Lesson 6 Different Combinations Practice Understanding

Ready

One hundred forty-four college freshmen were given a math placement exam with possible points. The results show that different scores were earned, ranging from to . The scores were grouped in intervals as shown in the table:

Score interval

Midpoint of interval

Frequency of interval

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  1. Make a histogram of the grouped data in the chart. (Note: The midpoint of each cell is given in the horizontal axis. The sides of the cells will match the score interval. Frequency is the vertical height.)

  2. Locate the midpoint at the top of each cell in your histogram and connect each consecutive midpoint with straight line segments. The resulting figure is called a frequency polygon. If you smooth the line segments out into a smooth curve, you will create a frequency curve. Make a frequency curve on your histogram. It should look something like the figure.

Graph of histogram with different color bars and frequency curve.
blank graph for histogram, horizontal axis with 5-unit increments and vertical axis with 4-unit increments 0481216202428253035455055606570758085909540

Set

Find functions and so that .

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Go

Use the laws of logarithms to write each logarithmic expression as the sum or difference of logarithms. Express powers as factors.

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Use the laws of logarithms to write each logarithmic expression as a single logarithm.

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