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Quantitative Literacy
Statistics

1
Statistics: Mean, Median, and Mode

Problem 1

Enrollment in college over a five-year period is shown by the following numbers. Find the mean enrollment over the five-year period. \[16,911,000\quad 17,272,000\quad 17,487,000\] \[17,759,000\quad 18,248,000\]

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Mr. Perez
Joshua cc
Joshua
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Lauren
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Cynthia
Problem 2

Enrollment in college over a five-year period is shown by the following numbers. Find the median enrollment over the five-year period. \[16,911,000\quad 17,272,000\quad 17,487,000\] \[17,759,000\quad 18,248,000\]

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Mr. Perez
Joshua cc
Joshua
Lauren cc
Lauren
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Cynthia
Problem 3

The selling prices of four hybrid cars were listed on hybridcars.com. \[\$23,063\quad \$31,700\quad \$28,600\quad \$24,650\]

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Julieta
Joshua cc
Joshua
Lauren cc
Lauren
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Cynthia
Problem 4

A math class with \(18\) students had the grades shown below on their first test. Find the mean, the median, and the mode.
\(77 \quad 87 \quad 100 \quad 65 \quad 79 \quad 87 \quad 79 \quad 85 \quad 87\\ 95 \quad 56 \quad 87 \quad 56 \quad 75 \quad 79 \quad 93 \quad 97 \quad 92\)

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Lauren
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Mr. Perez
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Aaron
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David
Problem 5

Find the range of the test scores.

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Mr. Perez
Joshua cc
Joshua
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Lauren
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Cynthia

2
Displaying Information

Problem 1

A group of coworkers have decided to have a hot dog eating contest. Use a stem-and-leaf diagram to display the results of the contest shown here.

12, 15, 25, 33, 9, 14, 26, 29, 5, 10, 12, 20, 23, 15, 6, 21, 10, 7, 12, 18, 12, 10

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Mr. Perez
Joshua cc
Joshua
Lauren cc
Lauren
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Cynthia
Problem 2

A group of 20 college students was asked to indicate how many hours they spent on social media today. The results are listed below.  Use the results to construct a frequnecy table.

2, 6, 10, 3, 1, 0, 5, 8, 0, 2, 3, 5, 7, 9, 0, 3, 7, 2, 1, 10

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Mr. Perez
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Joshua
Lauren cc
Lauren
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Cynthia
Problem 3

The data here show the critical reading SAT scores for a group of 20 incoming college freshmen. Construct a histogram from the data.

710  598  615  494 625  700  542  572  472  694700542572472694610  488  642  583  649  720  496  583  627  678

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Mr. Perez
Joshua cc
Joshua
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Cynthia
Problem 4

The data here show the ACT scores for a group of 18 incoming college freshmen. Find the first, second, and third quartiles.

20 31 25 22 30 28 32 21 27

30 23 30 25 31 23 20 23 26

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Mr. Perez
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Joshua
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Cynthia
Problem 5

The data here shows the ACT scores for a group of \(18\) incoming college freshmen. Construct a box-and-whisker plot from the data. \[20 \quad 31 \quad 25 \quad 22 \quad30 \quad 28 \quad 32 \quad 21 \quad 27\] \[30 \quad 23 \quad 30 \quad 25 \quad31 \quad 23 \quad 20 \quad 23 \quad 26\]

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Mr. Perez
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Joshua
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Cynthia
Problem 6

The pie chart shows where a group of freshmen students live. Use the pie chart to answer the following questions:

  1. Find the total number of students surveyed.

  2. Find the ratio of those living in the dorms to the total surveyed.

  3. Find the ratio of those living in their parents’ homes to those living in apartments.

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Stephanie
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Joshua
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Mr. Perez
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Cynthia
Problem 7

The pie chart shows the market share for different digital movie companies.

  1. How many people in the survey stream digital movies from Netflix?

  2. How many people stream their digital movies from Apple and Comcast combined?

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Stephanie
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Joshua
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Cynthia
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Mr. Perez

3
Measures of Dispersion, Variance, and Standard Deviation

Problem 1

Employee experience. Find the variance for the bakery day shift employees and night shift employees data discussed earlier in this section.

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Julieta
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Julieta
Problem 2

Railroad Crossings. Thee table in your text shows the number of vehicle-train collision fatalities (deaths) at railroad crossings in the United States for the years 2010 through 2017. Find the standard deviation for the data.

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Julieta
Julieta
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Julieta
Problem 3

For the test score data used previously in this section, find the variance and the standard deviation.

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Mr. Perez
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Octabio
Julieta cc
Julieta
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Octabio

4
The Normal Distribution

Problem 1

A normal distribution has a mean of 10 and a standard deviation of 2. Sketch the graph of the distribution and then shade the area under the curve between 10 and 14.

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Mr. Perez
Logan
Logan
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Julieta
Problem 2

Find the area of the shaded region in each normal distribution.

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Mr. Perez
Joshua
Joshua
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Julieta
Problem 3
example image
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Mr. Perez
Logan
Logan
Julieta cc
Julieta
Problem 4

Find the probablity that someone taking SAT in that year has a score
a. between 510 and 620.
b. below 620.
c. above 620.

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Mr. Perez
Joshua
Joshua
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Julieta
Problem 5

Find the probability that someone taking the GED in that year has a score.
a. between 500 and 634.
b. below 624.
c. above 624.

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Logan
Logan
Julieta cc
Julieta
Problem 6

A coin tossed \(100\) times, use normal distribution to find the probability of getting between \(55\) and \(65\) heads.

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Joshua
Joshua
Julieta cc
Julieta

5
Data Science, The Scientific Method, and Cleaning Data

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6
Test & Summary

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