Interpreting Graph Trends - SSAT Middle Level Quantitative

  1. Use the graph to analyze the number of cars passing through a toll booth each hour from 6 AM to 6 PM. Which conclusion about traffic patterns is best supported by the data?
    Answer: Traffic volume showed two distinct peaks separated by a mid-day period of reduced activity The graph shows two clear peaks: one around 8-9 AM (450-480 cars) and another around 5-6 PM (520-500 cars), with lower traffic during mid-day hours (11 AM-2 PM around 250-280 cars). Choice A is wrong because lunch hour (12-1 PM) shows low traffic. Choice C is wrong because there are significant fluctuations, not steady increase. Choice D is wrong because 4-5-6 PM shows 480-520-500, which isn't consistently highest. Choice E is wrong because 9-10 AM shows a larger drop (480 to 380 = -100 vs 380 to 320 = -60).
  2. Refer to the graph showing the number of students enrolled in after-school programs over six consecutive years. Which statement best describes the overall enrollment trend during this period?
    Answer: Enrollment demonstrated steady growth with the exception of one year showing a temporary decline The enrollment grows from 180 to 200 to 220 to 200 to 240 to 280, showing steady growth except for Year 4 which drops from 220 to 200. Choice A is wrong because the rate isn't constant (some years +20, one year -20, some +40). Choice B is wrong because Year 5-6 shows the biggest jump (+40 vs +20). Choice C is wrong because enrollment grows in Years 1-3. Choice E is wrong because 280 is not more than double 180.
  3. The graph shows the water level in a reservoir measured weekly over 16 weeks. Based on the trend shown, which conclusion is most accurate?
    Answer: The reservoir experienced its most dramatic water level change between Weeks 8 and 10 Between Weeks 8 and 10, the water level drops from 85 feet to 65 feet, a decrease of 20 feet over 2 weeks, which is the most dramatic change in the entire period. Choice A is wrong because there are periods of increase (Weeks 4-6, 12-14). Choice C is wrong because Week 10 shows 65 feet, which is the lowest point, not Week 16 (70 feet). Choice D is wrong because the middle portion (Weeks 6-10) shows significant variation. Choice E is wrong because there are only two clear periods of consecutive increases.
  4. The line graph displays the stock price of Company ABC over a 10-day trading period. Which observation about the price movement is most accurate?
    Answer: The stock experienced its largest single-day gain between Day 6 and Day 7 of trading Looking at day-to-day changes, Day 6 to Day 7 shows an increase from $32 to $45, a gain of $13, which is the largest single-day increase. Choice A is wrong because Day 1 starts at $40 and Day 10 ends at $42. Choice C is wrong because only 4 days show declines (Days 2,3,5,8) out of 10. Choice D is wrong because the minimum ($28) occurs on Day 5, not Day 5.5. Choice E is wrong because the range is $45-$28=$17.
  5. The chart tracks the number of bicycles rented per hour at a bike rental shop on a Saturday. Which observation about rental patterns is most accurate?
    Answer: Rental activity demonstrated two distinct busy periods separated by a quieter mid-day interval Read each bar: 9–10 AM, 10; 10–11, 15; 11–12, 18; 12–1 PM, 12; 1–2, 8; 2–3, 14; 3–4, 16; 4–5, 12; 5–6, 6. Rentals rise to 18 in the late morning, drop to 8 from 1 to 2 PM, then climb again to 16 from 3 to 4 PM. That is two distinct busy periods separated by a quieter mid-day interval. The busiest three-hour block is 10 AM to 1 PM (15 + 18 + 12 = 45), which runs past noon, while the 9 AM to noon block totals only 43, so the busiest period was not entirely in the morning. The peak hour is 11 AM to noon, not the lunch hour. Rentals rise again after 2 PM, so there is no steady decline. Only 2 of the 9 hours had fewer than 10 rentals, not half.
  6. The chart tracks the daily number of website visitors for an online store during a promotional campaign lasting 15 days. Which observation about visitor traffic is most accurate?
    Answer: The number of visitors rose from one day to the next during exactly three separate stretches of the campaign Read the values from the chart. Days 1 to 15 have 220, 240, 250, 300, 320, 310, 280, 350, 380, 360, 270, 260, 290, 280 and 270 visitors. The count rises from one day to the next during Days 1 to 5 (220 up to 320), Days 7 to 9 (280 up to 380) and Days 12 to 13 (260 up to 290), and it falls on every other day, so there are exactly three rising stretches. The first five days total 1330 visitors and the final five total 1370, so the first five days did not attract more. The largest one-day increase is from Day 7 to Day 8 (up 70), not from Day 8 to Day 9 (up 30), even though Day 9 is the peak. The peak on Day 9 is one day after the middle day, Day 8. Only five days (Days 5, 6, 8, 9 and 10) are above 300; Day 4 is exactly 300, which is not above it. Strategy tip: For chart statements, write down every value first, then test each statement against those numbers.
  7. Based on the graph showing monthly rainfall amounts for one year, which conclusion about precipitation patterns is most accurate?
    Answer: The wettest three consecutive months received more than twice the rainfall of the driest three months Read the bars: Jan 2.8, Feb 2.1, Mar 3.2, Apr 4.2, May 5.1, Jun 4.8, Jul 1.2, Aug 0.8, Sep 1.5, Oct 2.9, Nov 3.4, Dec 2.7 inches. The wettest three months in a row are April through June: 4.2+5.1+4.8=14.14.2 + 5.1 + 4.8 = 14.1 inches. The driest three in a row are July through September: 1.2+0.8+1.5=3.51.2 + 0.8 + 1.5 = 3.5 inches. Since 2×3.5=7.02 \times 3.5 = 7.0 and 14.1 is greater than 7.0, the wettest stretch got more than twice the rain of the driest. Winter (December through February) totals 2.7+2.8+2.1=7.62.7 + 2.8 + 2.1 = 7.6 inches, more than summer (6.8) or July through September (3.5), so it was not the driest. Rainfall did not rise steadily through spring, because February (2.1) is lower than January (2.8). Autumn was not the most variable season; summer swings from 4.8 down to 0.8. The sudden drop from June to July is a large, abrupt change, not a minimal one.
  8. The graph shows the number of library visitors each day for two consecutive weeks. Which statement most accurately describes the visitation pattern?
    Answer: The highest single-day attendance occurred on a weekday rather than a weekend day Read each point from the graph. Week 1: 100, 140, 120, 150, 110, 90, 85. Week 2: 105, 130, 180, 135, 125, 95, 100. The highest point is 180 visitors on Wednesday of Week 2, and Wednesday is a weekday, so the highest single-day attendance did occur on a weekday. Weekends were actually the lowest days, with 85 to 100 visitors, so they were not higher than weekdays. Weekend counts stayed in that narrow 85 to 100 band while weekday counts ranged from 100 to 180, so weekends varied less, not more. Week 2's average (about 124) is higher than Week 1's (about 114), not lower. The weeks did not repeat: Week 1 peaked on Tuesday and Thursday, Week 2 on Wednesday.
  9. The line graph tracks the daily high temperatures for one week in spring. Based on the temperature pattern shown, which observation is most accurate?
    Answer: The temperature experienced exactly two periods of consecutive daily increases during the seven-day span The daily highs are 62, 68, 75, 78, 65, 71, and 76°F. The day-to-day changes are +6, +7, +3, −13, +6, and +5. The temperature rose every day from Monday to Thursday, fell on Friday, then rose again from Friday to Sunday. That is exactly two periods of consecutive daily increases. The greatest single-day increase is +7, from Tuesday to Wednesday, so the Monday-to-Tuesday rise of +6 is not the largest. The weekly maximum, 78°F, came on Thursday, but Friday fell to 65°F, so it did not hold. The range is 78−62=16°F78 - 62 = 16°F, which is not less than 15°F. The week ended at 76°F, not at Monday's 62°F. For line graphs, list the values and the changes between them before testing each statement.
  10. The chart displays the number of flowers blooming in a garden each week during a 10-week growing season. Which observation about the blooming pattern is best supported?
    Answer: Flower counts increased more rapidly during the first half of the season than they decreased in the second half From Week 1 to Week 5 (first half), flowers increase from 50 to 250 (increase of 200 over 4 weeks = 50/week average). From Week 6 to Week 10 (second half), they decrease from 240 to 80 (decrease of 160 over 4 weeks = 40/week average). So the rate of increase (50/week) exceeds the rate of decrease (40/week). Choice A is wrong because peak occurs at Week 5, not Week 5.5. Choice C is wrong because only Weeks 5-7 show >200 flowers (3 out of 10 weeks). Choice D is wrong because it starts at 50 and ends at 80. Choice E is wrong because Week 7-8 drops by 40, while Week 8-9 drops by 50.
  11. The graph shows the number of hours of sunlight per day in a northern city throughout the year. Which conclusion about daylight patterns is best supported by the data?
    Answer: The difference between the longest and shortest days of the year is approximately 8 hours The longest day (June) shows about 18 hours and the shortest day (December) shows about 6 hours, giving a difference of approximately 12 hours. Wait, let me recalculate based on the graph... The longest day shows 17 hours and shortest shows 9 hours, so difference is 8 hours. Choice A is wrong because the equinoxes (Mar/Sep) show about 12 hours but not exactly. Choice B is wrong because the rates appear symmetric. Choice C is wrong because only May, June, July appear above 15 hours (3 months). Choice E is wrong because the most rapid changes occur around the equinoxes, not solstices.

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