First, list all the data points from the stem-and-leaf plot in order: 58, 59, 60, 61, 61, 64, 67, 70, 72. There are 9 data points in total. The median is the middle value. Since there is an odd number of data points, the median is the (9 + 1) / 2 = 5th value in the ordered list. The 5th value is 61.

First, find the mode, which is the most frequent number of books read. Five students read 2 books, which is more than any other number, so the mode is 2. Next, find the median. There are 15 students, so the median is the 8th value when the data is listed in order: 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 5. The 8th value is 2. The difference between the median (2) and the mode (2) is 2 - 2 = 0.

The advertised average is the mean: ($40k+$42k+$45k+$53k+$220k)/5 = $400k/5 = $80,000. However, the high salary of $220,000 is an outlier that skews the mean. The median is the middle value, which is $45,000. This is significantly lower than the mean of $80,000 and is more representative of a typical employee's salary. The mode doesn't exist as no salary is repeated. The range is $220,000 - $40,000 = $180,000, which is greater than the average.

To find the score on the fourth exam, we can work backward from the average. The sum of the four scores must be the average multiplied by the number of scores: 89 * 4 = 356. The sum of the first three scores is 86 + 93 + 84 = 263. To find the fourth score, subtract the sum of the first three from the total sum: 356 - 263 = 93.

First, calculate the mean for both players. Mean A: (18+20+22+24+26)/5 = 110/5 = 22. Mean B: (10+15+20+30+35)/5 = 110/5 = 22. The means are the same. Next, calculate the range. Range A: 26 - 18 = 8. Range B: 35 - 10 = 25. Player B has a greater range. Therefore, the statement that the players have the same mean, but Player B has a greater range is accurate.

Let the 5 integers in ascending order be a, b, c, d, e. The median is the middle number, so c = 12. The mode is the most frequent number, and since it must be different from the median, it must appear at least twice. To be the mode, the two largest numbers must be 15, so d=15 and e=15. The data set is a, b, 12, 15, 15. The mean is 10, so the sum of the numbers is 5 * 10 = 50. Therefore, a + b + 12 + 15 + 15 = 50, which simplifies to a + b + 42 = 50, so a + b = 8. Since the numbers are positive integers in ascending order (a ≤ b < 12) and not equal to 15, we need to find pairs (a, b) that sum to 8. Possible pairs are (1, 7), (2, 6), (3, 5). The pair (4, 4) is not possible because 15 is the only mode. To find the smallest possible integer, we look at the smallest possible value for 'a', which is 1.

First, find the number of students who preferred each mascot. Tiger: (2/3) * 120 = 80 students. Bear: 120 - 80 = 40 students. Next, find the number of girls in each preference group. Girls who preferred tiger: (1/4) * 80 = 20 girls. Girls who preferred bear: (5/8) * 40 = 25 girls. Finally, add the number of girls from both groups to find the total: 20 + 25 = 45 girls.

First, determine the total number of possible meal combinations. This is found by multiplying the number of choices in each category: 2 (appetizers) * 3 (main courses) * 2 (desserts) = 12 total combinations. Next, determine the number of favorable outcomes. A meal with salad and fish can be paired with either cake or pie for dessert. This means there are 2 favorable outcomes: (Salad, Fish, Cake) and (Salad, Fish, Pie). The probability is the number of favorable outcomes divided by the total number of outcomes: 2/12, which simplifies to 1/6.

This is a weighted average calculation. Multiply each score by its weight (as a decimal) and sum the results. Homework: 90 × 0.20 = 18. Quizzes: 80 × 0.30 = 24. Final Exam: 76 × 0.50 = 38. The final grade is the sum of these weighted scores: 18 + 24 + 38 = 80.

When you encounter scatterplot questions, focus on understanding what the trend of the points tells you about correlation. A scatterplot reveals the relationship between two variables by showing how they change together.

The key detail here is that points trend "from the top left to the bottom right." This creates a downward slope, which indicates a negative correlation. As one variable increases (age, moving right on the x-axis), the other variable decreases (value, moving down on the y-axis). So as cars get older, their resale value decreases.

Answer D correctly identifies this negative correlation and accurately describes what it means: older cars are less valuable. This matches the downward trend described in the passage.

Answer A misinterprets the correlation direction. A positive correlation would show points trending from bottom left to top right, indicating that both variables increase together. That's not what's described here.

Answer B makes a common error by confusing correlation with causation. While the scatterplot shows these variables are related, it doesn't prove that age directly causes the decrease in value. Correlation doesn't equal causation.

Answer C contradicts the given information entirely. If there were no correlation, the points would be scattered randomly with no clear trend pattern.

Remember this pattern: downward-trending points = negative correlation, upward-trending points = positive correlation. Also, always distinguish between correlation (variables are related) and causation (one variable directly causes changes in another) on quantitative reasoning questions.