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A data set of 27 different numbers has a mean of 33 and a median of 33. A new data set is created by adding 7 to each number in the original data set that is greater than the median and subtracting 7 from each number in the original data set that is less than the median. Which of the following measures does NOT have the same value in both the original and new data sets?
Math
Problem-Solving and Data Analysis
Which of the following is true about the values of $2^{X}$ and
$2x+2$ for $x>0$?
Math
Problem-Solving and Data Analysis
$\begin{tabular}{|c|c|c|} \hline
**Value** & **Data set A frequency** & **Data set B frequency** \\ \hline
30 & 2 & 9 \\ \hline
34 & 4 & 7 \\ \hline
38 & 5 & 5 \\ \hline
42 & 7 & 4 \\ \hline
46 & 9 & 2 \\ \hline \end{tabular}$
Data set A and data set B each consist of **27** values. The table shows the frequencies of the values for each data set. Which of the following statements best compares the means of the two data sets?
Math
Problem-Solving and Data Analysis
For the finale of a TV show, viewers could use either social media or a text message to vote for their favorite of two contestants. The contestant receiving more than 50% of the vote won. An estimated 10% of the viewers voted, and 30% of the votes were cast on social media. Contestant 2 earned 70% of the votes cast using social media and 40% of the votes cast using a text message. Based on this information, which of the following is an accurate conclusion?
Math
Problem-Solving and Data Analysis
A park ranger asked a random sample of visitors how far they hiked during their visit. Based on the responses, the estimated mean was found to be 4.5 miles, with an associated margin of error of 0.5 miles. Which of the following is the best conclusion from these data?
Math
Problem-Solving and Data Analysis
The cost of a certain shirt is $20 before a 5% sales tax is added. What is the total cost, including sales tax, to purchase the shirt?
Math
Problem-Solving and Data Analysis
$\begin{tabular}{|c|c|} \hline $X$ & $Y$ \\ \hline
1 & 4 \\ \hline
3 & 12 \\ \hline
5 & 20 \\ \hline
40 & $k$ \\ \hline \end{tabular}$ In the table above, the ratio of $y$ to $x$ for each ordered pair is constant. What is the value of $k$ ?
Math
Problem-Solving and Data Analysis
What percentage of 300 is 75?
Math
Problem-Solving and Data Analysis
The mean and the median of the five numbers above are equal. Which of the following is NOT a possible value of $x$ ?
Math
Problem-Solving and Data Analysis
The results of two independent surveys are shown in the table below.
Men's Height
$\begin{tabular}{|c|c|c|c|} \hline Group & Sample size & Mean (centimeters) & Standard deviation (centimeters) \\ \hline A & 2,500 & 186 & 12.5 \\ \hline B & 2,500 & 186 & 19.1 \\ \hline \end{tabular}$
Which statement is true based on the table?
Math
Problem-Solving and Data Analysis
For a school fund-raiser, 10 students sold a total of 90 boxes of cookies. Which of the following can be calculated from this information?
Math
Problem-Solving and Data Analysis
In a bag, there are 7 red, 4 white, 33 blue, and 33 yellow cubes. If one of these cubes is selected at random, what is the probability of selecting a cube that is neither blue nor yellow?
Math
Problem-Solving and Data Analysis
$\begin{tabular}{|c|c|c|} \hline & Has bicycle paths & Does not have bicycle paths \\ \hline Has camping facilities & 20 & 5 \\ Does not have camping facilities & 8 & 4 \\ \hline \end{tabular}$
If one of these state parks is selected at random, what is the probability that it has camping facilities but does not have bicycle paths?
$\begin{tabular}{|c|c|} \hline
Math
Problem-Solving and Data Analysis
A study was done on the weights of different types of fish in a pond. A random sample of fish were caught and marked in order to ensure that none were weighed more than once. The sample contained 150 largemouth bass, of which 30% weighed more than 2 pounds. Which of the following conclusions is best supported by the sample data?
Math
Problem-Solving and Data Analysis
A survey taken by 1,000 students at a school asked whether they played school sports. The table below summarizes all 1,000 responses from the students surveyed.
$\begin{tabular}{|l|c|c|} \hline & Males & Females \\ \hline Play a school sport & 312 & 220 \\ \hline Do not play a school sport & ? & 216 \\ \hline \end{tabular}$
How many of the males surveyed responded that they do not play a school sport?
Math
Problem-Solving and Data Analysis
A wind turbine completes 900 revolutions in 50 minutes. At this rate, how many revolutions per minute does this turbine complete?
Math
Problem-Solving and Data Analysis
Data set A: _12_, _13_, _13_, _16_, _16_
Data set B: 61, 64, 74, 85, $x$
Data set A and data set B each contain 5 numbers. If the mean of data set A is equal to the mean of data set B, what is the value of $x$ ?
Math
Problem-Solving and Data Analysis
The population density of Worthington is 290 people per square mile. Worthington has a population of 92,800 people. What is the area, in square miles, of Worthington?
Math
Problem-Solving and Data Analysis
The manager of an online news service received the report above on the number of subscriptions sold by the service. The manager estimated that the percent increase from 2012 to 2013 would be double the percent increase from 2013 to 2014. How many subscriptions did the manager expect would be sold in 2014?
Math
Problem-Solving and Data Analysis
In a box of pens, the ratio of black pens to red pens is 8 to 1. There are 40 black pens in the box. How many red pens are in the box?
Math
Problem-Solving and Data Analysis
What was the percent increase of the minimum wage from 1960 to 1970?
Math
Problem-Solving and Data Analysis
$\begin{tabular}{|c|c|} \hline Voice type & Number of singers \\ \hline Countertenor & 4 \\ \hline Tenor & 6 \\ \hline Baritone & 10 \\ \hline Bass & 5 \\ \hline \end{tabular}$
A total of 25 men registered for singing lessons. The frequency table shows how many of these singers have certain voice types. If one of these singers is selected at random, what is the probability he is a baritone?
Math
Problem-Solving and Data Analysis
The table above shows the number of students from two different high schools who completed summer internships in each of five years. No student attended both schools. Of the students who completed a summer internship in 2010, which of the following represents the fraction of students who were from Valley High School?
\begin{tabular}{l l} \hline \hline \multicolumn{1}{c}{
Math
Problem-Solving and Data Analysis
The data on the coat color and eye color for 48 Himalayan kittens available for adoption were collected and summarized in the table above. What fraction of the chocolate-colored kittens has deep blue eyes?
$\begin{tabular}{l l l}
12 & 48 \\
2. & 28 \\
3. & 22 \\
4. & 32 \\
5. & 12 \\
6. & 16 \\
7. & 16 \\
\end{tabular}$
$\begin{tabular}{l l l l}
12 & 48 \\
2. & 28 \\
3. & 28 \\
4. & 32 \\
5. & 16 \\
6. & 16 \\
7. & 16 \\
8. & 16 \\
9. & 16 \\
10. & 16 \\
1
Math
Problem-Solving and Data Analysis
**4, 4, 4, 4, 8, 8, 8, 13, 13**
Which frequency table correctly represents the data listed?
$\begin{tabular}{|c|c|c|} \hline
Math
Problem-Solving and Data Analysis
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