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🇺🇸 California High School Proficiency Examination (CHSPE) · flashcards
California High School Proficiency Examination (CHSPE) Mathematics: Data Analysis, Statistics, and Probability Flashcards
50 question-and-answer cards covering Mathematics: Data Analysis, Statistics, and Probability as it is examined in California High School Proficiency Examination (CHSPE). 24 of them are printed below, taken from across the deck — no signup, no paywall on the preview.
24 sample cards from the Mathematics: Data Analysis, Statistics, and Probability deck
Sampled from the end of the deck, so these are different cards from the ones shown on the syllabus page.
What does the range tell you about a data set?
It measures the total spread or variation — how far apart the highest and lowest values are. A larger range means more spread.
What is the interquartile range (IQR) and how is it found?
The IQR is the spread of the middle 50% of data, found by subtracting the first quartile from the third quartile: IQR = Q3 − Q1.
What does a small range or small standard deviation indicate about data?
That the data values are clustered closely together (low variation/spread).
Find the range of: 12, 7, 22, 15, 9.
Range = 22 − 7 = 15.
If you add the same constant to every value in a data set, what happens to the mean?
The mean increases by that same constant.
If you add the same constant to every value in a data set, what happens to the range?
The range stays the same, because both the maximum and minimum shift by the same amount.
If you multiply every value in a data set by a constant, what happens to the mean and range?
Both the mean and the range are multiplied by that same constant.
How does removing an outlier typically affect the mean and the range?
It usually moves the mean closer to the center of the remaining data and decreases the range (less spread).
If a new value equal to the current mean is added to a data set, what happens to the mean?
The mean stays the same, because the added value matches the existing average.
What is the basic formula for the probability of an event?
P(event) = (number of favorable outcomes) / (total number of possible outcomes).
What is the range of possible values for any probability?
Between 0 and 1 inclusive (0 ≤ P ≤ 1), or equivalently 0% to 100%.
What probability value represents an impossible event, and what value represents a certain event?
An impossible event has probability 0; a certain event has probability 1.
What is the sample space of an experiment?
The set of all possible outcomes of the experiment.
How do you find the probability that an event will NOT happen (the complement)?
Subtract the probability that it will happen from 1: P(not A) = 1 − P(A).
What is the probability of rolling a 4 on a standard six-sided die?
1/6, because there is 1 favorable outcome out of 6 equally likely outcomes.
What are independent events?
Events where the outcome of one does not affect the probability of the other, such as flipping a coin twice.
What are dependent events?
Events where the outcome of one affects the probability of the other, such as drawing two cards without replacing the first.
How do you find the probability of two independent events both occurring (event A AND event B)?
Multiply their probabilities: P(A and B) = P(A) × P(B).
What is the probability of flipping two coins and getting heads on both?
P = 1/2 × 1/2 = 1/4.
How do you find the probability of mutually exclusive events (event A OR event B)?
Add their probabilities: P(A or B) = P(A) + P(B), since they cannot occur at the same time.
What does it mean for two events to be mutually exclusive?
They cannot both happen at the same time, such as rolling a 2 or a 5 on a single die roll.
What is the difference between theoretical and experimental probability?
Theoretical probability is based on expected outcomes calculated mathematically; experimental probability is based on the actual results observed from repeated trials.
How do you calculate experimental probability?
P(event) = (number of times the event occurred) / (total number of trials).
How can probability be used to make a prediction about a large number of trials?
Multiply the probability of the event by the total number of trials: expected occurrences = P(event) × number of trials. For example, P(heads) = 1/2 over 200 flips predicts about 100 heads.
What this deck covers
The Mathematics: Data Analysis, Statistics, and Probability deck follows the California High School Proficiency Examination (CHSPE) Mathematics: Data Analysis, Statistics, and Probability syllabus — 3 chapters and 9 topics — so questions land on material that is genuinely examinable rather than trivia around it. That works out to roughly 16.7 cards per chapter.
Answers are written to be recallable, not just readable — averaging about 86 characters, which is long enough to carry the reasoning and short enough to say out loud.
A deck like this earns its keep on the second and third pass. Read the syllabus first so you know the shape of the subject, then use the cards to find the specific facts that have not stuck.
Mathematics: Data Analysis, Statistics, and Probability flashcards FAQ
How many Mathematics: Data Analysis, Statistics, and Probability flashcards are in this California High School Proficiency Examination (CHSPE) deck?
50 cards. This page previews 24 of them, sampled evenly across the deck so you can judge the difficulty before installing anything.
Are these California High School Proficiency Examination (CHSPE) flashcards free?
Yes. The preview here is free to read with no signup, and the full 50-card deck is free inside the Examius app.
What do the Mathematics: Data Analysis, Statistics, and Probability cards cover?
They follow the California High School Proficiency Examination (CHSPE) Mathematics: Data Analysis, Statistics, and Probability syllabus — 3 chapters and 9 topics — so the questions track what is actually examinable.
How should I use these flashcards?
Read the syllabus first so you know the shape of the subject, then drill the deck. Examius schedules each card with spaced repetition, so cards you keep missing come back sooner and ones you know drift further apart.