   x

                                                                    x               x     x    x             x x x                     x

             x                                         x    x x x    x x    x x    x x x x    x x x x x x                  xx

                                                                                                                                                       

          50            55            60           65           70           75           80           85           90           95       100       

 

            a)  What are the outliers?

 

            b)  What are the high and low scores?

 

            c)  What is the most frequent score?

 

 

The following scatterplot shows the heights (in inches) of a group of children and their ages.

 

19.

           Height (inches)

                       

       50

                                             ●       

       45                                ● 

                                          

       40                        ●

                                      ●         

       35                     ●

                            ●

       30              ●

                     ●    

       25         ●

         

       20                                                             a)  From this data, conjecture how old you

                                                                             think a child is who is 39 inches tall?

       15

                                                                       b)  What type of correlation is there for this

       10                                                                  data?

 

         5

 


                       1    2    3    4    5    6    7

                        

                               Age (years)

 

20.       "38% of adults in the United States regularly visit a doctor".  This conclusion was

             reached by a college student after she had questioned 520 randomly selected

             member of her college.  What is wrong with her survey?

 

21.       "7 out of 10 dentists recommend Brand X toothpaste".  This finding is based on the

     results of a survey of 10 randomly selected dentists.  What is wrong with this

     survey?