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277 items match · Math · Problem-Solving and Data Analysis

Medium Math · Problem-Solving and Data Analysis · One-variable data: Distributions and measures of center and spread · MCQ figure

The mean and the median of the five numbers above are equal. Which of the following is NOT a possible value of ?

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Easy Math · Problem-Solving and Data Analysis · Percentages · MCQ

What percentage of 300 is 75 ?

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Hard Math · Problem-Solving and Data Analysis · One-variable data: Distributions and measures of center and spread · SPR

Data set A consists of 10 positive integers less than 60 . The list shown gives 9 of the integers from data set A.

43 , 45 , 44 , 43 , 38 , 39 , 40 , 46 , 40

The mean of these 9 integers is 42 . If the mean of data set A is an integer that is greater than 42 , what is the value of the largest integer from data set A?

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Easy Math · Problem-Solving and Data Analysis · Ratios, rates, proportional relationships, and units · MCQ figure

In the table above, the ratio of y to x for each ordered pair is constant. What is the value of k ?

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Easy Math · Problem-Solving and Data Analysis · Percentages · MCQ figure

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?

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Medium Math · Problem-Solving and Data Analysis · Two-variable data: Models and scatterplots · MCQ figure

In the given scatterplot, a line of best fit for the data is shown.

  • The scatterplot has 10 data points.
  • The data points are in a linear pattern trending down from left to right.
  • A line of best fit is shown:
  • The line of best fit slants down from left to right.
    • 5 points are touching the line of best fit.
    • 2 points are above the line of best fit.
    • 3 points are below the line of best fit.
    • The line of best fit passes through the following approximate coordinates:
      • (1 comma 7)
      • (4 comma 5)
      • (10 comma 1)

Which of the following is closest to the slope of this line of best fit?

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Medium Math · Problem-Solving and Data Analysis · Inference from sample statistics and margin of error · MCQ figure

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?

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Medium Math · Problem-Solving and Data Analysis · Percentages · MCQ

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?

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Hard Math · Problem-Solving and Data Analysis · One-variable data: Distributions and measures of center and spread · MCQ
Value Data set A frequency Data set B frequency
30 2 9
34 4 7
38 5 5
42 7 4
46 9 2

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?

Open
Medium Math · Problem-Solving and Data Analysis · Two-variable data: Models and scatterplots · MCQ figure

Which of the following is true about the values of 2 to the x power and 2 x plus 2 for x greater than 0?

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Hard Math · Problem-Solving and Data Analysis · One-variable data: Distributions and measures of center and spread · MCQ

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?

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Hard Math · Problem-Solving and Data Analysis · Ratios, rates, proportional relationships, and units · MCQ figure

One method of calculating the approximate age, in years, of a tree of a particular species is to multiply the diameter of the tree, in inches, by a constant called the growth factor for that species. The table above gives the growth factors for eight species of trees. If a white birch tree and a pin oak tree each now have a diameter of 1 foot, which of the following will be closest to the difference, in inches, of their diameters 10 years from now? (1 foot = 12 inches)

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Easy Math · Problem-Solving and Data Analysis · Probability and conditional probability · MCQ

The table gives the distribution of votes for a new school mascot and grade level for 80 students.

Mascot Grade level
Sixth Seventh Eighth Total
Badger 4 9 9 22
Lion 9 2 9 20
Longhorn 4 6 4 14
Tiger 6 9 9 24
Total 23 26 31 80

If one of these students is selected at random, what is the probability of selecting a student whose vote for new mascot was for a lion? 

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Easy Math · Problem-Solving and Data Analysis · Ratios, rates, proportional relationships, and units · MCQ figure

The ratio of t to u is 1 to 2, and t equals 10. What is the value of u ?

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Medium Math · Problem-Solving and Data Analysis · Percentages · MCQ figure

During the first month of sales, a company sold 1,300,000 units of a certain type of smartphone. During the same month, 15% of the units sold were returned. If sales and the return rate remain the same for each of the next 5 months, about how many units of this smartphone will be returned to the company during this 6-month period?

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Easy Math · Problem-Solving and Data Analysis · Percentages · MCQ

Last year, 200 students enrolled in an interior design program. This year, the number of students enrolled is 147% of last year’s number. How many students are enrolled in the interior design program this year?

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Medium Math · Problem-Solving and Data Analysis · Two-variable data: Models and scatterplots · MCQ figure

The scatterplot shows the relationship between two variables, x and y . A line of best fit is also shown.

  • The scatterplot has 10 data points.
  • The data points are in a linear pattern trending down from left to right.
  • A line of best fit is shown:
    • The line of best fit slants down from left to right.
    • 2 points are touching the line of best fit.
    • 3 points are above the line of best fit.
    • 5 points are below the line of best fit.
    • The line of best fit passes through the following approximate coordinates:
      • (0 comma 12.9)
      • (6 comma 8)
      • (12 comma 3.2)

Which of the following is closest to the slope of the line of best fit shown?

Open
Easy Math · Problem-Solving and Data Analysis · Probability and conditional probability · MCQ

Each rock in a collection of 70 rocks was classified as either igneous, metamorphic, or sedimentary, as shown in the frequency table.

Classification Frequency
igneous 10
metamorphic 33
sedimentary 27

If one of these rocks is selected at random, what is the probability of selecting a rock that is igneous?

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Medium Math · Problem-Solving and Data Analysis · Evaluating statistical claims: Observational studies and experiments · MCQ

A survey was conducted using a sample of history professors selected at random from the California State Universities. The professors surveyed were asked to name the publishers of their current texts. What is the largest population to which the results of the survey can be generalized?

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Hard Math · Problem-Solving and Data Analysis · Two-variable data: Models and scatterplots · MCQ figure
The figure presents a scatterplot titled “Minimum Wage.” The x axis is labeled “Years since 1940,” and the integers 0 through 80, in increments of 10, are indicated. The y axis is labeled “Minimum wage, in dollars per hour,” and the integers 0 through 8 are indicated. There are 8 data points in the scatterplot, and the line of best fit is drawn. The line of best fit begins at the point representing 0 years since 1940, minimum wage 0 dollars per hour. It slants upward and to the right, and passes through the point representing 40 years since 1940, minimum wage 3 point 3 5 2 dollars, and the point representing 70 years since 1940, minimum wage 6 point 2 3 2 dollars

The scatterplot above shows the federal-mandated minimum wage every 10 years between 1940 and 2010. A line of best fit is shown, and its equation is y equals, 0 point 0 9 6 x, minus 0 point 4 8 8. What does the line of best fit predict about the increase in the minimum wage over the 70-year period?

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Easy Math · Problem-Solving and Data Analysis · Ratios, rates, proportional relationships, and units · SPR

A special camera is used for underwater ocean research. When the camera is at a depth of 58 fathoms, what is the camera's depth in feet? 1 fathom=6 feet

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Hard Math · Problem-Solving and Data Analysis · Ratios, rates, proportional relationships, and units · MCQ

A sample of oak has a density of 807  kilograms per cubic meter. The sample is in the shape of a cube, where each edge has a length of 0.90 meters. To the nearest whole number, what is the mass, in kilograms, of this sample? 

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Easy Math · Problem-Solving and Data Analysis · One-variable data: Distributions and measures of center and spread · SPR

73 , 74 , 75 , 77 , 79 , 82 , 84 , 85 , 91

What is the median of the data shown?

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Easy Math · Problem-Solving and Data Analysis · Two-variable data: Models and scatterplots · MCQ figure

The line graph shows the number of graduates from the classes of 2001 through 2007 at a certain school who enrolled in college within 24 months of graduation. Of the following, which class had the fewest graduates who enrolled in college within 24 months of graduation?

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Medium Math · Problem-Solving and Data Analysis · Ratios, rates, proportional relationships, and units · SPR figure

On April 18, 1775, Paul Revere set off on his midnight ride from Charlestown to Lexington. If he had ridden straight to Lexington without stopping, he would have traveled 11 miles in 26 minutes. In such a ride, what would the average speed of his horse have been, to the nearest tenth of a mile per hour?

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