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GrogVix [38]
3 years ago
5

The following is a frequency data set for tests scores in a small class. Construct a cumulative frequency plot displaying the da

ta on your own paper,calculator or StatCrunch. Then describe the graph in a sentence or two.Be sure to communicate in your answer how to create the graph and to include what the cumulative frequencies are.
Test scores:
40-49:1
50-59:2
60-69:2
70-79:7
80-89:9
90-99:5
Mathematics
1 answer:
egoroff_w [7]3 years ago
8 0
 The value of cumulative frequency is the sum of all previous frequencies. We should have 26 at the end of the table because all frequency add up to 26
To graph the cumulative frequency, we would need the plots.
Use the end of value range against the cumulative frequency valueRange 40-49, use the value 49 against the cumulative frequency 1
(49, 1)(59, 3)(69, 5)(79, 12)(89, 21)(99, 26)
Plot these on graph and connect them as a curve.
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Explanation:

<h3>Part 1.</h3>

The inverse of a function y = f(x) can be found by solving x = f(y) for y.

When we do that here, we find ...

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When we compare this to g(x), which we want to be the inverse of f(x), we see that ...

  cx -d = bx -a   ⇒   b=c, and d=a

We can choose a=d=1 and b=c=2 to make the two functions inverses:

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<h3>Part 2.</h3>

The inverse of f(x) is g(x) if f(g(x)) = x.

  f(g(x)) = ((2x -1) +1)/2 = 2x/1 = x . . . . . g is the inverse of f

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<h3>Part 3.</h3>

Same as Part 2, but in reverse.

  g(f(x)) = 2((x +1)/2) -1 = (x +1) -1 = x

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<h3>Part 4.</h3>

The attachment is a graph of the two functions and a table of values. The line y=x is the dashed orange line. You will notice that f(x) and g(x) are reflections of each other across that line.

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