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Black_prince [1.1K]
4 years ago
11

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

a on your own paper, calculator, or StatCrunch. Then, describe the the graph in a sentence or two. Be sure to communicate in your answer how to create the graph (be sure 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:
Alex4 years ago
7 0
The cumulative frequency table is shown below. 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 value
Range 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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Answer:

The numbers are 91 and 81

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Let:

x be the first number.

y be the second number.

The sum of two numbers is 172.

x + y = 172

Their difference is 10.

x - y = 10

Try to arrange for solving x:

x - y = 10

x = 10 + y

Now substitute the x to the first equation.

x + y = 172

(10 + y) + y = 172

10 + y + y = 172

10 + 2y = 172

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Now let's check one more time:

The sum of two numbers is 172:

91 + 81 = 172

172 = 172 (correct)

Their difference is 10:

91 - 81 = 10

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