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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

A fish hatchery has three tanks for holding fish before they are introduced into the wild. Ten fish weighing less than 5 ounces are placed in tank A. Eleven fish weighing at least 5 ounces but no more than 13 ounces are placed in tank B. Twelve fish weighing more than 13 ounces are placed in tank C. Which of the following could be the median of the weights, in ounces, of these 33 fish?

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

In State X, Mr. Camp’s eighth-grade class consisting of 26 students was surveyed and 34.6 percent of the students reported that they had at least two siblings. The average eighth‑grade class size in the state is 26. If the students in Mr. Camp’s class are representative of students in the state’s eighth-grade classes and there are 1,800 eighth-grade classes in the state, which of the following best estimates the number of eighth‑grade students in the state who have fewer than two siblings?

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

The figure presents a bar graph titled “Results of Five Quality Control Trials.” The horizontal axis is labeled “Trial,” and the following five letters are indicated along the axis: A, B, C, D, and E. Each letter has a vertical bar. The vertical axis is labeled “Number of defective light bulbs,” and the numbers 0 through 8, in increments of 1, are indicated. The data represented by each of the 5 bars are as follows.  Trial A, 4 light bulbs. Trial B, 7 light bulbs. Trial C, 1 light bulb. Trial D, 3 light bulbs. Trial E, 6 light bulbs.

For quality control, a company that manufactures lightbulbs conducted five different trials. In each trial, 500 different lightbulbs were tested. The bar graph above shows the number of defective lightbulbs found in each trial. What is the mean number of defective lightbulbs for the five trials?

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

What number is 40 % greater than 115 ?

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

13 is p% of 25 . What is the value of p ?

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

During a sale, the original prices of all the items in a clothing store have been reduced by 20%. What is the sale price of a jacket with an original price of $50 ?

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

A competition consisted of four different events. One participant completed the first event with an average speed of 20.300 miles per hour. What was this average speed, in yards per hour? 1 mile=1,760 yards

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

The mean of the list of numbers above is what fraction of the sum of the five numbers?

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

The figure presents a scatterplot titled “Temperature and Elevation.” The horizontal axis is labeled “Elevation, in feet,” and the numbers 6,000 through 9,000, in increments of 500, are indicated. The vertical axis is labeled “Temperature, in degrees Fahrenheit,” and the integers 37 through 45 are indicated. There are 8 data points. The data points begin a little below, and to the right of the top of the vertical axis, then trend downward and to the right. A line of best fit is drawn. The data represented by the 8 data points are as follows. Note that all values are approximate. Point 1. 6,350 feet, 42 point 9 degrees Fahrenheit. Point 2. 6,750 feet, 43 point 8 degrees Fahrenheit. Point 3. 6,750 feet, 42 degrees Fahrenheit. Point 4. 7,500 feet, 42 point 2 degrees Fahrenheit. Point 5. 8,000 feet, 40 point 5 degrees Fahrenheit. Point 6. 8,000 feet, 40 degrees Fahrenheit. Point 7. 8,800 feet, 38 point 6 degrees Fahrenheit. Point 8. 8,800 feet, 37 point 6 degrees Fahrenheit. The line of best fit passes through the data point representing 7,500 feet comma 41 point 1 degrees Fahrenheit, and the data point representing 8,500 feet comma 39 degrees Fahrenheit

The scatterplot above shows the high temperature on a certain day and the elevation of 8 different locations in the Lake Tahoe Basin. A line of best fit for the data is also shown. Which of the following statements best describes the association between the elevation and the temperature of locations in the Lake Tahoe Basin?

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Hard Math · Problem-Solving and Data Analysis · Percentages · SPR

A gift shop buys souvenirs at a wholesale price of 7.00 dollars each and resells them each at a retail price that is 290% of the wholesale price. At the end of the season, any remaining souvenirs are marked at a discounted price that is 80% off the retail price. What is the discounted price of each remaining souvenir, in dollars?

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

The scatterplot above shows the size x and the sale price y of 25 houses for sale in Town H. Which of the following could be an equation for a line of best fit for the data?

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

For a particular machine that produces beads, 29 out of every 100 beads it produces have a defect. A bead produced by the machine will be selected at random. What is the probability of selecting a bead that has a defect?

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

A bag contains a total of 60 marbles. A marble is to be chosen at random from the bag. If the probability that a blue marble will be chosen is 0.35, how many marbles in the bag are blue?

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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 for the data is also shown.

  • The scatterplot has 11 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.
    • 6 points are above the line of best fit.
    • 5 points are below the line of best fit.
    • The line of best fit goes through the following approximate coordinates:
      • (28 comma 6)
      • (33 comma 1.5)

At x = 32 , which of the following is closest to the y-value predicted by the line of best fit?

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

To estimate the proportion of a population that has a certain characteristic, a random sample was selected from the population. Based on the sample, it is estimated that the proportion of the population that has the characteristic is 0.49 , with an associated margin of error of 0.04 . Based on this estimate and margin of error, which of the following is the most appropriate conclusion about the proportion of the population that has the characteristic?

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

A store manager reviewed the receipts from 80 customers who were selected at random from all the customers who made purchases last Thursday. Of those selected, 20 receipts showed that the customer had purchased fruit. If 1,500 customers made purchases last Thursday, which of the following is the most appropriate conclusion?

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

Andrew and Maria each collected six rocks, and the masses of the rocks are shown in the table above. The mean of the masses of the rocks Maria collected is 0.1 kilogram greater than the mean of the masses of the rocks Andrew collected. What is the value of x ?

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

In a study, the data from a random sample of a population had a mean of 37, with an associated margin of error of 3. Which of the following is the most appropriate conclusion that can be made about the population mean?

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

What is 10% of 370 ?

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

Over this 5-day period, which of the following is NOT equal to 81°F?

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

Poll Results

Angel Cruz 483
Terry Smith 320

The table shows the results of a poll. A total of 803 voters selected at random were asked which candidate they would vote for in the upcoming election. According to the poll, if 6,424 people vote in the election, by how many votes would Angel Cruz be expected to win?

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

The number of penguins in a zoo exhibit, sorted by gender and type of penguin, is shown in the table above. Which type of penguin has a female population that is the closest to being one-third of the total female penguin population in the exhibit?

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

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. Which of the following statements are true about the number of students who completed summer internships for the 5 years shown?

  1. The mean number from Foothill High School is greater than the mean number from Valley High School.
  2. The median number from Foothill High School is greater than the median number from Valley High School.

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

For x>0, the function f is defined as follows:

f(x) equals 201% of x

Which of the following could describe this function?

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

There are 20 buttons in a bag: 8 white buttons, 2 orange buttons, and 10 brown buttons. If one of these buttons is selected at random, what is the probability of selecting a white button?

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