Question 1Mid
The average of 4 quiz scores is 84. After a fifth quiz score is included, the average becomes 86. What is the fifth quiz score?
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Answer: C — 94
The first 4 scores total . The 5 scores total . The fifth score is .
Study on the flySHSATMathematicsStatistics (center, spread, plots)
Statistics (center, spread, plots) — SHSAT practice questions
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Practice 111 Statistics (center, spread, plots) questions in the app
What this topic is
On the SHSAT, Statistics (center, spread, plots) covers mean, median, range, and how a data set changes when a value is added or replaced.
A student has to recover a missing score from a changed average, find a mean when two people share the same total but a different number of trials, and recompute the median after one entry is swapped. Questions are word problems about bowling, quizzes, or reports; plots, when they appear, still ask for a center or spread.
Traps include treating a total as an average, forgetting to reorder before naming the middle value, and mixing mean with median. Answer choices are single numbers matching those mistakes.
Sample questions
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Question 2Easier
The numbers of pages in 7 reports are and 29. If the report with 29 pages is replaced by a report with 16 pages, what is the median number of pages?
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Answer: A — 15
After the replacement, the ordered data are 8,12,15,15,16,18,22. With 7 values, the median is the fourth value, which is 15.
Question 3Easier
In a bowling league, Marcus bowled 3 games with a mean score of 150. Elena bowled 6 games. If Marcus and Elena rolled the same total pinfall, what was Elena’s mean score per game?
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Answer: A — 75
Marcus’s total pinfall is 3×150=450. Since Elena’s total pinfall is also 450 but spread over 6 games, her mean score is 450÷6=75.
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Practice 111 Statistics (center, spread, plots) questions in the app
More SHSAT topics
Mathematics
- Number system and operations
- Ratios, unit rates, and proportional relationships
- Percentages (incl. percent change)
- Exponents and scientific notation
- Algebraic expressions
- Linear equations and slope
- Inequalities
- Systems of equations
- Functions
- Angles and lines
- Triangles and the Pythagorean theorem
- Area, perimeter, volume, and surface area
- Coordinate plane and distance
- Scale drawings and transformations
- Probability and counting
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