ISAT Grade 11 Statistics and Probability. Practice it free.

Makes inferences and decisions from data and evaluates statistical models. This Grade 11 reporting domain maps to 2 practice skills and 8 representative questions from the playable bank.

Grade 112 mapped skills
What the test measures

Statistics and Probability skills

  1. Understand and evaluate random processes underlying statistical experiments

  2. Make inferences and justify conclusions from sample surveys, experiments, and observational studies

  3. Use the rules of probability to compute probabilities of compound events in a uniform probability model

Standards basis

Idaho Content Standards (Mathematics) — Idaho

How the ISAT reports it

Idaho ISAT is a state assessment administered to grades 3–8 and 11 and reported against Idaho grade-level content standards rather than a separate national testing framework. The public ISAT page points to summative blueprints and math specifications, while the Idaho Content Standards page shows the math program is organized by grade-band/domain progressions aligned to Idaho standards.

Blueprint & weighting

The public Idaho ISAT page references summative blueprints and item specifications, but the accessible official page content did not expose a published domain-by-domain percentage blueprint for math.

Try it now

8 free questions · 0/0 correct

Practice playmedium

An online store's weekly visitors are modeled by v(w)=1,250(1.08)wv(w)=1{,}250(1.08)^w, where ww is the number of weeks after a launch campaign begins. According to the model, how many visitors does the store have 22 weeks after the campaign begins?

Substitute w=2w=2: v(2)=1,250(1.08)2=1,250(1.1664)=1,458v(2)=1{,}250(1.08)^2=1{,}250(1.1664)=1{,}458.

Practice playmedium

A bag contains 66 red marbles and 44 white marbles. Two marbles are drawn one at a time without replacement. The first marble drawn is red. What is the probability that the second marble is white?

After one red marble is removed, 44 white marbles remain out of 99 marbles in the bag. So P(second whitefirst red)=49.P(\text{second white} \mid \text{first red}) = \dfrac{4}{9}\textsf{.}

Practice playmedium

A cold front is expected to reduce a reservoir's algae volume by 34\frac{3}{4} of its previous amount each week. The volume is 640640 cubic meters at the start of week 00. Which equation models the algae volume A(w)A(w), in cubic meters, after ww weeks?

A reduction of 34\frac{3}{4} of the previous volume leaves a remaining factor of 14\frac{1}{4} each week. Starting from 640640, the volume after ww weeks is A(w)=640(14)wA(w)=640\left(\frac{1}{4}\right)^w.

Practice playmedium

A bag contains 44 black marbles and 66 white marbles. Two marbles are drawn one at a time without replacement. The first marble drawn is black. What is the probability that the second marble is also black?

After one black marble is removed, 33 black marbles remain out of 99 marbles in the bag. So P(second blackfirst black)=39=13.P(\text{second black} \mid \text{first black}) = \dfrac{3}{9} = \dfrac{1}{3}\textsf{.}

Practice playeasy

A librarian checked 4040 books selected at random from a collection of 800800 books. She found that 1414 of the books in the sample were fiction. Based on the sample, which of the following is the best estimate of the number of fiction books in the collection?

The sample proportion is 1440=720\dfrac{14}{40} = \dfrac{7}{20}. The best estimate for the collection is 720×800=280\dfrac{7}{20} \times 800 = 280 books.

Practice playeasy

In a class of 2020 students, 1212 students bring lunch from home, and 44 of those students also bring a reusable water bottle. If a student who brings lunch from home is selected at random, what is the probability that the student also brings a reusable water bottle?

Restrict to the 1212 students who bring lunch from home. 44 of them also bring a bottle, so P(bottlelunch from home)=412=13.P(\text{bottle} \mid \text{lunch from home}) = \dfrac{4}{12} = \dfrac{1}{3}\textsf{.}

Practice playeasy

A ball is tossed upward from a platform. The equation h=4.9t2+14t+21h = -4.9t^2 + 14t + 21 represents this situation, where hh is the height of the ball above the ground, in meters, tt seconds after it is tossed. According to the equation, what is the height, in meters, of the platform from which the ball was tossed?

At the moment of release, t=0t = 0. Substituting gives h=4.9(0)2+14(0)+21=21h = -4.9(0)^2 + 14(0) + 21 = 21 meters.

Practice playeasy

The letters of the word BANANA are placed in a bag. Two letters are selected one at a time without replacement. What is the probability of drawing an A and then an N?

The word BANANA has 66 letters with 33 A's and 22 N's. P(A first)=36P(\text{A first}) = \dfrac{3}{6} and P(N secondA first)=25P(\text{N second} \mid \text{A first}) = \dfrac{2}{5}, so P(A then N)=36×25=15.P(\text{A then N}) = \dfrac{3}{6} \times \dfrac{2}{5} = \dfrac{1}{5}\textsf{.}

Keep practicing

Turn statistics and probability into game time.

The ISAT placement starts with this test's real coverage map and finds the right difficulty.