SAEE SAEE Analytical Reasoning & Data Interpretation 2 — Questions and Answers
Question 1: A school district reports that 45% of 800 students passed a standardized reading assessment. If the district aims to increase the pass rate to 60% next year with the same number of students, how many additional students must pass?
- 120 (Correct answer)
- 480
- 360
- 140
Correct answer: 120
Currently 360 students pass (800 × 0.45), and 60% of 800 is 480, so 480 − 360 = 120 additional students must pass.
Question 2: A researcher collects test scores from four classrooms: Room A (mean 78), Room B (mean 82), Room C (mean 75), and Room D (mean 85). Each room has 25 students. What is the overall mean score across all classrooms?
- 80 (Correct answer)
- 78
- 82
- 81
Correct answer: 80
The overall mean is (78 + 82 + 75 + 85) ÷ 4 = 80, since all rooms have equal enrollment.
Question 3: A bar graph shows monthly library visits: January (1,200), February (1,400), March (1,100), April (1,600). Which month showed the greatest percentage increase from the previous month?
- April (Correct answer)
- February
- March
- January
Correct answer: April
April increased from 1,100 to 1,600, a rise of approximately 45.5%, which is the largest percentage increase.
Question 4: In a dataset of student GPAs, the median is 3.2 and the mean is 2.9. What does this suggest about the distribution of GPAs?
- The distribution is skewed left with some very low GPAs pulling the mean down (Correct answer)
- The distribution is perfectly symmetrical
- The distribution is skewed right with some very high GPAs
- Most students have a GPA below 2.9
Correct answer: The distribution is skewed left with some very low GPAs pulling the mean down
When the mean is lower than the median, the distribution is left-skewed, indicating some low outliers are pulling the mean downward.
Question 5: A teacher administers the same test to two classes. Class 1 has a mean score of 74 with a standard deviation of 5, and Class 2 has a mean score of 74 with a standard deviation of 12. Which conclusion is best supported?
- Class 1 scores are more consistently clustered around the mean than Class 2 scores (Correct answer)
- Class 2 students performed better overall than Class 1
- Both classes have identical score distributions
- Class 1 has more outliers than Class 2
Correct answer: Class 1 scores are more consistently clustered around the mean than Class 2 scores
A smaller standard deviation indicates that Class 1's scores are more tightly grouped around the mean compared to Class 2.
Question 6: A pie chart shows budget allocation: Instruction 55%, Administration 15%, Transportation 10%, Facilities 12%, Technology 8%. If the total budget is $2,000,000, how much more is spent on Instruction than on Administration and Transportation combined?
- $600,000 (Correct answer)
- $500,000
- $700,000
- $1,100,000
Correct answer: $600,000
Instruction is $1,100,000 (55%), Administration plus Transportation is $500,000 (25%), and the difference is $600,000.
SAEE SAEE Analytical Reasoning & Data Interpretation 2
A school district reports that 45% of 800 students passed a standardized reading assessment.
If the district aims to increase the pass rate to 60% next year with the same number of students, how many additional students must pass?