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AP Statistics AP Statistics Practice Test 2025

AP StatisticsModel questions
100marks
190min
10questions

This is the official AP Statistics AP Statistics question paper for 2025, as set in the Model questions examination. It carries 100 full marks and a time allowance of 190 minutes, across 10 questions. On Kekkei you can attempt this AP Statistics past paper online with a timer, get instant AI feedback and step-by-step solutions, and track the topics where you lose marks — completely free. Whether you are revising for your AP Statistics AP Statistics exam or solving previous years' question papers, this 2025 paper is a great way to practise under real exam conditions.

LevelAP Statistics
SubjectAP Statistics
Year2025 BS
Exam sessionModel questions
Full marks100
Time allowed190 minutes
Questions10, all with step-by-step solutions
A

Multiple Choice

Select the best answer.

10 questions·1 mark each
1Multiple choice1 mark

In a school, 60% play sport, 30% play instrument, 10% do both. P(sport∣instrument)P(\text{sport}|\text{instrument})?

  • a
    16\frac{1}{6}
  • b
    13\frac{1}{3}
  • c
    12\frac{1}{2}
  • d
    23\frac{2}{3}
Correct answer: b
13\frac{1}{3}

P(S∣M)=P(S∩M)/P(M)=0.10/0.30=1/3P(S|M)=P(S\cap M)/P(M)=0.10/0.30=1/3.

The correct answer is (b) 13\frac{1}{3}.

probabilityconditional-probability
2Multiple choice1 mark

A researcher surveys 200 people at a bus stop during rush hour to estimate commute time. Bias type?

  • a

    Selection bias

  • b

    Response bias

  • c

    Nonresponse bias

  • d

    Measurement bias

Correct answer: a

Selection bias

Convenience sample excluding drivers, remote workers, etc. This is selection bias (undercoverage).

The correct answer is (a) Selection bias.

samplingbias
3Multiple choice1 mark

Bulbs claim: μ=1000\mu=1000 hr. Test of 64: xˉ=985\bar{x}=985, s=60s=60. Test statistic for Ha:μ<1000H_a:\mu<1000?

  • a
    −1.5-1.5
  • b
    −1.75-1.75
  • c
    −2.0-2.0
  • d
    −2.5-2.5
Correct answer: c
−2.0-2.0

z=(985−1000)/(60/8)=−15/7.5=−2.0z=(985-1000)/(60/8)=-15/7.5=-2.0.

The correct answer is (c) −2.0-2.0.

hypothesis-testingz-test
4Multiple choice1 mark

400 voters, 220 support measure. 95% CI for true proportion?

  • a

    (0.475,0.625)(0.475, 0.625)

  • b

    (0.501,0.599)(0.501, 0.599)

  • c

    (0.520,0.580)(0.520, 0.580)

  • d

    (0.510,0.590)(0.510, 0.590)

Correct answer: b

(0.501,0.599)(0.501, 0.599)

p^=0.55\hat{p}=0.55, SE≈0.0249SE\approx 0.0249. CI: (0.501,0.599)(0.501, 0.599).

The correct answer is (b).

confidence-intervalsproportion
5Multiple choice1 mark

Regression: y^=3.2+1.5x\hat{y}=3.2+1.5x, r=0.92r=0.92. Which is correct?

  • a

    About 92% of variability in y is explained by x

  • b

    For each unit increase in x, y increases by exactly 1.5

  • c

    About 84.6% of variability in y is explained by the linear relationship with x

  • d

    The y-intercept always has a meaningful interpretation

Correct answer: c

About 84.6% of variability in y is explained by the linear relationship with x

r2=0.8464r^2=0.8464: about 84.6% of variability in yy explained by xx.

The correct answer is (c).

regressionleast-squares
6Multiple choice1 mark

50 to drug, 50 to placebo via random assignment. Primary purpose?

  • a

    To ensure representativeness

  • b

    To reduce the placebo effect

  • c

    To eliminate all lurking variables

  • d

    To balance potential confounding variables across treatment groups

Correct answer: d

To balance potential confounding variables across treatment groups

Random assignment balances confounding variables across groups.

The correct answer is (d).

experimental-designrandomization
7Multiple choice1 mark

μ=500\mu=500, σ=100\sigma=100. P(400<X<600)P(400<X<600)?

  • a

    0.50

  • b

    0.68

  • c

    0.95

  • d

    0.34

Correct answer: b

0.68

P(−1<Z<1)≈0.68P(-1<Z<1)\approx 0.68 by empirical rule.

The correct answer is (b) 0.68.

distributionsnormal-distribution
8Multiple choice1 mark

Game costs $5. Die roll: 6 wins $20; 4 or 5 wins $10; else $0. Expected net gain?

  • a

    -\1.67$

  • b

    $0.00

  • c

    $1.67

  • d

    $6.67

Correct answer: c

$1.67

E(W)=(20+20)/6=40/6≈6.67E(W)=(20+20)/6=40/6\approx 6.67. Net = $1.67.

The correct answer is (c) $1.67.

probabilityexpected-value
9Multiple choice1 mark

Chi-square test on 3×43\times 4 table. Degrees of freedom?

  • a

    11

  • b

    12

  • c

    6

  • d

    7

Correct answer: c

6

df=(3−1)(4−1)=6df=(3-1)(4-1)=6.

The correct answer is (c) 6.

hypothesis-testingchi-square
10Multiple choice1 mark

CLT says as nn increases, the sampling distribution of xˉ\bar{x}:

  • a

    approaches a normal distribution regardless of population shape

  • b

    approaches the population distribution shape

  • c

    has SD equal to population SD

  • d

    has mean larger than population mean

Correct answer: a

approaches a normal distribution regardless of population shape

Approaches normal regardless of population shape.

The correct answer is (a).

samplingcentral-limit-theorem

Frequently asked questions

Where can I find the AP Statistics AP Statistics question paper 2025?
The full AP Statistics AP Statistics 2025 (Model questions) question paper is available free on Kekkei. You can read every question online and attempt the paper under timed exam conditions.
Does the AP Statistics 2025 paper come with solutions?
Yes. Every question on this AP Statistics past paper includes a step-by-step solution, plus instant AI feedback when you attempt it on Kekkei.
How many marks is the AP Statistics AP Statistics 2025 paper?
The AP Statistics AP Statistics 2025 paper carries 100 full marks and is meant to be completed in 190 minutes, across 10 questions.
Is practising this AP Statistics past paper free?
Yes — reading and attempting this AP Statistics past paper on Kekkei is completely free.