Forward Grade 6 Statistics & Probability. Practice it free.

Develops understanding of statistical variability and summarizes numerical data sets. This Grade 6 reporting domain maps to 7 practice skills and 8 representative questions from the playable bank.

Grade 67 mapped skills
What the test measures

Statistics & Probability skills

  1. Recognize a statistical question as one that anticipates variability in the data related to the question and accounts for it in the answers

  2. Summarize and describe distributions, including center, variability, and shape

  3. Display numerical data in plots on a number line including dot plots, histograms, and box plots

  4. Summarize numerical data sets in relation to their context

  5. Describe the nature of variability in a distribution

Standards basis

Wisconsin Standards for Mathematics — Wisconsin

How the Forward reports it

Wisconsin’s Forward Exam is a state assessment designed to measure students against the recently updated Wisconsin Academic Standards, rather than a separate national framework. The official Forward Exam page confirms the math assessment is administered in grades 3-8 and is aligned to the Wisconsin Academic Standards, but it does not publish a math-specific blueprint on the page itself.

Blueprint & weighting

Not published in the official Forward Exam page content available here. The page confirms alignment to Wisconsin Academic Standards and administration in grades 3-8, but no math blueprint percentages or reporting-category weights are provided on the page content retrieved.

Try it now

8 free questions · 0/0 correct

Practice playeasy

A bookstore tracks five daily sales totals, in dollars: 1010, 1515, 2020, 2525, and 3030. A sixth day with sales of 2020 is added to the data set. How does this affect the mean?

The mean of the original five totals is 10+15+20+25+305=20\dfrac{10+15+20+25+30}{5}=20 dollars. Because the new value equals the current mean, the mean stays 2020.

Practice playeasy

Find the mode of the data set 4, 4, 7, 9, 10, 11.

The mode is the value that appears most often. Only 44 appears twice, so the mode is 44.

Practice playmedium

A fitness tracker recorded daily step counts, in thousands of steps, over 1414 days. The frequency table shows the results.
Steps (thousands)Number of days5382114143172\begin{array}{c|c} \text{Steps (thousands)} & \text{Number of days} \\ \hline 5 & 3 \\ 8 & 2 \\ 11 & 4 \\ 14 & 3 \\ 17 & 2 \end{array}

What is the mean step count per day?

Multiply each step count by its frequency and add: (5×3)+(8×2)+(11×4)+(14×3)+(17×2)=151(5 \times 3) + (8 \times 2) + (11 \times 4) + (14 \times 3) + (17 \times 2) = 151. With 1414 days, the mean is 1511410.79\dfrac{151}{14} \approx 10.79 thousand steps.

Practice playeasy

Five afternoon temperatures, in degrees Fahrenheit, are 68,68\textsf{,} 72,72\textsf{,} 65,65\textsf{,} 74,74\textsf{,} and 71.71\textsf{.} What is the mean temperature?

Mean =68+72+65+74+715=3505=70= \dfrac{68 + 72 + 65 + 74 + 71}{5} = \dfrac{350}{5} = 70.

Practice playeasy

Seven morning temperatures, in degrees Fahrenheit, are 58,58\textsf{,} 80,80\textsf{,} 70,70\textsf{,} 62,62\textsf{,} 72,72\textsf{,} 64,64\textsf{,} and 56.56\textsf{.} What is the median temperature?

In order, the values are 56,56\textsf{,} 58,58\textsf{,} 62,62\textsf{,} 64,64\textsf{,} 70,70\textsf{,} 72,72\textsf{,} 80.80\textsf{.} The median is the middle value, 64.64\textsf{.}

Practice playeasy

Students answered the statistical question "How many snacks did you pack?" The data are 3,5,7,133, 5, 7, 13. What is the mean of the data?

The mean describes the center: add the values and divide by how many there are. 3+5+7+13=283 + 5 + 7 + 13 = 28, and 28÷4=728 \div 4 = 7.

Practice playeasy

Mia writes three survey questions:

• How many minutes do students in my class spend on homework?
• How many minutes did I spend on homework last night?
• How tall are the players on my team?

How many of the three are statistical questions?

A statistical question anticipates variability. Asking how many minutes students spend on homework, and how tall the players are, both ask about a group, so the answers can differ. Asking how many minutes I spent last night asks about one person on one night, so it has one answer. That makes 22 statistical questions.

Practice playeasy

A student logs five daily page counts: 2020, 2525, 3030, 3535, and 4040. A sixth day with 4545 pages read is added to the data set. How does this affect the mean?

The mean of the original five counts is 20+25+30+35+405=30\dfrac{20+25+30+35+40}{5}=30 pages. Because 45>3045>30, adding 4545 pulls the mean up.

Keep practicing

Turn statistics & probability into game time.

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