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Generation Date: 02/22/2015

Generated By: Robert Dilliplane

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1. A group of band instructors answered a survey about hours of rehearsal per week and number of competitions won. The graph shows the results of this survey.

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Based on these results, if a band instructor wants to win at least 24 competitions, his or her band should rehearse at least how many hours per week?

|[pic|A. |5 |

|] | | |

|[pic|B. |4.5 |

|] | | |

|[pic|C. |4 |

|] | | |

|[pic|D. |3.5 |

|] | | |

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2. Halle planted mint and basil seeds in her herb garden. She measured the height of each herb plant at the end of each week for six weeks. The results are shown in the line graph below.

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What is the difference in the mean growth per week for both herbs during the six weeks shown in the graph?

|[pic|A. |3.5 cm/week |

|] | | |

|[pic|B. |0.7 cm/week |

|] | | |

|[pic|C. |0.8 cm/week |

|] | | |

|[pic|D. |1 cm/week |

|] | | |

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3. Tomas conducted a survey at several restaurants across town. The number of responses he received are represented by the box plot below.

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What percent of the data is above 28?

|[pic|A. |75% |

|] | | |

|[pic|B. |25% |

|] | | |

|[pic|C. |66% |

|] | | |

|[pic|D. |50% |

|] | | |

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4. Mary measured the height of 16 tenth graders at a local high school. Below is a stem-and-leaf plot of her data, which is in inches.

|stem |[|leaf |

| |p| |

| |i| |

| |c| |

| |]| |

|5 | |7 8 8 8 9 |

|6 | |0 2 2 5 6 6 7 |

|7 | |1 2 3 3 |

What is the mean of Mary's data rounded to the nearest tenth?

|[pic|A. |73 in |

|] | | |

|[pic|B. |64.2 in |

|] | | |

|[pic|C. |67.4 in |

|] | | |

|[pic|D. |4.9 in |

|] | | |

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5.

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A company made a bar graph showing the amount of sales for each month in thousands of dollars. Which of the following is closest to the range of sales for the four-month period?

|[pic|A. |$5,500 |

|] | | |

|[pic|B. |$2,000 |

|] | | |

|[pic|C. |$3,500 |

|] | | |

|[pic|D. |$500 |

|] | | |

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6.

26, 17, 33, 12, 19, 15, 22, 8, 10

Which of the box-and-whisker plots below represents the data set above?

|[pic] |[pic] |

|W. |X. |

|[pic] |[pic] |

|Y. |Z. |

|[pi|A. |X |

|c] | | |

|[pi|B. |Z |

|c] | | |

|[pi|C. |Y |

|c] | | |

|[pi|D. |W |

|c] | | |

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7. The graph below shows the relationship between a team's salary and their winning percentage in a professional sports league.

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If a team has a 10 million dollar salary, what would be the team's expected winning percentage?

|[pi|A. |45% |

|c] | | |

|[pi|B. |15% |

|c] | | |

|[pi|C. |65% |

|c] | | |

|[pi|D. |25% |

|c] | | |

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8. The line plot below shows the number of hours each person in Mr. Finley's class studied for an exam. What is the mean of the data in the graph?

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Each X represents one student.

|[pi|A. |3 hours |

|c] | | |

|[pi|B. |4.9 hours |

|c] | | |

|[pi|C. |2.9 hours |

|c] | | |

|[pi|D. |3.9 hours |

|c] | | |

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9.

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Nancy went on a diet over an eight week period. She recorded her weight each week. Which of the following is the closest to the range of her weights?

|[pi|A. |51 lbs |

|c] | | |

|[pi|B. |36 lbs |

|c] | | |

|[pi|C. |46 lbs |

|c] | | |

|[pi|D. |26 lbs |

|c] | | |

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10. The following stem-and-leaf plot shows the scores on the most recent math exam.

|4 |[|0 1 3 5 8 9 |

| |p| |

| |i| |

| |c| |

| |]| |

|5 | |3 5 6 6 7 |

|6 | |1 2 2 7 9 |

|7 | |0 3 3 3 4 6 8 8 |

|8 | |2 4 4 7 7 9 |

What is the mode of these values?

|[pi|A. |56 |

|c] | | |

|[pi|B. |73 |

|c] | | |

|[pi|C. |84 |

|c] | | |

|[pi|D. |78 |

|c] | | |

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Answers

1. D

2. C

3. B

4. B

5. A

6. C

7. A

8. D

9. B

10. B

Explanations

1. A best-fit line drawn on the scatter plot (a line that represents that average of the points on the plot) would cross the line for 24 competitions won at the 3.5 hours of rehearsing per week line. No band that rehearsed less than 3.5 hours won at least 24 competitions.

2.

| |

To find the mean growth per week, calculate how many centimeters the herb grew per week and then find the average of those measurements.

First, list the points from the graph for basil.

|Week |0 |1 |2 |

Next, list the points from the graph for mint.

|Week |0 |1 |2 |

Now, subtract the two mean growths per week to find the difference.

2.8 cm/week - 2 cm/week = 0.8 cm/week

3. Quartiles separate a data set into 4 equal parts and each of the parts contains 1/4 of the data.

On the box-and-whisker plot, 28 is the third quartile, thus 25% of the data is above 28.

4. Find the mean of the given data.

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So, the mean of her data is 64.2 in.

5. In May, there were about 5,500 dollars in sales.

In June, there were 9,000 dollars in sales.

In July, there were about 3,500 dollars in sales.

In August, there were 6,000 dollars in sales.

To find the range, subtract the smallest amount from the largest amount.

$9,000 - $3,500 = $5,500

Therefore, the range is $5,500.

6. First, write the numbers in ascending order.

8, 10, 12, 15, 17, 19, 22, 26, 33

Then, find the median of the set of numbers.

8, 10, 12, 15, 17, 19, 22, 26, 33

Next, find the median of the numbers below 17. Since there are 4 numbers, average the middle values.

8, 10, 12, 15, 17, 19, 22, 26, 33

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Next, find the median of the numbers above 17. Since there are 4 numbers, average the middle values.

8, 10, 12, 15, 17, 19, 22, 26, 33

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The extreme values are 8 and 33.

Therefore, box plot Y is the correct choice.

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7. If a best-fit line is drawn on the scatter plot (a line that represents the average of the points on the plot), it would cross the line for a team with a 10 million dollar salary at a winning percentage of approximately 45%.

8. To find the mean, add each value and divide by 10.

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Therefore, the mean is 3.9 hours.

9. To find the range, find the difference between the largest and smallest values.

190 lbs - 154 lbs = 36 lbs

10. In a stem-and-leaf plot, the leaf is always the last digit in the number (the ones place), and the stem is the entire number except the last digit (that is the tens place or the tens place and hundreds place).

The mode is the value that appears most often in the data set.

In this case, the mode is 73.

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