20 carefully crafted questions — from dead easy to genuinely tricky. Pick an answer, see instant feedback.
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⚡ Quick Memory
Ultra-compact mnemonics — read before you start
STAT Q = VARY
A statistical question must have varying answers. If everyone gives the same answer → NOT statistical.
CAT vs QUANT
Categorical = names / groups (color, sport, gender). Quantitative = numbers you can add/subtract (height, raisins, %).
POP = ALL, SAMP = SOME
Population = the ENTIRE group. Sample = a subset chosen from that group.
PARAM → POP, STAT → SAMP
Parameter describes a population. Statistic describes a sample. Same first letters: P→P, S→S.
% = (part ÷ total) × 100
Always divide the smaller group by the total for that row, not the grand total.
GRAPH ≠ TABLE sometimes
A graph showing 100% for Grades 9-10 means within that grade. Different denominators → different %.
Section A — Definitions
Question 01Easy
Which of the following is a statistical question?
🔑 Key: A statistical question produces answers that VARY from person to person.
Question 02Easy
"How old are the students at KIS?" — This question asks about which statistical variable?
Question 03Easy
A statistical variable is best described as:
Section B — Categorical vs Quantitative
Question 04Easy
Which variable is categorical?
💡 CAT = you can put things in named groups. QUANT = you get actual numbers.
Question 05Medium
A statistician records the type of sport played and the number of participants for each sport. Which pair is correct?
Question 06Medium
Which of the following is NOT something you typically do with a quantitative variable?
Question 07Tricky
A student records shirt sizes as S, M, L, XL. Another records shirt sizes as 38, 40, 42, 44 (in cm). Which statement is TRUE?
⚠️ Context matters! Same concept, different representations.
Section C — Population vs Sample
Question 08Easy
A pastry inspector counts raisins in 10 oatmeal raisin cookies from a batch of 500. The population is:
Question 09Easy
In the same cookie example, the sample is the 10 cookies inspected, and the variable of interest is:
Question 10Medium
A statistician computes the free-throw percentage for every player in the WNBA. Is this a census (population) or a sample study?
Section D — Parameter vs Statistic
Question 11Easy
"20% of all students surveyed are 18 years old." This value (20%) is a:
🔑 Remember: P→P, S→S. Who was measured — everyone or just some?
Question 12Medium
"15% of all U.S. Senators voted 'No' on a bill." The value 15% is a:
Question 13Tricky
How is categorical data typically summarized, according to your notes?
Section E — Matching & Mixed
Question 14Medium
Match: "Height of a student" → correct category?
Question 15Tricky
"10 people out of a group of 20 prefer jazz." The proportion (10/20 = 50%) is a ____ if those 20 people are a subset of a larger group.
Section F — Data Table & Percentage Problems
Question 16Medium
Using the 2005–2006 High School Sports data, what is the percentage of Grade 9–10 Basketball participants out of ALL basketball participants?
Sport
Grades 9–10
Grades 11–12
Total
Basketball
546,335
452,929
999,264
Formula: (Grade 9–10 ÷ Total) × 100
Question 17Tricky
The bar graph shows 100% participation in baseball for Grades 9–10, yet the table shows 470,671 (not all) in grades 9–10. Why the discrepancy?
⚠️ This is the most commonly missed question. Think: what does "100%" mean in a stacked bar graph vs. a raw count?
Question 18Medium
What are the categorical variables in the High School Sports table?
Section G — Concept Synthesis (hardest)
Question 19Tricky
A school principal surveys 50 randomly chosen students and finds that 60% walk to school. She uses this to estimate that 60% of all 800 students walk to school. Match each value correctly:
Identify: sample, population, statistic, and parameter in this scenario.
Question 20Tricky
A researcher wants to know the average number of text messages teenagers send per day. She texts a survey to 200 teenagers and gets 150 responses. The average from those 150 responses is 87 messages/day.
Which of the following is the variable of interest, and what type is it?