ISASP Grades 6-8 Statistics and Probability. Practice it free.

Students investigate data distributions and elementary probability. This Grades 6-8 reporting domain maps to 9 practice skills and 8 representative questions from the playable bank.

Grades 6-89 mapped skills
What the test measures

Statistics and Probability skills

  1. Develop understanding of statistical variability

  2. Summarize and describe distributions

  3. Investigate patterns of association in bivariate data

Standards basis

Iowa Academic Standards / Iowa Core Mathematics — Iowa

How the ISASP reports it

ISASP is Iowa’s statewide assessment program administered by the state Department of Education and aligned to Iowa Academic Standards / Iowa Core rather than a multi-state blueprint like SBAC or ACT. The public materials accessible here establish the tested grades and that mathematics results are reported statewide, but I could not locate an official public math blueprint PDF on the Iowa DOE site in the available sources.

Blueprint & weighting

ISASP uses the Independent / state-specific framework (by grade domains structure).

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8 free questions · 0/0 correct

Practice playmedium

A basketball player recorded points scored in each of 1616 games. The frequency table shows the results.
Points scoredNumber of games182213244274303\begin{array}{c|c} \text{Points scored} & \text{Number of games} \\ \hline 18 & 2 \\ 21 & 3 \\ 24 & 4 \\ 27 & 4 \\ 30 & 3 \end{array}

What is the mean number of points scored per game?

Multiply each point total by its frequency and add: (18×2)+(21×3)+(24×4)+(27×4)+(30×3)=393(18 \times 2) + (21 \times 3) + (24 \times 4) + (27 \times 4) + (30 \times 3) = 393. With 1616 games, the mean is 39316=24.5625\dfrac{393}{16} = 24.5625 points per game.

Practice playeasy

A team answered the statistical question "How many laps did you run?" The data are 8,2,9,3,68, 2, 9, 3, 6. What is the median of the data?

The median describes the center: put the values in order and take the middle. In order: 2,3,6,8,92, 3, 6, 8, 9. The middle value is 66.

Practice playeasy

Which of these is NOT a statistical question?

A statistical question anticipates variability: many people or things can give different answers. "How many pets does my family own?" asks about one family, so it has one answer. It is not a statistical question.

Practice playeasy

A weather station records five daily rainfall amounts, in inches: 11, 22, 33, 44, and 55. The lowest amount, 11 inch, is removed from the data set. How does this affect the mean?

The mean of the original five amounts is 1+2+3+4+55=3\dfrac{1+2+3+4+5}{5}=3 inches. Because 1<31<3, removing the smallest value raises the mean.

Practice playeasy

The ages, in years, of seven students are 10,10\textsf{,} 16,16\textsf{,} 14,14\textsf{,} 8,8\textsf{,} 13,13\textsf{,} 15,15\textsf{,} and 8.8\textsf{.} What is the mean age?

Mean =10+16+14+8+13+15+87=847=12= \dfrac{10 + 16 + 14 + 8 + 13 + 15 + 8}{7} = \dfrac{84}{7} = 12.

Practice playeasy

Find the range of 4, 9, 2, 7.

Range =maxmin=92=7= \max - \min = 9 - 2 = 7.

Practice playeasy

Five quiz scores are 92,92\textsf{,} 68,68\textsf{,} 75,75\textsf{,} 88,88\textsf{,} and 77.77\textsf{.} What is the median score?

In order, the values are 68,68\textsf{,} 75,75\textsf{,} 77,77\textsf{,} 88,88\textsf{,} 92.92\textsf{.} The median is the middle value, 77.77\textsf{.}

Practice playeasy

A trend line for hours studied xx and quiz score yy is y=4x+62y = 4x + 62. What score does the line predict for a student who studies 33 hours?

Substitute x=3x = 3: y=4(3)+62=12+62=74y = 4(3) + 62 = 12 + 62 = 74.

Keep practicing

Turn statistics and probability into game time.

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