ISEE Upper Level Quantitative Reasoning Quiz: Interpreting Data Displays

What this quiz covers

This quiz focuses on Interpreting Data Displays, giving you a quick way to practice the rules, question types, and explanations that matter most for ISEE Upper Level Quantitative Reasoning.

How to use this quiz

Try each quiz question before looking at the correct answer. Use the explanations to review missed ideas, then come back to similar questions until the pattern feels familiar.

Question 1

1. Quarter 1 had the greatest difference in sales between products
2. Quarter 2 had the greatest difference in sales between products
3. Quarter 3 had the greatest difference in sales between products
4. Quarter 4 had the greatest difference in sales between products (correct answer)

Question 2

1. Monday had the smallest difference between temperature and humidity
2. Wednesday had the smallest difference between temperature and humidity
3. Friday had the smallest difference between temperature and humidity (correct answer)
4. Sunday had the smallest difference between temperature and humidity

Question 3

1. Approximately 43% of students are 66 inches or taller
2. Approximately 47% of students are 66 inches or taller (correct answer)
3. Approximately 53% of students are 66 inches or taller
4. Approximately 57% of students are 66 inches or taller

Question 4

1. The experimental probability of rolling a sum of 7 is $\frac{8}{50}$ (correct answer)
2. The experimental probability of rolling a sum of 7 is $\frac{9}{50}$
3. The experimental probability of rolling a sum of 7 is $\frac{1}{6}$ based on theoretical calculations
4. The experimental probability of rolling a sum of 7 is $\frac{6}{36}$ from the sample space

Question 5

1. Mix A has the highest proportion of nuts at approximately 45%
2. Mix B has the highest proportion of nuts at approximately 50% (correct answer)
3. Mix C has the highest proportion of nuts at approximately 40%
4. Mix A and Mix B have equal proportions of nuts at 45%

Question 6

1. The median test score is 78
2. The median test score is 79 (correct answer)
3. The median test score is 80
4. The median test score is 81

Question 7

1. The ratio of girls' total to boys' total is 3:2
2. The ratio of girls' total to boys' total is 4:3
3. The ratio of girls' total to boys' total is 5:4 (correct answer)
4. The ratio of girls' total to boys' total is 7:5

Question 8

1. The student spends 6 hours on other activities during the day
2. The student spends 7 hours on other activities during the day
3. The student spends 8 hours on other activities during the day
4. The student spends 9 hours on other activities during the day (correct answer)

Question 9

1. The median value falls in the interval 20-30
2. The mean is greater than the median due to positive skewness (correct answer)
3. Exactly 25% of the data points fall below the value 15
4. The distribution shows negative skewness with a left tail

Question 10

1. The probability is $\frac{18}{75}$ that the Science student is in 8th grade
2. The probability is $\frac{18}{45}$ that the Science student is in 8th grade (correct answer)
3. The probability is $\frac{18}{25}$ that the Science student is in 8th grade
4. The probability is $\frac{45}{75}$ that the Science student is in 8th grade

Question 11

1. The mode is 1 pet because it appears most frequently
2. The mode is 2 pets because it appears most frequently (correct answer)
3. The mode is 3 pets because it appears most frequently
4. There is no mode because multiple values appear equally often

Question 12

1. Method A produces higher scores with less variation (correct answer)
2. Method B produces higher scores with less variation
3. Method A shows greater variability than Method B
4. Method B shows greater variability than Method A

Question 13

1. The mean would be most appropriate because the distribution is symmetric
2. The median would be most appropriate because the distribution is skewed left (correct answer)
3. The median would be most appropriate because the distribution is skewed right
4. The mode would be most appropriate because it shows the most common score

Question 14

1. $\frac{8}{45}$
2. $\frac{8}{25}$ (correct answer)
3. $\frac{8}{20}$
4. $\frac{25}{45}$

Question 15

1. Studying for more than 8 hours guarantees a test score above 85
2. The correlation coefficient is approximately -0.7, indicating strong negative correlation
3. There is a moderate positive relationship, but some students score well with minimal study time (correct answer)
4. The relationship is perfectly linear with no variation around the trend line

Question 16

1. 25% of the days had temperatures in this range
2. 50% of the days had temperatures in this range
3. 75% of the days had temperatures in this range
4. Cannot be determined from the box plot alone (correct answer)

Question 17

1. The probability is $\frac{45}{120}$ for a 10th grader to participate
2. The probability is $\frac{45}{75}$ for a 10th grader to participate (correct answer)
3. The probability is $\frac{30}{75}$ for a 10th grader to participate
4. The probability is $\frac{45}{200}$ for a 10th grader to participate

Question 18

1. 20 students scored between 70 and 85 points
2. 25 students scored between 70 and 85 points
3. 30 students scored between 70 and 85 points (correct answer)
4. 35 students scored between 70 and 85 points

Question 19

1. Class A has higher scores overall with a mean around 85 points
2. Class B shows more variability in scores with a wider distribution range (correct answer)
3. Both classes have identical medians but different standard deviations from the center
4. Class A has a bimodal distribution while Class B shows normal distribution patterns

Question 20

1. There are no outliers present in this data set based on the scatter pattern
2. One student watches 25 hours of TV but maintains a 3.8 GPA, making them an outlier (correct answer)
3. Multiple students with 0-5 hours of TV have GPAs below 2.0, making them outliers
4. The student with 30 hours of TV and 1.5 GPA represents the expected trend, not an outlier